Existence and construction of \(H_1\)-splines of class \(C^k\) on a three directional mesh (Q1610204)
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scientific article; zbMATH DE number 1783428
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and construction of \(H_1\)-splines of class \(C^k\) on a three directional mesh |
scientific article; zbMATH DE number 1783428 |
Statements
Existence and construction of \(H_1\)-splines of class \(C^k\) on a three directional mesh (English)
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19 August 2002
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This paper studies the dimension of the space of smooth piecewise polynomial functions with support \(H_1,\) and gives a construction of the corresponding \(H_1\)-splines when the dimension of this space is equal to one. The authors prove the existence of a unique \(H_1\)-spline of minimal degree, and present an algorithm to compute the Bernstein-Bézier coefficients of this spline.
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B-splines, \(H_1\)-splines, minimal degree
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