Splines and unsorted knot sequences

نویسنده

  • Jörg Peters
چکیده

The definition of a B-spline is extended to unordered knot sequences. The added flexibility implies that the resulting piecewise polynomials, named U-splines, can be negative and locally linearly dependent. It is therefore remarkable that linear combinations of U-splines retain many properties of splines in B-spline form including smoothness, polynomial reproduction, and evaluation by recurrence.

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عنوان ژورنال:
  • Computer Aided Geometric Design

دوره 30  شماره 

صفحات  -

تاریخ انتشار 2013