From: Peter Schaefer <schaeferpm@gmail.com>
Date: Thu, 11 Apr 2013 09:49:33 +0000 (+0200)
Subject: [doc] besseres Quad Plot
X-Git-Url: https://git.leopard-lacewing.eu/?a=commitdiff_plain;h=62937562b31f68024250681a14785c05d747433f;p=bacc.git

[doc] besseres Quad Plot
[doc] Kapitel 2 Fertig?
---

diff --git a/doc/code.pdf b/doc/code.pdf
index 1c527fe..829ab3b 100644
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diff --git a/doc/doc.pdf b/doc/doc.pdf
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diff --git a/doc/doc.tex b/doc/doc.tex
index eaa6d16..929b23f 100644
--- a/doc/doc.tex
+++ b/doc/doc.tex
@@ -86,6 +86,9 @@
 \newcommand{\Matlab}{{\sc Matlab}}
 \newcommand{\Cpp}{{\sc C++}}
 
+\newcommand{\llangle}{\langle\!\langle}
+\newcommand{\rrangle}{\rangle\!\rangle}
+
 \newcommand{\showMesh}[2][]{\begin{figure}[ht]
 \caption{#1}
 \label{#2}
@@ -216,7 +219,7 @@ und bezeichne $\gamma_0 \in L(H^1(\Omega)),H^{1/2}(\Gamma))$ den Spuroperator, d
 In der schwachen Formulierung lautet die Laplace-Gleichung
 \begin{align*} % \label{math:slp:lapGLS:weak}
 - \varDelta u  &= 0 \quad \text{ in } H^{-1}(\Omega),	\\
-\gamma_0 u &=  g \quad \text{ auf }H^{1/2}(\Gamma),
+\gamma_0 u &=  g \quad \text{ auf }H^{1/2}(\Gamma).
 \end{align*}
 Gemäß \todo{cite Steinbach} kann $\tilde V$ auch als Operator $\tilde V \in L(H^{-1/2}(\Gamma),H^{1}(\Omega))$ aufgefasst werden, und es gilt
 \begin{align*}
@@ -231,9 +234,52 @@ Wir machen nun den sogenannten indirekten Ansatz $u = \tilde V\phi$, wodurch
 \begin{align}\label{math:slp:gls}
   V \phi = g
 \end{align}
-mit $V := \gamma_0\tilde V$ gilt. Ziel ist es nun, aus \eqref{math:slp:gls} eine Funktion $\phi$ zu bestimmen, die die obige Gleichung erfüllt, denn dann ist $\tilde V\phi$ die Lösung des Problems \eqref{math:slp:lapGLS}.
+mit $V := \gamma_0\tilde V$ gilt. Ziel ist es nun, aus \eqref{math:slp:gls} eine Funktion $\phi$ zu bestimmen, die die obige Gleichung erfüllt, denn dann ist mit festen Dirichlet-Daten $g$ $\tilde V\phi$ die eindeutige Lösung des Problems \eqref{math:slp:lapGLS}.
+
+\noindent
+Da wir das Problem \eqref{math:slp:gls} im allgemeinen nicht Lösen können, werden wir es mithilfe des Galerkin-Verfahrens näherungsweise lösen. Die Idee dabei ist $H^{-1/2}(\Gamma)$ durch einen endlich dimensionalen Unterraum zu ersetzen.
+
+\noindent
+Bezeichne nun $\langle \cdot, \cdot \rangle$ das erweiterte $L^2$-Skalarprodukt, so existiert, da $V$ ein symmetrischer und elliptischer Isomorphismus ist, auf $\widetilde H^{-1/2}$ ein äquivalentes Skalarprodukt $\llangle \cdot, \cdot \rrangle$ mit $\llangle \phi, \psi \rrangle := \langle V\phi,\psi\rangle$ und der induzierten Norm $\enorm{\cdot}$.
+Sei nun $\phi$ die eindeutige Lösung und bezeichne $g$ die Dirichlet-Daten am Rand. Dann gilt für die schwache Formulierung \eqref{math:slp:gls}
+\begin{align}
+  \llangle \phi,\psi\rrangle = \langle g,\psi\rangle \quad \text{für alle }\psi \in \widetilde H^{-1/2}.
+\end{align}
+
+\noindent
+Sei nun $\T_{\ell} = \{T_1,T_2,\ldots,T_N\}$ eine Partition des Randes $\Gamma$ in $N$ Randstücke $T_1,T_2,\ldots,T_N$ mit der charakteristischen Funktion
+\begin{align}
+  \chi_i(\bs x) &= 
+  \begin{cases}
+    1&\text{für alle }\bs x \in T_i\\
+    0&\text{sonst}
+  \end{cases}
+\end{align}
+für alle $i\in\{1,2,\ldots,N\}$. Dann kann die Funktion $\chi_i$ als Basis vom Raum $\P^0(\T_{\ell})$ verstanden werden. Wir suchen also die Lösung $\psi_{\ell} \in P^0(\T_{\ell})$ für
+\begin{align}
+ \llangle \phi_{\ell},\psi_{\ell} \rrangle & = \langle f,\psi_{\ell} \rangle\quad\text{für alle } \psi_{\ell} \in P^0(\T_{\ell}),
+\end{align}
+was aufgrund der Basiseigenschaft von $\chi_i$ eindeutig und äquivalent ist zu
+\begin{align}
+ \llangle \phi_{\ell},\chi_j \rrangle & = \langle f,\chi_j \rangle\quad\text{für alle } j\in\{1,2,\ldots,N\}.
+\end{align}
+Dadurch können wir das Problem als Summe anschreiben
+\begin{align}
+  \sum_{j=1}^N x_{\ell,j} \llangle \chi_j,\chi_i\rrangle = \langle g, \chi_i\rangle,
+\end{align}
+wobei $\bs x_{\ell} = \{x_{\ell,1},x_{\ell,2},\ldots,x_{\ell,N}\}$ der Koordinatenvektor zur Basis $\chi_1,\ldots,\chi_N$ ist.
+So schreiben wir
+\begin{align}
+  \bs V \bs x_{\ell} = \bs g_{\ell},
+\end{align}
+mit Bezeichnungen $\bs V = \llangle \chi_j,\chi_i\rrangle$ und sei $\bs g_{\ell}\in\R^N$ mit den Koeffizienten $g_{\ell,i} = \langle g, \chi_j\rangle$.
+In Integralschreibweise können wir $\bs V$ anschreiben als
+\begin{align}
+  V := \frac 1 {4\pi} \int_{T_j} \int_{T_k} \frac {1}{\abs{\bs x - \bs y}} ds_{\bs y} ds_{\bs x}
+\end{align}
 
-\subsection{old Galerkin}
+
+% \subsection{old Galerkin}
 % Wir wissen, dass die Laplace-Gleichung erfüllt wird durch:
 % \begin{align}
 % V\phi &= g \label{Formel}
@@ -255,80 +301,80 @@ mit $V := \gamma_0\tilde V$ gilt. Ziel ist es nun, aus \eqref{math:slp:gls} eine
 % \begin{align}
 %  V : H^{-1/2+s}(\Gamma) &\rightarrow H^{1/2+s}(\Gamma)& \text{mit } s\in [-1/2,1/2]
 % \end{align}
-\begin{lem}[Lax-Milgram]
-Sei eine Abbildung $a: X\times X \rightarrow \R$ wobei $X$ ein reflexiver Banachraum. Und gilt:
-\begin{itemize}
- \item $a$ stetig, d.h. : $\abs{a(x,y)} \leq C \cdot \norm{x} \cdot \norm{y}$
- \item $a$ eliptisch, d.h. : $a(x,x) \geq X \cdot \norm{x}^2$
-\end{itemize}
-So folgt daraus 
-$\forall f \in X'$ $\exists $ eindeutiges  $x \in X$ mit $a(x,\cdot) = f$.
-\end{lem}
-\begin{defi}
-Sei $\langle \cdot, \cdot \rangle$ das erweiterte $L_2$ - Skalarprodukt
-\end{defi}
-Wendet man nun das Lax-Milgram Lemma auf die schwache Formulierung an,
-\begin{align}
- \langle V \phi, \psi\rangle &= \langle f,\psi\rangle & \psi \in H^{-1/2}\\
-a(\phi,\psi) &:= \langle V\phi,\psi\rangle&:H^{-1/2}(\Gamma)\times H^{-1/2}(\Gamma) \rightarrow \R
-\end{align}
-zeigen wir noch, dass:
-\begin{itemize}
- \item $H^{-1/2}(\Gamma)$ ist reflexiver Banachraum, welches aus der Definition von $H^{-1/2}$ folgt
- \item $ \abs{\langle V\phi,\psi \rangle} \leq C \cdot \norm{\phi}_{H^{-1/2}} \cdot \norm{\psi}_{H^{-1/2}}$
- \item $ \langle V\phi,\phi \rangle \geq C \cdot \norm{\phi}_{H^{-1/2}}^2$
-\end{itemize}
-Daraus folgt nun dass, $\forall f \in H^{-1/2}$ $\exists$ eindeutige Lösung $\phi \in H^{-1/2}(\Gamma)$ von
-\begin{align}
- \langle V \phi, \psi \rangle &=\langle f, \psi \rangle & \forall \psi \in H^{-1/2}(\Gamma)
-\end{align}
-Wollen wir nun das Galerkin-Verfahren anwenden benötigen wir die schwache Formulierung:
-\begin{align}
- \int_{\Gamma} V \phi(x) \cdot \psi(x) dx &= \int_{\Gamma} f(x)\cdot\psi(x) dx 
-\end{align}
-Nun wählen wir einen endlich-dimensionalen Teilraum $P^0(\T_n) \subseteq H^{-1/2}$ und betrachten
-
-\begin{defi}\label{1}
-\begin{align}
- \langle V\phi_{\ell},\psi_{\ell} \rangle & = \langle f,\psi_{\ell} \rangle& \forall \psi_{\ell} \in P^0(\T_{\ell})
-\end{align}
-\end{defi}
-Gesucht ist jetzt also $\phi_{\ell} \in P^0(\T_{\ell})$
-
-\noindent
-Aus dem Max-Milgram Lemma und $X = P^0(\T_{\ell})$ folgt wiederum, es $\exists$ eindeutige Lösung $\phi_{\ell} \in P^0(\T_{\ell})$, da $\psi_{\ell} \in P^0(\T_{\ell}),\phi_{\ell} \in P^0(\T_{\ell})$.
-\begin{defi}
- Sei nun die Basis von $P^0(\T_{\ell})$ die charakteristischen Funktionen
-\begin{align}
- \{\chi_T | T\in\T_{\ell}\} &= \{\chi_{T_1},\chi_{T_2},\dots\}
-\end{align}
-\end{defi}
-So können wir mit $N = \dim P^0(\T_{\ell})$ und $\psi_{\ell},\phi_{\ell}\in\R$ wobei $l\in \{1\dots N\}$ schreiben
-\begin{align}
- \psi_{\ell} &= \sum_{l=1}^N \psi_{\ell} \cdot \chi_{T_{\ell}} \\
- \phi_{\ell} &= \sum_{l=1}^N \phi_{\ell} \cdot \chi_{T_{\ell}}
-\end{align}
-Dadurch können wir Definition \ref{1} nun einfacher Lösen durch:
-\begin{align}
- \langle V \phi_{\ell},\chi_k\rangle & = \langle f, \chi_k \rangle & k = 1\dots N
-\end{align}
-Aufgrund der Linearität von $V$ und dem Skalarprodukt schreiben wir:
-\begin{align}
-\sum_{l=1}^N\langle V\phi_{\ell}\chi_{\ell},\chi_k\rangle & = \langle f,\chi_k\rangle
-\end{align}
-welches sich wiederum so schreiben lässt
-\begin{defi}[Galerkinapproximation]
-\begin{align}
-\ul{\ul{V}} \cdot \ul{\phi} = \ul{f}
-\end{align}
-wobei $\ul{\ul{V}}\in R^{N \times N},\ul{\phi}\in\R^{N \times 1},\ul{f}\in\R^{N \times 1}$
-\begin{align}
- \ul{\ul{V}}_{\ell,k} &= \langle V \chi_{\ell}, \chi_k \rangle\\
- \ul{\phi}_{\ell} &= \phi_{\ell} \nonumber\\
- \ul{f}_k &= \langle f, \chi_k\rangle \nonumber
-\end{align}
-Damit ist $\phi_{\ell}$ die Galerkinapproximation an $\phi$
-\end{defi}
+% \begin{lem}[Lax-Milgram]
+% Sei eine Abbildung $a: X\times X \rightarrow \R$ wobei $X$ ein reflexiver Banachraum. Und gilt:
+% \begin{itemize}
+%  \item $a$ stetig, d.h. : $\abs{a(x,y)} \leq C \cdot \norm{x} \cdot \norm{y}$
+%  \item $a$ eliptisch, d.h. : $a(x,x) \geq X \cdot \norm{x}^2$
+% \end{itemize}
+% So folgt daraus 
+% $\forall f \in X'$ $\exists $ eindeutiges  $x \in X$ mit $a(x,\cdot) = f$.
+% \end{lem}
+% \begin{defi}
+% Sei $\langle \cdot, \cdot \rangle$ das erweiterte $L_2$ - Skalarprodukt
+% \end{defi}
+% Wendet man nun das Lax-Milgram Lemma auf die schwache Formulierung an,
+% \begin{align}
+%  \langle V \phi, \psi\rangle &= \langle f,\psi\rangle & \psi \in H^{-1/2}\\
+% a(\phi,\psi) &:= \langle V\phi,\psi\rangle&:H^{-1/2}(\Gamma)\times H^{-1/2}(\Gamma) \rightarrow \R
+% \end{align}
+% zeigen wir noch, dass:
+% \begin{itemize}
+%  \item $H^{-1/2}(\Gamma)$ ist reflexiver Banachraum, welches aus der Definition von $H^{-1/2}$ folgt
+%  \item $ \abs{\langle V\phi,\psi \rangle} \leq C \cdot \norm{\phi}_{H^{-1/2}} \cdot \norm{\psi}_{H^{-1/2}}$
+%  \item $ \langle V\phi,\phi \rangle \geq C \cdot \norm{\phi}_{H^{-1/2}}^2$
+% \end{itemize}
+% Daraus folgt nun dass, $\forall f \in H^{-1/2}$ $\exists$ eindeutige Lösung $\phi \in H^{-1/2}(\Gamma)$ von
+% \begin{align}
+%  \langle V \phi, \psi \rangle &=\langle f, \psi \rangle & \forall \psi \in H^{-1/2}(\Gamma)
+% \end{align}
+% Wollen wir nun das Galerkin-Verfahren anwenden benötigen wir die schwache Formulierung:
+% \begin{align}
+%  \int_{\Gamma} V \phi(x) \cdot \psi(x) dx &= \int_{\Gamma} f(x)\cdot\psi(x) dx 
+% \end{align}
+% Nun wählen wir einen endlich-dimensionalen Teilraum $P^0(\T_n) \subseteq H^{-1/2}$ und betrachten
+% 
+% \begin{defi}\label{1}
+% \begin{align}
+%  \llangle \phi_{\ell},\psi_{\ell} \rrangle & = \langle f,\psi_{\ell} \rangle\quad\text{für alle } \psi_{\ell} \in P^0(\T_{\ell})
+% \end{align}
+% \end{defi}
+% Gesucht ist jetzt also $\phi_{\ell} \in P^0(\T_{\ell})$
+% 
+% \noindent
+% Aus dem Max-Milgram Lemma und $X = P^0(\T_{\ell})$ folgt wiederum, es $\exists$ eindeutige Lösung $\phi_{\ell} \in P^0(\T_{\ell})$, da $\psi_{\ell} \in P^0(\T_{\ell}),\phi_{\ell} \in P^0(\T_{\ell})$.
+% \begin{defi}
+%  Sei nun die Basis von $P^0(\T_{\ell})$ die charakteristischen Funktionen
+% \begin{align}
+%  \{\chi_T | T\in\T_{\ell}\} &= \{\chi_{T_1},\chi_{T_2},\dots\}
+% \end{align}
+% \end{defi}
+% So können wir mit $N = \dim P^0(\T_{\ell})$ und $\psi_{\ell},\phi_{\ell}\in\R$ wobei $l\in \{1\dots N\}$ schreiben
+% \begin{align}
+%  \psi_{\ell} &= \sum_{l=1}^N \psi_{\ell} \cdot \chi_{T_{\ell}} \\
+%  \phi_{\ell} &= \sum_{l=1}^N \phi_{\ell} \cdot \chi_{T_{\ell}}
+% \end{align}
+% Dadurch können wir Definition \ref{1} nun einfacher Lösen durch:
+% \begin{align}
+%  \langle V \phi_{\ell},\chi_k\rangle & = \langle f, \chi_k \rangle & k = 1\dots N
+% \end{align}
+% Aufgrund der Linearität von $V$ und dem Skalarprodukt schreiben wir:
+% \begin{align}
+% \sum_{l=1}^N\langle V\phi_{\ell}\chi_{\ell},\chi_k\rangle & = \langle f,\chi_k\rangle
+% \end{align}
+% welches sich wiederum so schreiben lässt
+% \begin{defi}[Galerkinapproximation]
+% \begin{align}
+% \ul{\ul{V}} \cdot \ul{\phi} = \ul{f}
+% \end{align}
+% wobei $\ul{\ul{V}}\in R^{N \times N},\ul{\phi}\in\R^{N \times 1},\ul{f}\in\R^{N \times 1}$
+% \begin{align}
+%  \ul{\ul{V}}_{\ell,k} &= \langle V \chi_{\ell}, \chi_k \rangle\\
+%  \ul{\phi}_{\ell} &= \phi_{\ell} \nonumber\\
+%  \ul{f}_k &= \langle f, \chi_k\rangle \nonumber
+% \end{align}
+% Damit ist $\phi_{\ell}$ die Galerkinapproximation an $\phi$
+% \end{defi}
 
 
 % \subsection{Vorkonditionieren}
diff --git a/doc/fig/132t05n05_3DFichCube_cond.eps b/doc/fig/132t05n05_3DFichCube_cond.eps
index 3fd178d..42d23c5 100644
--- a/doc/fig/132t05n05_3DFichCube_cond.eps
+++ b/doc/fig/132t05n05_3DFichCube_cond.eps
@@ -1,7 +1,7 @@
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+%%Creator: MATLAB, The MathWorks, Inc. Version 8.1.0.604 (R2013a). Operating System: Linux 3.5.0-27-generic #46-Ubuntu SMP Mon Mar 25 19:58:17 UTC 2013 x86_64.
 %%Title: ../doc/fig/132t05n05_3DFichCube_cond.eps
-%%CreationDate: 04/08/2013  13:19:07
+%%CreationDate: 04/11/2013  10:22:36
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-  25   25 2391 1956 FO
-  25   25 2464 1962 FO
-  25   25 2534 1779 FO
-  25   25 2608 1780 FO
-  25   25 2663 1781 FO
-  25   25 2742 1633 FO
-  25   25 2804 1658 FO
-  25   25 2882 1576 FO
-  25   25 2951 1490 FO
-  25   25 3036 1328 FO
-  25   25 3130 1054 FO
-  25   25 3219 1073 FO
-  25   25 3319  618 FO
-  25   25 3422  781 FO
+132 -455 119 19 126 -274 113 -162 92 -86 105 -82 82 25 106 -148 
+73 1 99 1 92 -183 97 6 131 -186 114 8 152 -185 120 7 
+219 -166 142 30 245 -170 235 -122 528 -139 1095 2879 22 MP stroke
+gs 1044 567 3225 2364 MR c np
+  25   25 1095 2879 FO
+  25   25 1623 2740 FO
+  25   25 1858 2618 FO
+  25   25 2103 2448 FO
+  25   25 2245 2478 FO
+  25   25 2464 2312 FO
+  25   25 2584 2319 FO
+  25   25 2736 2134 FO
+  25   25 2850 2142 FO
+  25   25 2981 1956 FO
+  25   25 3078 1962 FO
+  25   25 3170 1779 FO
+  25   25 3269 1780 FO
+  25   25 3342 1781 FO
+  25   25 3448 1633 FO
+  25   25 3530 1658 FO
+  25   25 3635 1576 FO
+  25   25 3727 1490 FO
+  25   25 3840 1328 FO
+  25   25 3966 1054 FO
+  25   25 4085 1073 FO
+  25   25 4217  618 FO
 gr
 
 /c9 { 0.000000 0.600000 0.600000 sr} bdef
 c9
-103 162 100 -454 89 19 94 -274 85 -162 69 -86 78 -82 62 25 
-79 -148 55 1 74 1 70 -183 73 6 97 -186 86 8 114 -185 
-90 7 165 -166 106 30 184 -170 176 -122 396 -139 977 2879 23 MP stroke
-gs 926 568 2548 2363 MR c np
+132 -454 119 19 126 -274 113 -162 92 -86 105 -82 82 25 106 -148 
+73 1 99 1 92 -183 97 6 131 -186 114 8 152 -185 120 7 
+219 -166 142 30 245 -170 235 -122 528 -139 1095 2879 22 MP stroke
+gs 1044 568 3225 2363 MR c np
 0 j
-29 50 -58 0 29 -50 977 2912 4 MP
-DP
-29 50 -58 0 29 -50 1373 2773 4 MP
+29 50 -58 0 29 -50 1095 2912 4 MP
 DP
-29 50 -58 0 29 -50 1549 2651 4 MP
+29 50 -58 0 29 -50 1623 2773 4 MP
 DP
-29 50 -58 0 29 -50 1733 2481 4 MP
+29 50 -58 0 29 -50 1858 2651 4 MP
 DP
-29 50 -58 0 29 -50 1839 2511 4 MP
+29 50 -58 0 29 -50 2103 2481 4 MP
 DP
-29 50 -58 0 29 -50 2004 2345 4 MP
+29 50 -58 0 29 -50 2245 2511 4 MP
 DP
-29 50 -58 0 29 -50 2094 2352 4 MP
+29 50 -58 0 29 -50 2464 2345 4 MP
 DP
-29 50 -58 0 29 -50 2208 2167 4 MP
+29 50 -58 0 29 -50 2584 2352 4 MP
 DP
-29 50 -58 0 29 -50 2294 2175 4 MP
+29 50 -58 0 29 -50 2736 2167 4 MP
 DP
-29 50 -58 0 29 -50 2391 1989 4 MP
+29 50 -58 0 29 -50 2850 2175 4 MP
 DP
-29 50 -58 0 29 -50 2464 1995 4 MP
+29 50 -58 0 29 -50 2981 1989 4 MP
 DP
-29 50 -58 0 29 -50 2534 1812 4 MP
+29 50 -58 0 29 -50 3078 1995 4 MP
 DP
-29 50 -58 0 29 -50 2608 1813 4 MP
+29 50 -58 0 29 -50 3170 1812 4 MP
 DP
-29 50 -58 0 29 -50 2663 1814 4 MP
+29 50 -58 0 29 -50 3269 1813 4 MP
 DP
-29 50 -58 0 29 -50 2742 1666 4 MP
+29 50 -58 0 29 -50 3342 1814 4 MP
 DP
-29 50 -58 0 29 -50 2804 1691 4 MP
+29 50 -58 0 29 -50 3448 1666 4 MP
 DP
-29 50 -58 0 29 -50 2882 1609 4 MP
+29 50 -58 0 29 -50 3530 1691 4 MP
 DP
-29 50 -58 0 29 -50 2951 1523 4 MP
+29 50 -58 0 29 -50 3635 1609 4 MP
 DP
-29 50 -58 0 29 -50 3036 1361 4 MP
+29 50 -58 0 29 -50 3727 1523 4 MP
 DP
-29 50 -58 0 29 -50 3130 1087 4 MP
+29 50 -58 0 29 -50 3840 1361 4 MP
 DP
-29 50 -58 0 29 -50 3219 1106 4 MP
+29 50 -58 0 29 -50 3966 1087 4 MP
 DP
-29 50 -58 0 29 -50 3319 652 4 MP
+29 50 -58 0 29 -50 4085 1106 4 MP
 DP
-29 50 -58 0 29 -50 3422 814 4 MP
+29 50 -58 0 29 -50 4217 652 4 MP
 DP
 gr
 
 /c10 { 0.600000 0.000000 0.600000 sr} bdef
 c10
-103 -258 100 -175 89 -175 94 22 85 -162 69 -85 78 -82 62 25 
-79 -148 55 1 74 1 70 -183 73 6 97 -186 86 8 114 -185 
-90 7 165 -166 106 30 184 -170 176 -122 396 -139 977 2879 23 MP stroke
-gs 926 692 2548 2239 MR c np
- 960 2862 mt  994 2896 L
- 994 2862 mt  960 2896 L
-1356 2723 mt 1390 2757 L
-1390 2723 mt 1356 2757 L
-1532 2601 mt 1566 2635 L
-1566 2601 mt 1532 2635 L
-1716 2431 mt 1750 2465 L
-1750 2431 mt 1716 2465 L
-1822 2461 mt 1856 2495 L
-1856 2461 mt 1822 2495 L
-1987 2295 mt 2021 2329 L
-2021 2295 mt 1987 2329 L
-2077 2302 mt 2111 2336 L
-2111 2302 mt 2077 2336 L
-2191 2117 mt 2225 2151 L
-2225 2117 mt 2191 2151 L
-2277 2125 mt 2311 2159 L
-2311 2125 mt 2277 2159 L
-2374 1939 mt 2408 1973 L
-2408 1939 mt 2374 1973 L
-2447 1945 mt 2481 1979 L
-2481 1945 mt 2447 1979 L
-2517 1762 mt 2551 1796 L
-2551 1762 mt 2517 1796 L
-2591 1763 mt 2625 1797 L
-2625 1763 mt 2591 1797 L
-2646 1764 mt 2680 1798 L
-2680 1764 mt 2646 1798 L
-2725 1616 mt 2759 1650 L
-2759 1616 mt 2725 1650 L
-2787 1641 mt 2821 1675 L
-2821 1641 mt 2787 1675 L
-2865 1559 mt 2899 1593 L
-2899 1559 mt 2865 1593 L
-2934 1474 mt 2968 1508 L
-2968 1474 mt 2934 1508 L
-3019 1312 mt 3053 1346 L
-3053 1312 mt 3019 1346 L
-3113 1334 mt 3147 1368 L
-3147 1334 mt 3113 1368 L
-3202 1159 mt 3236 1193 L
-3236 1159 mt 3202 1193 L
-3302  984 mt 3336 1018 L
-3336  984 mt 3302 1018 L
-3405  726 mt 3439  760 L
-3439  726 mt 3405  760 L
+132 -175 119 -175 126 22 113 -162 92 -85 105 -82 82 25 106 -148 
+73 1 99 1 92 -183 97 6 131 -186 114 8 152 -185 120 7 
+219 -166 142 30 245 -170 235 -122 528 -139 1095 2879 22 MP stroke
+gs 1044 950 3225 1981 MR c np
+1078 2862 mt 1112 2896 L
+1112 2862 mt 1078 2896 L
+1606 2723 mt 1640 2757 L
+1640 2723 mt 1606 2757 L
+1841 2601 mt 1875 2635 L
+1875 2601 mt 1841 2635 L
+2086 2431 mt 2120 2465 L
+2120 2431 mt 2086 2465 L
+2228 2461 mt 2262 2495 L
+2262 2461 mt 2228 2495 L
+2447 2295 mt 2481 2329 L
+2481 2295 mt 2447 2329 L
+2567 2302 mt 2601 2336 L
+2601 2302 mt 2567 2336 L
+2719 2117 mt 2753 2151 L
+2753 2117 mt 2719 2151 L
+2833 2125 mt 2867 2159 L
+2867 2125 mt 2833 2159 L
+2964 1939 mt 2998 1973 L
+2998 1939 mt 2964 1973 L
+3061 1945 mt 3095 1979 L
+3095 1945 mt 3061 1979 L
+3153 1762 mt 3187 1796 L
+3187 1762 mt 3153 1796 L
+3252 1763 mt 3286 1797 L
+3286 1763 mt 3252 1797 L
+3325 1764 mt 3359 1798 L
+3359 1764 mt 3325 1798 L
+3431 1616 mt 3465 1650 L
+3465 1616 mt 3431 1650 L
+3513 1641 mt 3547 1675 L
+3547 1641 mt 3513 1675 L
+3618 1559 mt 3652 1593 L
+3652 1559 mt 3618 1593 L
+3710 1474 mt 3744 1508 L
+3744 1474 mt 3710 1508 L
+3823 1312 mt 3857 1346 L
+3857 1312 mt 3823 1346 L
+3949 1334 mt 3983 1368 L
+3983 1334 mt 3949 1368 L
+4068 1159 mt 4102 1193 L
+4102 1159 mt 4068 1193 L
+4200  984 mt 4234 1018 L
+4234  984 mt 4200 1018 L
 gr
 
 DA
 c2
-0 -2331 3177 2925 2 MP stroke
-0 -2330 3177 2925 2 MP stroke
-0 -2206 3177 2925 2 MP stroke
+0 -2331 4029 2925 2 MP stroke
+0 -2330 4029 2925 2 MP stroke
+0 -1948 4029 2925 2 MP stroke
 gr
 
 c2
diff --git a/doc/fig/132t05n05_3DFichCube_error.eps b/doc/fig/132t05n05_3DFichCube_error.eps
index 8905165..1098ff1 100644
--- a/doc/fig/132t05n05_3DFichCube_error.eps
+++ b/doc/fig/132t05n05_3DFichCube_error.eps
@@ -1,7 +1,7 @@
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+%%Creator: MATLAB, The MathWorks, Inc. Version 8.1.0.604 (R2013a). Operating System: Linux 3.5.0-27-generic #46-Ubuntu SMP Mon Mar 25 19:58:17 UTC 2013 x86_64.
 %%Title: ../doc/fig/132t05n05_3DFichCube_error.eps
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+%%CreationDate: 04/11/2013  10:22:35
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@@ -212,112 +212,82 @@ SO
 
  655 3281 mt 
 (1) s
- 903 3206 mt  903 3187 L
- 903  270 mt  903  288 L
-1067 3206 mt 1067 3187 L
-1067  270 mt 1067  288 L
-1183 3206 mt 1183 3187 L
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-1463 3206 mt 1463 3187 L
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-1511 3206 mt 1511 3187 L
-1511  270 mt 1511  288 L
-1554 3206 mt 1554 3187 L
-1554  270 mt 1554  288 L
-1554 3206 mt 1554 3168 L
-1554  270 mt 1554  307 L
+ 997 3206 mt  997 3187 L
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-1585 3281 mt 
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-1833 3206 mt 1833 3187 L
-1833  270 mt 1833  288 L
-1997 3206 mt 1997 3187 L
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-2204 3206 mt 2204 3187 L
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-2277 3206 mt 2277 3187 L
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-2339 3206 mt 2339 3187 L
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-2515 3281 mt 
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-2763 3206 mt 2763 3187 L
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-3043 3206 mt 3043 3187 L
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-3134 3206 mt 3134 3187 L
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-3207 3206 mt 3207 3187 L
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-3353 3332 mt 
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-3445 3281 mt 
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-3693 3206 mt 3693 3187 L
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 4344 3206 mt 4344 3187 L
 4344  270 mt 4344  288 L
 4344 3206 mt 4344 3168 L
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 4375 3281 mt 
-(5) s
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  624 3206 mt  642 3206 L
 4344 3206 mt 4325 3206 L
  624 3206 mt  661 3206 L
@@ -473,501 +443,483 @@ SO
 gs 624 270 3721 2937 MR c np
 /c8 { 0.000000 0.300000 0.300000 sr} bdef
 c8
-103 287 100 -945 89 -21 94 63 85 65 69 63 78 63 62 60 
-79 57 55 50 74 47 70 50 73 61 97 64 86 59 114 65 
-90 58 165 58 106 53 184 58 176 61 396 55 977 969 23 MP stroke
-gs 926 918 2548 1213 MR c np
-  25   25  977  969 FO
-  25   25 1373 1024 FO
-  25   25 1549 1085 FO
-  25   25 1733 1143 FO
-  25   25 1839 1196 FO
-  25   25 2004 1254 FO
-  25   25 2094 1312 FO
-  25   25 2208 1377 FO
-  25   25 2294 1436 FO
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-  25   25 2882 1888 FO
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-  25   25 3036 2016 FO
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-  25   25 3422 1400 FO
+132 -945 119 -21 126 63 113 65 92 63 105 63 82 60 106 57 
+73 50 99 47 92 50 97 61 131 64 114 59 152 65 120 58 
+219 58 142 53 245 58 235 61 528 55 1095 969 22 MP stroke
+gs 1044 918 3225 1213 MR c np
+  25   25 1095  969 FO
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+  25   25 3727 1951 FO
+  25   25 3840 2016 FO
+  25   25 3966 2079 FO
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+  25   25 4217 1113 FO
 gr
 
-103 42 100 101 89 51 94 58 85 60 69 49 78 54 62 53 
-79 57 55 54 74 52 70 42 73 63 97 57 86 59 114 58 
-90 56 165 56 106 45 184 60 176 56 396 97 977 1290 23 MP stroke
-gs 926 1239 2548 1383 MR c np
+132 101 119 51 126 58 113 60 92 49 105 54 82 53 106 57 
+73 54 99 52 92 42 97 63 131 57 114 59 152 58 120 56 
+219 56 142 45 245 60 235 56 528 97 1095 1290 22 MP stroke
+gs 1044 1239 3225 1341 MR c np
 0 j
-29 50 -58 0 29 -50 977 1323 4 MP
-DP
-29 50 -58 0 29 -50 1373 1420 4 MP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
-29 50 -58 0 29 -50 2464 1930 4 MP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
-29 50 -58 0 29 -50 2882 2242 4 MP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
-29 50 -58 0 29 -50 3422 2603 4 MP
+29 50 -58 0 29 -50 4217 2561 4 MP
 DP
 gr
 
-103 44 100 49 89 46 94 55 85 59 69 53 78 56 62 58 
-79 63 55 61 74 59 70 54 73 57 97 56 86 57 114 58 
-90 57 165 58 106 52 184 57 176 57 396 84 977 1195 23 MP stroke
-gs 926 1144 2548 1353 MR c np
- 960 1178 mt  994 1212 L
- 994 1178 mt  960 1212 L
-1356 1262 mt 1390 1296 L
-1390 1262 mt 1356 1296 L
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-1856 1428 mt 1822 1462 L
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-2191 1601 mt 2225 1635 L
-2225 1601 mt 2191 1635 L
-2277 1658 mt 2311 1692 L
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-2374 1714 mt 2408 1748 L
-2408 1714 mt 2374 1748 L
-2447 1771 mt 2481 1805 L
-2481 1771 mt 2447 1805 L
-2517 1825 mt 2551 1859 L
-2551 1825 mt 2517 1859 L
-2591 1884 mt 2625 1918 L
-2625 1884 mt 2591 1918 L
-2646 1945 mt 2680 1979 L
-2680 1945 mt 2646 1979 L
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-2759 2008 mt 2725 2042 L
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-2821 2066 mt 2787 2100 L
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-2934 2175 mt 2968 2209 L
-2968 2175 mt 2934 2209 L
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-3113 2289 mt 3147 2323 L
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-3202 2335 mt 3236 2369 L
-3236 2335 mt 3202 2369 L
-3302 2384 mt 3336 2418 L
-3336 2384 mt 3302 2418 L
-3405 2428 mt 3439 2462 L
-3439 2428 mt 3405 2462 L
+132 49 119 46 126 55 113 59 92 53 105 56 82 58 106 63 
+73 61 99 59 92 54 97 57 131 56 114 57 152 58 120 57 
+219 58 142 52 245 57 235 57 528 84 1095 1195 22 MP stroke
+gs 1044 1144 3225 1309 MR c np
+1078 1178 mt 1112 1212 L
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 gr
 
 /c9 { 0.000000 0.600000 0.600000 sr} bdef
 c9
-103 283 100 -944 89 -21 94 63 85 65 69 63 78 63 62 60 
-79 57 55 50 74 47 70 50 73 61 97 64 86 59 114 65 
-90 58 165 58 106 53 184 58 176 61 396 55 977 969 23 MP stroke
-gs 926 918 2548 1213 MR c np
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 16 W
-977 969 PD
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 16 W
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 16 W
-1549 1085 PD
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 16 W
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 16 W
-1839 1196 PD
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
-3319 1114 PD
-16 W
-3422 1397 PD
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 gr
 
-103 42 100 101 89 51 94 58 85 60 69 49 78 54 62 53 
-79 57 55 54 74 52 70 42 73 63 97 57 86 59 114 58 
-90 56 165 56 106 45 184 60 176 56 396 97 977 1290 23 MP stroke
-gs 926 1239 2548 1383 MR c np
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 0 j
--29 50 -29 -50 58 0 948 1307 4 MP
-DP
--29 50 -29 -50 58 0 1344 1404 4 MP
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 DP
--29 50 -29 -50 58 0 1520 1460 4 MP
+-29 50 -29 -50 58 0 1594 1404 4 MP
 DP
--29 50 -29 -50 58 0 1704 1520 4 MP
+-29 50 -29 -50 58 0 1829 1460 4 MP
 DP
--29 50 -29 -50 58 0 1810 1565 4 MP
+-29 50 -29 -50 58 0 2074 1520 4 MP
 DP
--29 50 -29 -50 58 0 1975 1621 4 MP
+-29 50 -29 -50 58 0 2216 1565 4 MP
 DP
--29 50 -29 -50 58 0 2065 1677 4 MP
+-29 50 -29 -50 58 0 2435 1621 4 MP
 DP
--29 50 -29 -50 58 0 2179 1735 4 MP
+-29 50 -29 -50 58 0 2555 1677 4 MP
 DP
--29 50 -29 -50 58 0 2265 1794 4 MP
+-29 50 -29 -50 58 0 2707 1735 4 MP
 DP
--29 50 -29 -50 58 0 2362 1851 4 MP
+-29 50 -29 -50 58 0 2821 1794 4 MP
 DP
--29 50 -29 -50 58 0 2435 1914 4 MP
+-29 50 -29 -50 58 0 2952 1851 4 MP
 DP
--29 50 -29 -50 58 0 2505 1956 4 MP
+-29 50 -29 -50 58 0 3049 1914 4 MP
 DP
--29 50 -29 -50 58 0 2579 2008 4 MP
+-29 50 -29 -50 58 0 3141 1956 4 MP
 DP
--29 50 -29 -50 58 0 2634 2062 4 MP
+-29 50 -29 -50 58 0 3240 2008 4 MP
 DP
--29 50 -29 -50 58 0 2713 2119 4 MP
+-29 50 -29 -50 58 0 3313 2062 4 MP
 DP
--29 50 -29 -50 58 0 2775 2172 4 MP
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 DP
--29 50 -29 -50 58 0 2853 2226 4 MP
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 DP
--29 50 -29 -50 58 0 2922 2275 4 MP
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 DP
--29 50 -29 -50 58 0 3007 2335 4 MP
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 DP
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 DP
--29 50 -29 -50 58 0 3190 2444 4 MP
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 DP
--29 50 -29 -50 58 0 3290 2545 4 MP
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 DP
--29 50 -29 -50 58 0 3393 2587 4 MP
+-29 50 -29 -50 58 0 4188 2545 4 MP
 DP
 gr
 
-103 44 100 49 89 46 94 55 85 59 69 53 78 56 62 58 
-79 63 55 61 74 59 70 54 73 57 97 56 86 57 114 58 
-90 57 165 58 106 52 184 57 176 57 396 84 977 1195 23 MP stroke
-gs 926 1144 2548 1353 MR c np
- 952 1195 mt 1002 1195 L
- 977 1170 mt  977 1220 L
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-2183 1618 mt 2233 1618 L
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-2269 1675 mt 2319 1675 L
-2294 1650 mt 2294 1700 L
-2366 1731 mt 2416 1731 L
-2391 1706 mt 2391 1756 L
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-2779 2083 mt 2829 2083 L
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-2951 2167 mt 2951 2217 L
-3011 2251 mt 3061 2251 L
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-3105 2306 mt 3155 2306 L
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-3219 2327 mt 3219 2377 L
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+132 49 119 46 126 55 113 59 92 53 105 56 82 58 106 63 
+73 61 99 59 92 54 97 57 131 56 114 57 152 58 120 57 
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+gs 1044 1144 3225 1309 MR c np
+1070 1195 mt 1120 1195 L
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 gr
 
 /c10 { 0.600000 0.000000 0.600000 sr} bdef
 c10
-103 25 100 71 89 71 94 71 85 66 69 63 78 63 62 60 
-79 57 55 50 74 47 70 50 73 61 97 64 86 59 114 65 
-90 58 165 58 106 53 184 58 176 61 396 55 977 969 23 MP stroke
-gs 926 918 2548 1389 MR c np
+132 71 119 71 126 71 113 66 92 63 105 63 82 60 106 57 
+73 50 99 47 92 50 97 61 131 64 114 59 152 65 120 58 
+219 58 142 53 245 58 235 61 528 55 1095 969 22 MP stroke
+gs 1044 918 3225 1364 MR c np
 0 j
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 953 961 11 MP
+6 -17 18 0 1071 961 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 1349 1016 11 MP
+6 -17 18 0 1599 1016 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 1525 1077 11 MP
+6 -17 18 0 1834 1077 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 1709 1135 11 MP
+6 -17 18 0 2079 1135 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 1815 1188 11 MP
+6 -17 18 0 2221 1188 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 1980 1246 11 MP
+6 -17 18 0 2440 1246 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2070 1304 11 MP
+6 -17 18 0 2560 1304 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2184 1369 11 MP
+6 -17 18 0 2712 1369 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2270 1428 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2367 1492 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2440 1553 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2510 1603 11 MP
+6 -17 18 0 3146 1603 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2584 1650 11 MP
+6 -17 18 0 3245 1650 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2639 1700 11 MP
+6 -17 18 0 3318 1700 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2718 1757 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2780 1817 11 MP
+6 -17 18 0 3506 1817 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2858 1880 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2927 1943 11 MP
+6 -17 18 0 3703 1943 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3012 2009 11 MP
+6 -17 18 0 3816 2009 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3106 2080 11 MP
+6 -17 18 0 3942 2080 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3195 2151 11 MP
+6 -17 18 0 4061 2151 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3295 2222 11 MP
-DP
--14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3398 2247 11 MP
+6 -17 18 0 4193 2222 11 MP
 DP
 gr
 
-103 59 100 62 89 51 94 58 85 60 69 49 78 54 62 53 
-79 57 55 54 74 52 70 42 73 63 97 57 86 59 114 58 
-90 56 165 56 106 45 184 60 176 56 396 97 977 1290 23 MP stroke
-gs 926 1239 2548 1361 MR c np
+132 62 119 51 126 58 113 60 92 49 105 54 82 53 106 57 
+73 54 99 52 92 42 97 63 131 57 114 59 152 58 120 56 
+219 56 142 45 245 60 235 56 528 97 1095 1290 22 MP stroke
+gs 1044 1239 3225 1302 MR c np
 0 j
-0 -40 -40 0 0 40 40 0 957 1270 5 MP
+0 -40 -40 0 0 40 40 0 1075 1270 5 MP
 DP
-0 -40 -40 0 0 40 40 0 1353 1367 5 MP
+0 -40 -40 0 0 40 40 0 1603 1367 5 MP
 DP
-0 -40 -40 0 0 40 40 0 1529 1423 5 MP
+0 -40 -40 0 0 40 40 0 1838 1423 5 MP
 DP
-0 -40 -40 0 0 40 40 0 1713 1483 5 MP
+0 -40 -40 0 0 40 40 0 2083 1483 5 MP
 DP
-0 -40 -40 0 0 40 40 0 1819 1528 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 1984 1584 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2074 1640 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2188 1698 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2274 1757 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2371 1814 5 MP
+0 -40 -40 0 0 40 40 0 2961 1814 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2444 1877 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2514 1919 5 MP
+0 -40 -40 0 0 40 40 0 3150 1919 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2588 1971 5 MP
+0 -40 -40 0 0 40 40 0 3249 1971 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2643 2025 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2722 2082 5 MP
+0 -40 -40 0 0 40 40 0 3428 2082 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2784 2135 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2862 2189 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2931 2238 5 MP
+0 -40 -40 0 0 40 40 0 3707 2238 5 MP
 DP
-0 -40 -40 0 0 40 40 0 3016 2298 5 MP
+0 -40 -40 0 0 40 40 0 3820 2298 5 MP
 DP
-0 -40 -40 0 0 40 40 0 3110 2356 5 MP
+0 -40 -40 0 0 40 40 0 3946 2356 5 MP
 DP
-0 -40 -40 0 0 40 40 0 3199 2407 5 MP
+0 -40 -40 0 0 40 40 0 4065 2407 5 MP
 DP
-0 -40 -40 0 0 40 40 0 3299 2469 5 MP
-DP
-0 -40 -40 0 0 40 40 0 3402 2528 5 MP
+0 -40 -40 0 0 40 40 0 4197 2469 5 MP
 DP
 gr
 
-103 43 100 49 89 46 94 55 85 59 69 53 78 56 62 58 
-79 63 55 61 74 59 70 54 73 57 97 56 86 57 114 58 
-90 57 165 58 106 52 184 57 176 57 396 84 977 1195 23 MP stroke
-gs 926 1144 2548 1352 MR c np
+132 49 119 46 126 55 113 59 92 53 105 56 82 58 106 63 
+73 61 99 59 92 54 97 57 131 56 114 57 152 58 120 57 
+219 58 142 52 245 57 235 57 528 84 1095 1195 22 MP stroke
+gs 1044 1144 3225 1309 MR c np
 0 j
-25 33 -25 33 -25 -33 25 -33 977 1228 5 MP
-DP
-25 33 -25 33 -25 -33 25 -33 1373 1312 5 MP
+25 33 -25 33 -25 -33 25 -33 1095 1228 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 1549 1369 5 MP
+25 33 -25 33 -25 -33 25 -33 1623 1312 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 1733 1426 5 MP
+25 33 -25 33 -25 -33 25 -33 1858 1369 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 1839 1478 5 MP
+25 33 -25 33 -25 -33 25 -33 2103 1426 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2004 1536 5 MP
+25 33 -25 33 -25 -33 25 -33 2245 1478 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2094 1593 5 MP
+25 33 -25 33 -25 -33 25 -33 2464 1536 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2208 1651 5 MP
+25 33 -25 33 -25 -33 25 -33 2584 1593 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2294 1708 5 MP
+25 33 -25 33 -25 -33 25 -33 2736 1651 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2391 1764 5 MP
+25 33 -25 33 -25 -33 25 -33 2850 1708 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2464 1821 5 MP
+25 33 -25 33 -25 -33 25 -33 2981 1764 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2534 1875 5 MP
+25 33 -25 33 -25 -33 25 -33 3078 1821 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2608 1934 5 MP
+25 33 -25 33 -25 -33 25 -33 3170 1875 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2663 1995 5 MP
+25 33 -25 33 -25 -33 25 -33 3269 1934 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2742 2058 5 MP
+25 33 -25 33 -25 -33 25 -33 3342 1995 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2804 2116 5 MP
+25 33 -25 33 -25 -33 25 -33 3448 2058 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2882 2172 5 MP
+25 33 -25 33 -25 -33 25 -33 3530 2116 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2951 2225 5 MP
+25 33 -25 33 -25 -33 25 -33 3635 2172 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3036 2284 5 MP
+25 33 -25 33 -25 -33 25 -33 3727 2225 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3130 2339 5 MP
+25 33 -25 33 -25 -33 25 -33 3840 2284 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3219 2385 5 MP
+25 33 -25 33 -25 -33 25 -33 3966 2339 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3319 2434 5 MP
+25 33 -25 33 -25 -33 25 -33 4085 2385 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3422 2477 5 MP
+25 33 -25 33 -25 -33 25 -33 4217 2434 5 MP
 DP
 gr
 
 DD
 /c11 { 0.900000 0.600000 0.000000 sr} bdef
 c11
-103 40 100 40 89 35 94 37 85 34 69 27 78 31 62 24 
-79 31 55 22 74 29 70 28 73 28 97 39 86 34 114 45 
-90 35 165 65 106 42 184 73 176 69 396 156 977 810 23 MP stroke
+132 40 119 35 126 37 113 34 92 27 105 31 82 24 106 31 
+73 22 99 29 92 28 97 28 131 39 114 34 152 45 120 35 
+219 65 142 42 245 73 235 69 528 156 1095 810 22 MP stroke
 DO
-103 20 100 20 89 18 94 18 85 17 69 14 78 15 62 12 
-79 16 55 11 74 14 70 14 73 14 97 20 86 17 114 22 
-90 18 165 32 106 21 184 37 176 34 396 78 977 907 23 MP stroke
+132 20 119 18 126 18 113 17 92 14 105 15 82 12 106 16 
+73 11 99 14 92 14 97 14 131 20 114 17 152 22 120 18 
+219 32 142 21 245 37 235 34 528 78 1095 907 22 MP stroke
 DA
-103 62 100 58 89 53 94 56 85 50 69 41 78 46 62 37 
-79 47 55 32 74 44 70 41 73 44 97 57 86 51 114 68 
-90 53 165 97 106 63 184 109 176 104 396 235 977 1542 23 MP stroke
+132 58 119 53 126 56 113 50 92 41 105 46 82 37 106 47 
+73 32 99 44 92 41 97 44 131 57 114 51 152 68 120 53 
+219 97 142 63 245 109 235 104 528 235 1095 1542 22 MP stroke
 c2
-0 -1848 3177 2733 2 MP stroke
-0 -1848 3177 2733 2 MP stroke
-0 -1826 3177 2711 2 MP stroke
+0 -1805 4029 2690 2 MP stroke
+0 -1805 4029 2690 2 MP stroke
+0 -1767 4029 2652 2 MP stroke
 gr
 
 c2
diff --git a/doc/fig/132t05n05_3DFichCube_hminmax.eps b/doc/fig/132t05n05_3DFichCube_hminmax.eps
index 241a1bb..cf81d95 100644
--- a/doc/fig/132t05n05_3DFichCube_hminmax.eps
+++ b/doc/fig/132t05n05_3DFichCube_hminmax.eps
@@ -1,7 +1,7 @@
 %!PS-Adobe-2.0 EPSF-1.2
-%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64.
+%%Creator: MATLAB, The MathWorks, Inc. Version 8.1.0.604 (R2013a). Operating System: Linux 3.5.0-27-generic #46-Ubuntu SMP Mon Mar 25 19:58:17 UTC 2013 x86_64.
 %%Title: ../doc/fig/132t05n05_3DFichCube_hminmax.eps
-%%CreationDate: 04/08/2013  13:19:06
+%%CreationDate: 04/11/2013  10:22:36
 %%DocumentNeededFonts: Helvetica
 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
@@ -212,112 +212,82 @@ SO
 
  655 3281 mt 
 (1) s
- 903 3206 mt  903 3187 L
- 903  270 mt  903  288 L
-1067 3206 mt 1067 3187 L
-1067  270 mt 1067  288 L
-1183 3206 mt 1183 3187 L
-1183  270 mt 1183  288 L
-1274 3206 mt 1274 3187 L
-1274  270 mt 1274  288 L
-1347 3206 mt 1347 3187 L
-1347  270 mt 1347  288 L
-1409 3206 mt 1409 3187 L
-1409  270 mt 1409  288 L
-1463 3206 mt 1463 3187 L
-1463  270 mt 1463  288 L
-1511 3206 mt 1511 3187 L
-1511  270 mt 1511  288 L
-1554 3206 mt 1554 3187 L
-1554  270 mt 1554  288 L
-1554 3206 mt 1554 3168 L
-1554  270 mt 1554  307 L
+ 997 3206 mt  997 3187 L
+ 997  270 mt  997  288 L
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 gs 624 270 3721 2937 MR c np
 /c8 { 0.000000 0.300000 0.300000 sr} bdef
 c8
-103 147 100 148 89 147 94 147 85 0 69 147 78 -147 62 147 
-79 0 55 148 74 0 70 147 73 147 97 148 86 0 114 0 
-90 147 165 147 106 0 184 148 176 147 396 147 977 759 23 MP stroke
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-  25   25  977  759 FO
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-  25   25 2094 1495 FO
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 gr
 
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-DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
-29 50 -58 0 29 -50 3422 2559 4 MP
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 DP
 gr
 
-103 0 100 148 89 147 94 147 85 0 69 147 78 0 62 148 
-79 147 55 0 74 0 70 0 73 147 97 148 86 0 114 0 
-90 147 165 147 106 148 184 147 176 0 396 147 977 759 23 MP stroke
-gs 926 708 2548 2018 MR c np
- 960  742 mt  994  776 L
- 994  742 mt  960  776 L
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 gr
 
 /c9 { 0.000000 0.600000 0.600000 sr} bdef
 c9
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-79 0 55 148 74 0 70 147 73 147 97 148 86 0 114 0 
-90 147 165 147 106 0 184 148 176 147 396 147 977 759 23 MP stroke
-gs 926 708 2548 2165 MR c np
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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 16 W
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-16 W
-3422 2821 PD
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 gr
 
-103 147 100 147 89 147 94 0 85 148 69 147 78 -147 62 0 
-79 147 55 0 74 0 70 147 73 0 97 148 86 0 114 147 
-90 0 165 147 106 0 184 148 176 147 396 147 977 759 23 MP stroke
-gs 926 708 2548 1870 MR c np
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 0 j
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-DP
--29 50 -29 -50 58 0 1344 923 4 MP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
--29 50 -29 -50 58 0 2265 1512 4 MP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
--29 50 -29 -50 58 0 3393 2543 4 MP
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 DP
 gr
 
-103 0 100 148 89 147 94 147 85 0 69 147 78 0 62 148 
-79 147 55 0 74 0 70 0 73 147 97 148 86 0 114 0 
-90 147 165 147 106 148 184 147 176 0 396 147 977 759 23 MP stroke
-gs 926 708 2548 2018 MR c np
- 952  759 mt 1002  759 L
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 gr
 
 /c10 { 0.600000 0.000000 0.600000 sr} bdef
 c10
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-79 0 55 148 74 0 70 147 73 147 97 148 86 0 114 0 
-90 147 165 147 106 0 184 148 176 147 396 147 977 759 23 MP stroke
-gs 926 708 2548 2165 MR c np
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 0 j
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-6 -17 18 0 953 751 11 MP
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 DP
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-6 -17 18 0 1349 898 11 MP
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 DP
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-6 -17 18 0 1525 1045 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 1709 1193 11 MP
+6 -17 18 0 2079 1193 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 1815 1193 11 MP
+6 -17 18 0 2221 1193 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 1980 1340 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2070 1487 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2184 1487 11 MP
+6 -17 18 0 2712 1487 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2270 1487 11 MP
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 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2367 1635 11 MP
+6 -17 18 0 2957 1635 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2440 1782 11 MP
+6 -17 18 0 3054 1782 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2510 1929 11 MP
+6 -17 18 0 3146 1929 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2584 1929 11 MP
+6 -17 18 0 3245 1929 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2639 2077 11 MP
+6 -17 18 0 3318 2077 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2718 2077 11 MP
+6 -17 18 0 3424 2077 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2780 2224 11 MP
+6 -17 18 0 3506 2224 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2858 2077 11 MP
+6 -17 18 0 3611 2077 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 2927 2224 11 MP
+6 -17 18 0 3703 2224 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3012 2224 11 MP
+6 -17 18 0 3816 2224 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3106 2371 11 MP
+6 -17 18 0 3942 2371 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3195 2518 11 MP
+6 -17 18 0 4061 2518 11 MP
 DP
 -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3295 2666 11 MP
-DP
--14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 
-6 -17 18 0 3398 2813 11 MP
+6 -17 18 0 4193 2666 11 MP
 DP
 gr
 
-103 147 100 147 89 147 94 0 85 148 69 147 78 -147 62 0 
-79 147 55 0 74 0 70 147 73 0 97 148 86 0 114 147 
-90 0 165 147 106 0 184 148 176 147 396 147 977 759 23 MP stroke
-gs 926 708 2548 1870 MR c np
+132 147 119 147 126 0 113 148 92 147 105 -147 82 0 106 147 
+73 0 99 0 92 147 97 0 131 148 114 0 152 147 120 0 
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+gs 1044 708 3225 1723 MR c np
 0 j
-0 -40 -40 0 0 40 40 0 957 739 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 1353 886 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 1529 1033 5 MP
+0 -40 -40 0 0 40 40 0 1838 1033 5 MP
 DP
-0 -40 -40 0 0 40 40 0 1713 1181 5 MP
+0 -40 -40 0 0 40 40 0 2083 1181 5 MP
 DP
-0 -40 -40 0 0 40 40 0 1819 1181 5 MP
+0 -40 -40 0 0 40 40 0 2225 1181 5 MP
 DP
-0 -40 -40 0 0 40 40 0 1984 1328 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2074 1328 5 MP
+0 -40 -40 0 0 40 40 0 2564 1328 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2188 1475 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2274 1475 5 MP
+0 -40 -40 0 0 40 40 0 2830 1475 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2371 1623 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2444 1623 5 MP
+0 -40 -40 0 0 40 40 0 3058 1623 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2514 1770 5 MP
+0 -40 -40 0 0 40 40 0 3150 1770 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2588 1770 5 MP
+0 -40 -40 0 0 40 40 0 3249 1770 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2643 1770 5 MP
+0 -40 -40 0 0 40 40 0 3322 1770 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2722 1917 5 MP
+0 -40 -40 0 0 40 40 0 3428 1917 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2784 1917 5 MP
+0 -40 -40 0 0 40 40 0 3510 1917 5 MP
 DP
-0 -40 -40 0 0 40 40 0 2862 1770 5 MP
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 DP
-0 -40 -40 0 0 40 40 0 2931 1917 5 MP
+0 -40 -40 0 0 40 40 0 3707 1917 5 MP
 DP
-0 -40 -40 0 0 40 40 0 3016 2065 5 MP
+0 -40 -40 0 0 40 40 0 3820 2065 5 MP
 DP
-0 -40 -40 0 0 40 40 0 3110 2065 5 MP
+0 -40 -40 0 0 40 40 0 3946 2065 5 MP
 DP
-0 -40 -40 0 0 40 40 0 3199 2212 5 MP
+0 -40 -40 0 0 40 40 0 4065 2212 5 MP
 DP
-0 -40 -40 0 0 40 40 0 3299 2359 5 MP
-DP
-0 -40 -40 0 0 40 40 0 3402 2506 5 MP
+0 -40 -40 0 0 40 40 0 4197 2359 5 MP
 DP
 gr
 
-103 0 100 148 89 147 94 147 85 0 69 147 78 0 62 148 
-79 147 55 0 74 0 70 0 73 147 97 148 86 0 114 0 
-90 147 165 147 106 148 184 147 176 0 396 147 977 759 23 MP stroke
-gs 926 708 2548 2018 MR c np
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 0 j
-25 33 -25 33 -25 -33 25 -33 977 792 5 MP
-DP
-25 33 -25 33 -25 -33 25 -33 1373 939 5 MP
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 DP
-25 33 -25 33 -25 -33 25 -33 1549 939 5 MP
+25 33 -25 33 -25 -33 25 -33 1623 939 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 1733 1086 5 MP
+25 33 -25 33 -25 -33 25 -33 1858 939 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 1839 1234 5 MP
+25 33 -25 33 -25 -33 25 -33 2103 1086 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2004 1381 5 MP
+25 33 -25 33 -25 -33 25 -33 2245 1234 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2094 1528 5 MP
+25 33 -25 33 -25 -33 25 -33 2464 1381 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2208 1528 5 MP
+25 33 -25 33 -25 -33 25 -33 2584 1528 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2294 1528 5 MP
+25 33 -25 33 -25 -33 25 -33 2736 1528 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2391 1676 5 MP
+25 33 -25 33 -25 -33 25 -33 2850 1528 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2464 1823 5 MP
+25 33 -25 33 -25 -33 25 -33 2981 1676 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2534 1823 5 MP
+25 33 -25 33 -25 -33 25 -33 3078 1823 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2608 1823 5 MP
+25 33 -25 33 -25 -33 25 -33 3170 1823 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2663 1823 5 MP
+25 33 -25 33 -25 -33 25 -33 3269 1823 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2742 1970 5 MP
+25 33 -25 33 -25 -33 25 -33 3342 1823 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2804 2118 5 MP
+25 33 -25 33 -25 -33 25 -33 3448 1970 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2882 2118 5 MP
+25 33 -25 33 -25 -33 25 -33 3530 2118 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 2951 2265 5 MP
+25 33 -25 33 -25 -33 25 -33 3635 2118 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3036 2265 5 MP
+25 33 -25 33 -25 -33 25 -33 3727 2265 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3130 2412 5 MP
+25 33 -25 33 -25 -33 25 -33 3840 2265 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3219 2559 5 MP
+25 33 -25 33 -25 -33 25 -33 3966 2412 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3319 2707 5 MP
+25 33 -25 33 -25 -33 25 -33 4085 2559 5 MP
 DP
-25 33 -25 33 -25 -33 25 -33 3422 2707 5 MP
+25 33 -25 33 -25 -33 25 -33 4217 2707 5 MP
 DP
 gr
 
 DA
 c2
-0 -2227 3177 2930 2 MP stroke
-0 -2227 3177 2930 2 MP stroke
-0 -2227 3177 2930 2 MP stroke
+0 -2079 4029 2782 2 MP stroke
+0 -2079 4029 2782 2 MP stroke
+0 -2079 4029 2782 2 MP stroke
 gr
 
 c2
diff --git a/doc/fig/132t05n05_3DFichCube_time.eps b/doc/fig/132t05n05_3DFichCube_time.eps
index ff4e6d3..c4822fe 100644
--- a/doc/fig/132t05n05_3DFichCube_time.eps
+++ b/doc/fig/132t05n05_3DFichCube_time.eps
@@ -1,7 +1,7 @@
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+%%Creator: MATLAB, The MathWorks, Inc. Version 8.1.0.604 (R2013a). Operating System: Linux 3.5.0-27-generic #46-Ubuntu SMP Mon Mar 25 19:58:17 UTC 2013 x86_64.
 %%Title: ../doc/fig/132t05n05_3DFichCube_time.eps
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+%%CreationDate: 04/11/2013  10:22:37
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@@ -212,112 +212,82 @@ SO
 
  654 3281 mt 
 (1) s
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 4375 3281 mt 
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  623 3206 mt  642 3206 L
 4344 3206 mt 4325 3206 L
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@@ -563,142 +533,137 @@ SO
 gs 624 269 3721 2938 MR c np
 /c8 { 0.000000 0.300000 0.300000 sr} bdef
 c8
-103 -133 100 -127 89 -112 94 -110 85 -108 69 -87 78 -104 62 -77 
-79 -95 55 -72 74 -87 70 -85 73 -91 97 -141 86 -113 114 -132 
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-  25   25 2804 1114 FO
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 gr
 
 /c9 { 0.000000 0.600000 0.600000 sr} bdef
 c9
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-79 -98 55 -66 74 -90 70 -87 73 -92 97 -127 86 -122 114 -131 
-90 -101 165 -146 106 -79 184 -187 176 -128 396 -277 977 2915 23 MP stroke
-gs 926 281 2548 2686 MR c np
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+73 -66 99 -90 92 -87 97 -92 131 -127 114 -122 152 -131 120 -101 
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 0 j
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-DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 DP
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 /c10 { 0.600000 0.000000 0.600000 sr} bdef
 c10
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-79 -100 55 -66 74 -92 70 -90 73 -99 97 -127 86 -134 114 -160 
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-2447 1534 mt 2481 1568 L
-2481 1534 mt 2447 1568 L
-2517 1444 mt 2551 1478 L
-2551 1444 mt 2517 1478 L
-2591 1352 mt 2625 1386 L
-2625 1352 mt 2591 1386 L
-2646 1286 mt 2680 1320 L
-2680 1286 mt 2646 1320 L
-2725 1186 mt 2759 1220 L
-2759 1186 mt 2725 1220 L
-2787 1107 mt 2821 1141 L
-2821 1107 mt 2787 1141 L
-2865 1002 mt 2899 1036 L
-2899 1002 mt 2865 1036 L
-2934  916 mt 2968  950 L
-2968  916 mt 2934  950 L
-3019  818 mt 3053  852 L
-3053  818 mt 3019  852 L
-3113  696 mt 3147  730 L
-3147  696 mt 3113  730 L
-3202  582 mt 3236  616 L
-3236  582 mt 3202  616 L
-3302  454 mt 3336  488 L
-3336  454 mt 3302  488 L
-3405  317 mt 3439  351 L
-3439  317 mt 3405  351 L
+132 -128 119 -114 126 -122 113 -98 92 -86 105 -105 82 -79 106 -100 
+73 -66 99 -92 92 -90 97 -99 131 -127 114 -134 152 -160 120 -84 
+219 -119 142 -138 245 -124 235 -196 528 -237 1095 2969 22 MP stroke
+gs 1044 420 3225 2601 MR c np
+1078 2952 mt 1112 2986 L
+1112 2952 mt 1078 2986 L
+1606 2715 mt 1640 2749 L
+1640 2715 mt 1606 2749 L
+1841 2519 mt 1875 2553 L
+1875 2519 mt 1841 2553 L
+2086 2395 mt 2120 2429 L
+2120 2395 mt 2086 2429 L
+2228 2257 mt 2262 2291 L
+2262 2257 mt 2228 2291 L
+2447 2138 mt 2481 2172 L
+2481 2138 mt 2447 2172 L
+2567 2054 mt 2601 2088 L
+2601 2054 mt 2567 2088 L
+2719 1894 mt 2753 1928 L
+2753 1894 mt 2719 1928 L
+2833 1760 mt 2867 1794 L
+2867 1760 mt 2833 1794 L
+2964 1633 mt 2998 1667 L
+2998 1633 mt 2964 1667 L
+3061 1534 mt 3095 1568 L
+3095 1534 mt 3061 1568 L
+3153 1444 mt 3187 1478 L
+3187 1444 mt 3153 1478 L
+3252 1352 mt 3286 1386 L
+3286 1352 mt 3252 1386 L
+3325 1286 mt 3359 1320 L
+3359 1286 mt 3325 1320 L
+3431 1186 mt 3465 1220 L
+3465 1186 mt 3431 1220 L
+3513 1107 mt 3547 1141 L
+3547 1107 mt 3513 1141 L
+3618 1002 mt 3652 1036 L
+3652 1002 mt 3618 1036 L
+3710  916 mt 3744  950 L
+3744  916 mt 3710  950 L
+3823  818 mt 3857  852 L
+3857  818 mt 3823  852 L
+3949  696 mt 3983  730 L
+3983  696 mt 3949  730 L
+4068  582 mt 4102  616 L
+4102  582 mt 4068  616 L
+4200  454 mt 4234  488 L
+4234  454 mt 4200  488 L
 gr
 
 gr
diff --git a/src/export_exmpl.m b/src/export_exmpl.m
index 024ffa5..de53ce4 100644
--- a/src/export_exmpl.m
+++ b/src/export_exmpl.m
@@ -90,7 +90,7 @@ A_plots({'meshSave/1t1n0_2DQuad_6',...
 
 %% Semianalytisch
 A_plots({'meshSave/132t05n05_2DQuad_30'},'../doc/fig/132t05n05_2DQuad')
-A_plots({'meshSave/132t05n05_3DFichCube_23'},'../doc/fig/132t05n05_3DFichCube')
+A_plots({'meshSave/132t05n05_3DFichCube_22'},'../doc/fig/132t05n05_3DFichCube')
 
 
 close all
\ No newline at end of file