Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations (Q1939498)
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scientific article; zbMATH DE number 6141006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations |
scientific article; zbMATH DE number 6141006 |
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Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations (English)
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4 March 2013
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Piecewise polynomial splines in two dimensions are considered with given smoothness and polynomial degree, being \(r\) and \(3r-1\), respectively. The piecewise structure is defined on a triangulation and the refinement takes place using the Powell-Sabin split. Among other results, efficient and stable methods for computing Bernstein-Bézier forms are derived, normalised Powell-Sabin B-splines are considered and practical issues are discussed.
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smooth Powell-Sabin splines
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normalized B-splines
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macro-elements
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control points
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control polynomials
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Bernstein-Bézier form
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