neue folie

2 files changed, 201 insertions, 52 deletions

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
diff --git a/vorlesungen/slides/7/interpolation.tex b/vorlesungen/slides/7/interpolation.tex
index 3d40d7b..249ee26 100644
--- a/vorlesungen/slides/7/interpolation.tex
+++ b/vorlesungen/slides/7/interpolation.tex
@@ -40,64 +40,71 @@ $g_i=\exp(A_i) \uncover<3->{\Rightarrow A_i^t=-A_i}$
 \\
 \uncover<9->{\Rightarrow
 g(t) &= \exp A(t) \in \operatorname{SO}(3)}
+\\
+&\uncover<10->{\ne 
+\exp (\log(g_1g_0^{-1})t) g_0}
 \end{align*}
 \end{block}}
 \end{column}
 \begin{column}{0.48\textwidth}
-\uncover<10->{%
+\uncover<11->{%
 \begin{block}{Animation}
 \centering
-\bild{11}{i00}
-\bild{12}{i01}
-\bild{13}{i02}
-\bild{14}{i03}
-\bild{15}{i04}
-\bild{16}{i05}
-\bild{17}{i06}
-\bild{18}{i07}
-\bild{19}{i08}
-\bild{20}{i09}
-\bild{21}{i10}
-\bild{22}{i11}
-\bild{23}{i12}
-\bild{24}{i13}
-\bild{25}{i14}
-\bild{26}{i15}
-\bild{27}{i16}
-\bild{28}{i17}
-\bild{29}{i18}
-\bild{30}{i19}
-\bild{31}{i20}
-\bild{32}{i21}
-\bild{33}{i22}
-\bild{34}{i23}
-\bild{35}{i24}
-\bild{36}{i25}
-\bild{37}{i26}
-\bild{38}{i27}
-\bild{39}{i28}
-\bild{40}{i29}
-\bild{41}{i30}
-\bild{42}{i31}
-\bild{43}{i32}
-\bild{44}{i33}
-\bild{45}{i34}
-\bild{46}{i35}
-\bild{47}{i36}
-\bild{48}{i37}
-\bild{49}{i38}
-\bild{50}{i39}
-\bild{51}{i40}
-\bild{52}{i41}
-\bild{53}{i42}
-\bild{54}{i43}
-\bild{55}{i44}
-\bild{56}{i45}
-\bild{57}{i46}
-\bild{58}{i47}
-\bild{59}{i48}
-\bild{60}{i49}
-\bild{61}{i50}
+\ifthenelse{\boolean{presentation}}{
+\bild{12}{i00}
+\bild{13}{i01}
+\bild{14}{i02}
+\bild{15}{i03}
+\bild{16}{i04}
+\bild{17}{i05}
+\bild{18}{i06}
+\bild{19}{i07}
+\bild{20}{i08}
+\bild{21}{i09}
+\bild{22}{i10}
+\bild{23}{i11}
+\bild{24}{i12}
+\bild{25}{i13}
+\bild{26}{i14}
+\bild{27}{i15}
+\bild{28}{i16}
+\bild{29}{i17}
+\bild{30}{i18}
+\bild{31}{i19}
+\bild{32}{i20}
+\bild{33}{i21}
+\bild{34}{i22}
+\bild{35}{i23}
+\bild{36}{i24}
+\bild{37}{i25}
+\bild{38}{i26}
+\bild{39}{i27}
+\bild{40}{i28}
+\bild{41}{i29}
+\bild{42}{i30}
+\bild{43}{i31}
+\bild{44}{i32}
+\bild{45}{i33}
+\bild{46}{i34}
+\bild{47}{i35}
+\bild{48}{i36}
+\bild{49}{i37}
+\bild{50}{i38}
+\bild{51}{i39}
+\bild{52}{i40}
+\bild{53}{i41}
+\bild{54}{i42}
+\bild{55}{i43}
+\bild{56}{i44}
+\bild{57}{i45}
+\bild{58}{i46}
+\bild{59}{i47}
+\bild{60}{i48}
+\bild{61}{i49}
+\bild{62}{i50}
+}{
+\includegraphics[width=\textwidth]{../slides/7/images/interpolation/i25.png}
+}
 \end{block}}
 \end{column}
 \end{columns}