Application of Legendre--Bernstein basis transformations to degree elevation and degree reduction

Authors:
Byung-Gook Lee;Yunbeom Park;Jaechil Yoo
Affiliations:
Division of Internet Engineering, Dongseo University, Busan, 617-716, South Korea;Department of Mathematics Education, Seowon University, Cheongju, 361-742, South Korea;Department of Mathematics, Dongeui University, Busan, 614-714, South Korea
Venue:
Computer Aided Geometric Design
Year:
2002

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Abstract

We study the relationship of transformations between Legendre and Bernstein basis. Using the relationship, we present a simple and efficient method for optimal multiple degree reductions of Bézier curves with respect to the L2-norm.