From a90d54e578b7d309ba680d5fd5f6c8721b082096 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Thu, 6 May 2021 17:57:06 +0200 Subject: new slide --- vorlesungen/slides/7/images/Makefile | 12 +++++- vorlesungen/slides/7/images/interpolation.ini | 8 ++++ vorlesungen/slides/7/images/interpolation.m | 54 +++++++++++++++++++++++++++ vorlesungen/slides/7/images/interpolation.pov | 10 +++++ vorlesungen/slides/7/images/test.pov | 7 ++++ 5 files changed, 90 insertions(+), 1 deletion(-) create mode 100644 vorlesungen/slides/7/images/interpolation.ini create mode 100644 vorlesungen/slides/7/images/interpolation.m create mode 100644 vorlesungen/slides/7/images/interpolation.pov create mode 100644 vorlesungen/slides/7/images/test.pov (limited to 'vorlesungen/slides/7/images') diff --git a/vorlesungen/slides/7/images/Makefile b/vorlesungen/slides/7/images/Makefile index cc67c8a..6f99bc3 100644 --- a/vorlesungen/slides/7/images/Makefile +++ b/vorlesungen/slides/7/images/Makefile @@ -3,7 +3,7 @@ # # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule #  -all: rodriguez.jpg +all: rodriguez.jpg test.png rodriguez.png: rodriguez.pov povray +A0.1 -W1920 -H1080 -Orodriguez.png rodriguez.pov @@ -16,4 +16,14 @@ commutator: commutator.ini commutator.pov common.inc jpg: for f in c/c*.png; do convert $${f} c/`basename $${f} .png`.jpg; done +dreibein/timestamp: interpolation.m + octave interpolation.m + touch dreibein/timestamp +test.png: test.pov drehung.inc dreibein/d025.inc dreibein/timestamp + povray +A0.1 -W1080 -H1080 -Otest.png test.pov + +dreibein/d025.inc: dreibein/timestamp + +animation: + povray +A0.1 -W1080 -H1080 -Ointerpolation/i.png interpolation.ini diff --git a/vorlesungen/slides/7/images/interpolation.ini b/vorlesungen/slides/7/images/interpolation.ini new file mode 100644 index 0000000..f07c079 --- /dev/null +++ b/vorlesungen/slides/7/images/interpolation.ini @@ -0,0 +1,8 @@ +Input_File_Name=interpolation.pov +Initial_Frame=0 +Final_Frame=50 +Initial_Clock=0 +Final_Clock=50 +Cyclic_Animation=off +Pause_when_Done=off + diff --git a/vorlesungen/slides/7/images/interpolation.m b/vorlesungen/slides/7/images/interpolation.m new file mode 100644 index 0000000..31554e8 --- /dev/null +++ b/vorlesungen/slides/7/images/interpolation.m @@ -0,0 +1,54 @@ +# +# interpolation.m +# +# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +# +global N; +N = 50; +global A; +global B; + +A = (pi / 2) * [ + 0, 0, 0; + 0, 0, -1; + 0, 1, 0 +]; +g0 = expm(A) + +B = (pi / 2) * [ + 0, 0, 1; + 0, 0, 0; + -1, 0, 0 +]; +g1 = expm(B) + +function retval = g(t) + global A; + global B; + retval = expm((1-t)*A+t*B); +endfunction + +function dreibein(fn, M, funktion) + fprintf(fn, "%s(<%.4f,%.4f,%.4f>, <%.4f,%.4f,%.4f>, <%.4f,%.4f,%.4f>)\n", + funktion, + M(1,1), M(3,1), M(2,1), + M(1,2), M(3,2), M(2,2), + M(1,3), M(3,3), M(2,3)); +endfunction + +G = g1 * inverse(g0); +[V, lambda] = eig(G); +H = real(V(:,3)); + +D = logm(g1*inverse(g0)); + +for i = (0:N) + filename = sprintf("dreibein/d%03d.inc", i); + fn = fopen(filename, "w"); + t = i/N; + dreibein(fn, g(t), "quadrant"); + dreibein(fn, expm(t*D)*g0, "drehung"); + fprintf(fn, "achse(<%.4f,%.4f,%.4f>)\n", H(1,1), H(3,1), H(2,1)); + fclose(fn); +endfor + diff --git a/vorlesungen/slides/7/images/interpolation.pov b/vorlesungen/slides/7/images/interpolation.pov new file mode 100644 index 0000000..71e0257 --- /dev/null +++ b/vorlesungen/slides/7/images/interpolation.pov @@ -0,0 +1,10 @@ +// +// commutator.pov +// +// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +// +#include "drehung.inc" + +#declare filename = concat("dreibein/d", str(clock, -3, 0), ".inc"); +#include filename + diff --git a/vorlesungen/slides/7/images/test.pov b/vorlesungen/slides/7/images/test.pov new file mode 100644 index 0000000..5707be1 --- /dev/null +++ b/vorlesungen/slides/7/images/test.pov @@ -0,0 +1,7 @@ +// +// test.pov +// +// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +// +#include "drehung.inc" +#include "dreibein/d025.inc" -- cgit v1.2.1 From 71c54ed1c285940349659e93e823d1c0f83cc84d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Thu, 6 May 2021 19:00:08 +0200 Subject: neue folie --- vorlesungen/slides/7/images/drehung.inc | 142 ++++++++++++++++++++++++++++++++ 1 file changed, 142 insertions(+) create mode 100644 vorlesungen/slides/7/images/drehung.inc (limited to 'vorlesungen/slides/7/images') diff --git a/vorlesungen/slides/7/images/drehung.inc b/vorlesungen/slides/7/images/drehung.inc new file mode 100644 index 0000000..c9b4bb7 --- /dev/null +++ b/vorlesungen/slides/7/images/drehung.inc @@ -0,0 +1,142 @@ +// +// common.inc +// +// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +// +#version 3.7; +#include "colors.inc" + +global_settings { + assumed_gamma 1 +} + +#declare imagescale = 0.23; +#declare O = <0, 0, 0>; +#declare at = 0.02; + +camera { + location <8.5, 2, 6.5> + look_at <0, 0, 0> + right x * imagescale + up y * imagescale +} + +//light_source { +// <-14, 20, -50> color White +// area_light <1,0,0> <0,0,1>, 10, 10 +// adaptive 1 +// jitter +//} + +light_source { + <41, 20, 10> color White + area_light <1,0,0> <0,0,1>, 10, 10 + adaptive 1 + jitter +} + +sky_sphere { + pigment { + color rgb<1,1,1> + } +} + +#macro arrow(from, to, arrowthickness, c) +#declare arrowdirection = vnormalize(to - from); +#declare arrowlength = vlength(to - from); +union { + sphere { + from, 1.0 * 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 +#declare r = 1.0; + +arrow(< -r-0.2, 0.0, 0 >, < r+0.2, 0.0, 0.0 >, at, Gray) +arrow(< 0.0, 0.0, -r-0.2>, < 0.0, 0.0, r+0.2 >, at, Gray) +arrow(< 0.0, -r-0.2, 0 >, < 0.0, r+0.2, 0.0 >, at, Gray) + +#declare farbeX = rgb<1.0,0.2,0.6>; +#declare farbeY = rgb<0.0,0.8,0.4>; +#declare farbeZ = rgb<0.4,0.6,1.0>; + +#declare farbex = rgb<1.0,0.0,0.0>; +#declare farbey = rgb<0.0,0.6,0.0>; +#declare farbez = rgb<0.0,0.0,1.0>; + +#macro quadrant(X, Y, Z) + intersection { + sphere { O, 0.5 } + plane { -X, 0 } + plane { -Y, 0 } + plane { -Z, 0 } + pigment { + color rgb<1.0,0.6,0.2> + } + finish { + specular 0.95 + metallic + } + } + arrow(O, X, 1.1*at, farbex) + arrow(O, Y, 1.1*at, farbey) + arrow(O, Z, 1.1*at, farbez) +#end + +#macro drehung(X, Y, Z) +// intersection { +// sphere { O, 0.5 } +// plane { -X, 0 } +// plane { -Y, 0 } +// plane { -Z, 0 } +// pigment { +// color Gray +// } +// finish { +// specular 0.95 +// metallic +// } +// } + arrow(O, 1.1*X, 0.9*at, farbeX) + arrow(O, 1.1*Y, 0.9*at, farbeY) + arrow(O, 1.1*Z, 0.9*at, farbeZ) +#end + +#macro achse(H) + cylinder { H, -H, at + pigment { + color rgb<0.6,0.4,0.2> + } + finish { + specular 0.95 + metallic + } + } + cylinder { 0.003 * H, -0.003 * H, 1 + pigment { + color rgbt<0.6,0.4,0.2,0.5> + } + finish { + specular 0.95 + metallic + } + } +#end -- cgit v1.2.1