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authorNicolas Tobler <nicolas.tobler@ost.ch>2022-08-23 22:33:40 +0200
committerNicolas Tobler <nicolas.tobler@ost.ch>2022-08-23 22:33:40 +0200
commit6ac6dd132a11abd9ec4955cd2e35e22408c982e6 (patch)
tree902445b16ec2f2b9df3b3659b6139926469c267f /buch/papers/parzyl/images
parentAdded Berechnung der rationalen Funktion (diff)
parentMerge pull request #63 from NaoPross/master (diff)
downloadSeminarSpezielleFunktionen-6ac6dd132a11abd9ec4955cd2e35e22408c982e6.tar.gz
SeminarSpezielleFunktionen-6ac6dd132a11abd9ec4955cd2e35e22408c982e6.zip
Merge branch 'master' of https://github.com/AndreasFMueller/SeminarSpezielleFunktionen
Diffstat (limited to '')
-rw-r--r--buch/papers/parzyl/images/Makefile16
-rw-r--r--buch/papers/parzyl/images/common.inc64
-rw-r--r--buch/papers/parzyl/images/halfplane.jpgbin0 -> 200681 bytes
-rw-r--r--buch/papers/parzyl/images/halfplane.pdfbin0 -> 208606 bytes
-rw-r--r--buch/papers/parzyl/images/halfplane.pngbin0 -> 473623 bytes
-rw-r--r--buch/papers/parzyl/images/halfplane.pov201
-rw-r--r--buch/papers/parzyl/images/halfplane.tex41
7 files changed, 322 insertions, 0 deletions
diff --git a/buch/papers/parzyl/images/Makefile b/buch/papers/parzyl/images/Makefile
new file mode 100644
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--- /dev/null
+++ b/buch/papers/parzyl/images/Makefile
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+#
+# Makefile to build 3d images
+#
+# (c) 2022 Prof Dr Andreas Müller
+#
+
+all: halfplane.pdf
+
+halfplane.pdf: halfplane.tex halfplane.jpg
+ pdflatex halfplane.tex
+halfplane.png: halfplane.pov
+ povray +A0.1 -W1920 -H1080 -Ohalfplane.png halfplane.pov
+halfplane.jpg: halfplane.png Makefile
+ convert -extract 1280x1080+340+0 halfplane.png \
+ -density 300 -units PixelsPerInch halfplane.jpg
+
diff --git a/buch/papers/parzyl/images/common.inc b/buch/papers/parzyl/images/common.inc
new file mode 100644
index 0000000..28aed2b
--- /dev/null
+++ b/buch/papers/parzyl/images/common.inc
@@ -0,0 +1,64 @@
+//
+// common.inc -- some common useful tools for drawing 3d images
+//
+// (c) 2018 Prof Dr Andreas Müller, Hochschule Rapperswil
+//
+
+//
+// draw a right angle quarter circle at point <o> with legs <v1> and <v2> and
+// color <c>
+//
+#declare rechterwinkelradius = 0.5;
+#declare rechterwinkelthickness = 0.01;
+#macro rechterwinkel(o, v1, v2, c)
+intersection {
+ sphere { o, rechterwinkelradius }
+ #declare rnormale = vnormalize(vcross(v1, v2));
+ plane { rnormale, vdot(o, rnormale) + rechterwinkelthickness * rechterwinkelradius / 0.5 }
+ plane { -rnormale, -vdot(o, rnormale) + rechterwinkelthickness * rechterwinkelradius / 0.5 }
+ plane { -v1, -vdot(o, v1) }
+ plane { -v2, -vdot(o, v2) }
+ pigment {
+ color c
+ }
+}
+sphere { o + 0.45 * (vnormalize(v1) +vnormalize(v2)) * rechterwinkelradius,
+ 0.05 * rechterwinkelradius / 0.5
+ pigment {
+ color c
+ }
+}
+#end
+
+//
+// draw an arrow from <from> to <to> with thickness <arrowthickness> with
+// color <c>
+//
+#macro arrow(from, to, arrowthickness, c)
+ #declare arrowdirection = vnormalize(to - from);
+ #declare arrowlength = vlength(to - from);
+ union {
+ sphere {
+ from, 1.1 * arrowthickness
+ }
+ cylinder {
+ from,
+ from + (arrowlength - 5 * arrowthickness) * arrowdirection,
+ arrowthickness
+ }
+ cone {
+ from + (arrowlength - 5 * arrowthickness) * arrowdirection,
+ 2 * arrowthickness,
+ to,
+ 0
+ }
+ pigment {
+ color c
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+ }
+#end
+
diff --git a/buch/papers/parzyl/images/halfplane.jpg b/buch/papers/parzyl/images/halfplane.jpg
new file mode 100644
index 0000000..8cb5ae3
--- /dev/null
+++ b/buch/papers/parzyl/images/halfplane.jpg
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diff --git a/buch/papers/parzyl/images/halfplane.pdf b/buch/papers/parzyl/images/halfplane.pdf
new file mode 100644
index 0000000..7275810
--- /dev/null
+++ b/buch/papers/parzyl/images/halfplane.pdf
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diff --git a/buch/papers/parzyl/images/halfplane.png b/buch/papers/parzyl/images/halfplane.png
new file mode 100644
index 0000000..5beefa0
--- /dev/null
+++ b/buch/papers/parzyl/images/halfplane.png
Binary files differ
diff --git a/buch/papers/parzyl/images/halfplane.pov b/buch/papers/parzyl/images/halfplane.pov
new file mode 100644
index 0000000..419bb67
--- /dev/null
+++ b/buch/papers/parzyl/images/halfplane.pov
@@ -0,0 +1,201 @@
+//
+// 3dimage.pov
+//
+// (c) 2022 Prof Dr Andreas Müller
+//
+#version 3.7;
+#include "colors.inc"
+#include "skies.inc"
+#include "common.inc"
+
+global_settings {
+ assumed_gamma 1
+}
+
+#declare imagescale = 0.63;
+#declare ar = 0.02;
+
+#declare Cameracenter = <5,3,-4>;
+#declare Worldpoint = <0,-0.80, 0>;
+#declare Lightsource = < 7,10,-3>;
+#declare Lightdirection = vnormalize(Lightsource - Worldpoint);
+#declare Lightaxis1 = vnormalize(vcross(Lightdirection, <0,1,0>));
+#declare Lightaxis2 = vnormalize(vcross(Lightaxis1, Lightdirection));
+
+camera {
+ location Cameracenter
+ look_at Worldpoint
+ right 16/9 * x * imagescale
+ up y * imagescale
+}
+
+light_source {
+ Lightsource color White
+ area_light Lightaxis1 Lightaxis2, 10, 10
+ adaptive 1
+ jitter
+}
+
+sky_sphere {
+ pigment {
+ color White
+ }
+}
+
+arrow( <-2.1, 0, 0 >, < 2.2, 0, 0 >, ar, White)
+arrow( < 0, -1.1, 0 >, < 0, 1.3, 0 >, ar, White)
+arrow( < 0, 0, -2 >, < 0, 0, 2.2 >, ar, White)
+
+#declare planecolor = rgb<0.2,0.6,1.0>;
+#declare r = 0.01;
+
+#macro planebox()
+ box { <-2.1,-1.1,-2.1>, <0,1.1,2.1> }
+#end
+
+intersection {
+ plane { <0, 0, 1>, 0.001 }
+ plane { <0, 0, -1>, 0.001 }
+ planebox()
+ pigment {
+ color planecolor transmit 0.3
+ }
+ finish {
+ metallic
+ specular 0.95
+ }
+}
+
+#declare Xstep = 0.2;
+
+intersection {
+ union {
+ #declare X = 0;
+ #while (X > -2.5)
+ cylinder { <X,-3,0>, <X,+3,0>, r }
+ #declare X = X - Xstep;
+ #end
+
+ #declare Y = Xstep;
+ #while (Y < 2.5)
+ cylinder { <-3, Y, 0>, <0, Y, 0>, r }
+ cylinder { <-3, -Y, 0>, <0, -Y, 0>, r }
+ #declare Y = Y + Xstep;
+ #end
+ }
+ planebox()
+ pigment {
+ color planecolor
+ }
+ finish {
+ metallic
+ specular 0.95
+ }
+}
+
+#declare parammin = -4;
+#declare parammax = 4;
+#declare paramsteps = 100;
+#declare paramstep = (parammax - parammin) / paramsteps;
+
+#macro punkt(sigma, tau, Z)
+ <
+ 0.5 * (tau*tau - sigma*sigma)
+ Z,
+ sigma * tau,
+ >
+#end
+
+#macro sigmasurface(sigma, farbe)
+ #declare taumin1 = 2/sigma;
+ #declare taumin2 = sqrt(4+sigma*sigma);
+ #if (taumin1 > taumin2)
+ #declare taumin = -taumin2;
+ #else
+ #declare taumin = -taumin1;
+ #end
+
+ mesh {
+ #declare tau = taumin;
+ #declare taumax = -taumin;
+ #declare taustep = (taumax - taumin) / paramsteps;
+ #while (tau < taumax - taustep/2)
+ triangle {
+ punkt(sigma, tau, -1),
+ punkt(sigma, tau, 0),
+ punkt(sigma, tau + taustep, -1)
+ }
+ triangle {
+ punkt(sigma, tau + taustep, -1),
+ punkt(sigma, tau + taustep, 0),
+ punkt(sigma, tau, 0)
+ }
+ #declare tau = tau + taustep;
+ #end
+ pigment {
+ color farbe
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+ }
+
+ union {
+ #declare tau = taumin;
+ #declare taumax = -taumin;
+ #declare taustep = (taumax - taumin) / paramsteps;
+ #while (tau < taumax - taustep/2)
+ sphere { punkt(sigma, tau, 0), r }
+ cylinder {
+ punkt(sigma, tau, 0),
+ punkt(sigma, tau + taustep, 0),
+ r
+ }
+ #declare tau = tau + taustep;
+ #end
+ sphere { punkt(sigma, tau, 0), r }
+ pigment {
+ color farbe
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+
+ }
+#end
+
+#declare greensurfacecolor = rgb<0.6,1.0,0.6>;
+#declare redsurfacecolor = rgb<1.0,0.6,0.6>;
+
+sigmasurface(0.25, greensurfacecolor)
+sigmasurface(0.5, greensurfacecolor)
+sigmasurface(0.75, greensurfacecolor)
+sigmasurface(1, greensurfacecolor)
+sigmasurface(1.25, greensurfacecolor)
+sigmasurface(1.5, greensurfacecolor)
+sigmasurface(1.75, greensurfacecolor)
+sigmasurface(2, greensurfacecolor)
+
+union {
+ sigmasurface(0.25, redsurfacecolor)
+ sigmasurface(0.5, redsurfacecolor)
+ sigmasurface(0.75, redsurfacecolor)
+ sigmasurface(1.00, redsurfacecolor)
+ sigmasurface(1.25, redsurfacecolor)
+ sigmasurface(1.5, redsurfacecolor)
+ sigmasurface(1.75, redsurfacecolor)
+ sigmasurface(2, redsurfacecolor)
+ rotate <0, 180, 0>
+}
+
+box { <-2,-1,-2>, <2,-0.99,2>
+ pigment {
+ color rgb<1.0,0.8,0.6> transmit 0.8
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+}
diff --git a/buch/papers/parzyl/images/halfplane.tex b/buch/papers/parzyl/images/halfplane.tex
new file mode 100644
index 0000000..e470057
--- /dev/null
+++ b/buch/papers/parzyl/images/halfplane.tex
@@ -0,0 +1,41 @@
+%
+% halfplane.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{times}
+\usepackage{amsmath}
+\usepackage{txfonts}
+\usepackage[utf8]{inputenc}
+\usepackage{graphics}
+\usetikzlibrary{arrows,intersections,math}
+\usepackage{ifthen}
+\begin{document}
+
+\newboolean{showgrid}
+\setboolean{showgrid}{false}
+\def\breite{5}
+\def\hoehe{4}
+
+\begin{tikzpicture}[>=latex,thick]
+
+% Povray Bild
+\node at (0,0) {\includegraphics[width=10cm]{halfplane.jpg}};
+
+% Gitter
+\ifthenelse{\boolean{showgrid}}{
+\draw[step=0.1,line width=0.1pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw[step=0.5,line width=0.4pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw (-\breite,-\hoehe) grid (\breite, \hoehe);
+\fill (0,0) circle[radius=0.05];
+}{}
+
+\node at (0,3.7) {$z$};
+\node at (3.3,-0.3) {$x$};
+\node at (2.7,2.5) {$y$};
+
+\end{tikzpicture}
+
+\end{document}
+