Spline and Bézier polygons associated with a polynomial spline curve
Identifieur interne : 00EF15 ( Main/Exploration ); précédent : 00EF14; suivant : 00EF16Spline and Bézier polygons associated with a polynomial spline curve
Auteurs : P. Sablonniére [France]Source :
- Computer-Aided Design [ 0010-4485 ] ; 1978.
English descriptors
- Teeft :
Abstract
Abstract: Parametrized polynomial spline curves are defined by an S-polygon, but locally they are Bézier curves defined by a B-polygon. Two algorithms are given which construct one polygon from the other and vice versa. The generalization to surfaces is straightforward. This may be of some interest in CAD because of the good local properties of the B-polygon
Url:
DOI: 10.1016/0010-4485(78)90061-1
Affiliations:
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Le document en format XML
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<term>Geometric design</term>
<term>Intermediate polygons</term>
<term>July</term>
<term>Linear combinations</term>
<term>Local parameter</term>
<term>Matrix</term>
<term>Parametrized</term>
<term>Parametrized curve</term>
<term>Polygon</term>
<term>Riesenfeld</term>
<term>Spline</term>
<term>Spline curve</term>
<term>Tetrahedral</term>
<term>Tetrahedral algorithm</term>
<term>Uniform sequence</term>
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<front><div type="abstract" xml:lang="en">Abstract: Parametrized polynomial spline curves are defined by an S-polygon, but locally they are Bézier curves defined by a B-polygon. Two algorithms are given which construct one polygon from the other and vice versa. The generalization to surfaces is straightforward. This may be of some interest in CAD because of the good local properties of the B-polygon</div>
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