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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-05-06 17:57:06 +0200 |
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committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-05-06 17:57:06 +0200 |
commit | a90d54e578b7d309ba680d5fd5f6c8721b082096 (patch) | |
tree | 49bd3c1f686aa7035cc513d56aad7733efb3c111 /vorlesungen/slides/7/images/interpolation.m | |
parent | add slide (diff) | |
download | SeminarMatrizen-a90d54e578b7d309ba680d5fd5f6c8721b082096.tar.gz SeminarMatrizen-a90d54e578b7d309ba680d5fd5f6c8721b082096.zip |
new slide
Diffstat (limited to 'vorlesungen/slides/7/images/interpolation.m')
-rw-r--r-- | vorlesungen/slides/7/images/interpolation.m | 54 |
1 files changed, 54 insertions, 0 deletions
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 + |