1
Math128B
Apr. 21, 2005
Jonathan Dorfman
Homework 10 Solutions
Problem 10.1
file function
Hmwk10Main.m calls KnotInsertion
calls ControlPolygon
KnotInsertion.m implements p.17 of de Boor’s notes
ControlPolygon.m implements p.12 ofde Boor’s notes
A diary of the output follows:
%%%%%%%%%% Problem #10.1 %%%%%%%%%%%%%%%%%%%%%%%
knot sequence before insertion is:
[0 0 1 1.5 2 2.1 2.2 2.3 3]
knot sequence after insertion of x=1.94 is:
[0 0 1 1.5 1.94 2 2.1 2.2 2.3 3]
A-sequence before insertion is:
[1 -1 -0.5 3 -1]
A-sequence after insertion of x=1.94 is:
[1 -0.94 -0.57273 1.7 3 -1]
%%%%%%%%%% Problem #10.2 %%%%%%%%%%%%%%%%%%%%%%%
t* sequence is t* =
[0.33333][0.83333 1.5 1.8667 2.1 2.2] [2.5]
a-values =[0] [1 -1 -0.5 3 -1] [0]
%%%%%%%%%% Problem #10.3 %%%%%%%%%%%%%%%%%%%%%%%
t* sequence is t* =:
[0.33333] [0.83333 1.48 1.8133 2.0133 2.1 2.2] [2.5]
a-values =[0] [1 -0.94 -0.57273 1.7 3 -1] [0]
