Title of article
Singularities of rational Bézier curves Original Research Article
Author/Authors
J. Monterde، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
12
From page
805
To page
816
Abstract
We prove that if an nth degree rational Bézier curve has a singular point, then it belongs to the two (n−1)th degree rational Bézier curves defined in the (n−1)th step of the de Casteljau algorithm. Moreover, both curves are tangent at the singular point. A procedure to construct Bézier curves with singularities of any order is given.
Keywords
Weights , Singularity , Bézier curve , Discriminant , Order of singular points
Journal title
Computer Aided Geometric Design
Serial Year
2001
Journal title
Computer Aided Geometric Design
Record number
1139042
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