Stability of the B-spline basis via knot insertion
نویسنده
چکیده
We derive the stability inequality ‖C‖ 6 γ ‖∑i cibi‖ for the B-splines bi from the formula for knot insertion. The key observation is that knot removal increases the norm of the B-spline coefficients C = {ci}i∈Z at most by a constant factor, which is independent of the knot sequence. As a consequence, stability for splines follows from the stability of the Bernstein basis. 2000 Elsevier Science B.V. All rights reserved.
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عنوان ژورنال:
- Computer Aided Geometric Design
دوره 17 شماره
صفحات -
تاریخ انتشار 2000