Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9662341 | Computers & Mathematics with Applications | 2005 | 12 Pages |
Abstract
In this paper, we study the progressive iteration approximation property of a curve (tensor product surface) generated by blending a given data point set and a set of basis functions. The curve (tensor product surface) has the progressive iteration approximation property as long as the basis is totally positive and the corresponding collocation matrix is nonsingular. Thus, the B-spline and NURBS curve (surface) have the progressive iteration approximation property, and Bézier curve (surface) also has the property if the corresponding collocation matrix is nonsingular.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Hong-Wei Lin, Hu-Jun Bao, Guo-Jin Wang,