Given six control points of a nonuniform B-spline, P0 - (1, 5) P1 - (1.5, 6) P2 - (3.5, 6.5) P3 - (4, 3) P4 - (5.5, 2) P5 - (6, 3.5) The note vector of the B-Spline curve is [0 0 0 0 1 2 3 3 3 3]   Derive the parametric equations of the three B-Spline curve segments.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
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Given six control points of a nonuniform B-spline,

P0 - (1, 5)

P1 - (1.5, 6)

P2 - (3.5, 6.5)

P3 - (4, 3)

P4 - (5.5, 2)

P5 - (6, 3.5)

The note vector of the B-Spline curve is [0 0 0 0 1 2 3 3 3 3]

 

Derive the parametric equations of the three B-Spline curve segments.

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