Application of Legendre–Bernstein basis transformations to degree elevation and degree reduction
| Autor: | Byung-Gook Lee, Jaechil Yoo, Yunbeom Park |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Degree (graph theory)
Basis (linear algebra) Aerospace Engineering Bézier curve Computer Graphics and Computer-Aided Design Bernstein polynomial Reduction (complexity) Simple (abstract algebra) Modeling and Simulation Automotive Engineering Curve fitting Calculus Applied mathematics Legendre polynomials Mathematics |
| Zdroj: | Computer Aided Geometric Design. 19:709-718 |
| ISSN: | 0167-8396 |
| Popis: | 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 Bezier curves with respect to the L2-norm. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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