A note on the paper in CAGD (2004, 21 (2), 181--191)

Authors:
Ren-Jiang Zhang;Guo-Jin Wang
Affiliations:
State Key Lab of CAD&CG and Department of Mathematics, Zhejiang University, Hangzhou, 310027, PR China and China Jiliang University, Zhejiang, Hangzhou, 310018, PR China;State Key Lab of CAD&CG and Department of Mathematics, Zhejiang University, Hangzhou, 310027, PR China
Venue:
Computer Aided Geometric Design
Year:
2005

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Constrained polynomial degree reduction in the L2-norm equals best weighted Euclidean approximation of Bézier coefficients

Computer Aided Geometric Design

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Abstract

Ahn, Lee, Park and Yoo proved that the best constrained degree reduction of a polynomial f in L"2-norm equals the best weighted Euclidean approximation of the Bernstein-Bezier coefficients of f in a paper, published in the journal, Computer Aided Geometric Design 21 (2) (2004) 181-191. In this note, we point out an error in their paper and give the correct result.