Bézierspline als Parameterkurve
Author: Prof. Dr. Dörte Haftendorn
Date: 15. Februar 2013

Ha 2011

Notenbogen

A = (1.201026812597861, 1.4266917802714774)
B = (1.2960045020488162, 6.042607487587908)
C = (7.260603399568813, 6.460509321172112)
D = (10, 3)
b0(x) = (1 - x)^(3)
b1(x) = 3 * (1 - x)^(2) * x
b2(x) = 3 * (1 - x) * x^(2)
b3(x) = x^(3)
E = (0, 7)
F = (10, 7)
a = Segment(E, F)
T = Point(a)
ts = Segment(E, T)
t: ts / a
xbez: x(A) * b0(t) + x(B) * b1(t) + x(C) * b2(t) + x(D) * b3(t)
ybez: y(A) * b0(t) + y(B) * b1(t) + y(C) * b2(t) + y(D) * b3(t)
P: (xbez, ybez)
Ortslinie1 = Locus(P, T)
c = Segment(B, A)
d = Segment(C, D)
Text2: "t= " + t
Bildstellung = (-1.4583484920288894, -1.7265675095002406)
b = false