Modelling by Shepard-type curves and surfaces (Q2794947)
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scientific article; zbMATH DE number 6554619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modelling by Shepard-type curves and surfaces |
scientific article; zbMATH DE number 6554619 |
Statements
11 March 2016
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Shepard-type operators
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deviation
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weighted progressive
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iterative approximation
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tensor product surfaces
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Shepard type curves
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computer aided geometric design
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Modelling by Shepard-type curves and surfaces (English)
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The paper is devoted to the study of the first parametric Shepard type curves. The authors prove that using the Shepard type operators could be an advantage with respect to the Bézier case. Finally, the authors give an iterative approximation technique witch can be used in computer aided geometric design. Also an extension to tensor product surfaces is given. In conclusion, the paper is well written and contains new and interesting results.
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