The B in B-spline refers to the fact that a segment x.t / may be written in

Question:

The “B” in B-spline refers to the fact that a segment x.t / may be written in terms of a basis matrix, MS , in a form similar to a Bézier curve. That is,


image


where G is the geometry matrix [pppp] and u(t) is the column vector (1, t, t2, t3). In a uniform B-spline, each segment uses the same basis matrix, but the geometry matrix changes. Construct the basis matrix MS for x(t). where G is the geometry matrix [pppp3] and u(t) is the column vector (1, t, t2, t3). In a uniform B-spline, each segment uses the same basis matrix, but the geometry matrix changes. Construct the basis matrix MS for x(t).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

Question Posted: