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On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus

✍ Scribed by Winkel, Rudolf


Book ID
122278990
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
787 KB
Volume
31
Category
Article
ISSN
0167-8396

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✍ Lizheng Lu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 273 KB

Kim and Ahn proved that the best constrained degree reduction of a polynomial over d-dimensional simplex domain in L 2 -norm equals the best approximation of weighted Euclidean norm of the Bernstein-Bézier coefficients of the given polynomial. In this paper, we presented a counterexample to show tha