Solving recurrences for Legendre–Bernstein basis transformations

The change of basis matrix M from shifted Legendre to Bernstein polynomials and M−1 have applications in computer graphics. Algorithms use their properties to find the matrix elements efficiently. We give new functions for the elements of M as a summation, and a complete hypergeometric function. We...

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Bibliographic Details
Main Author: D.A. Wolfram
Format: Article
Language:English
Published: Elsevier 2023-12-01
Series:Examples and Counterexamples
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666657X23000198