6533b7cefe1ef96bd1256efa
RESEARCH PRODUCT
A Property on Singularities of NURBS Curves
A. LluchJuan MonterdeAna Arnalsubject
Pure mathematicsSingularityFamily of curvesCurve fittingTangentGeometryGravitational singularitySingular point of a curveNon-uniform rational B-splineDe Boor's algorithmMathematics::Numerical AnalysisMathematicsdescription
We prove that if a.n open Non Uniform Rational B-Spline curve of order k has a singular point, then it belongs to both curves of order k - 1 defined in the k - 2 step of the de Boor algorithm. Moreover, both curves are tangent at the singular point.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-01-01 |