Computational geometry: curve and surface modeling
Computational geometry: curve and surface modeling
Detecting cusps and inflection points in curves
Computer Aided Geometric Design
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
The NURBS book (2nd ed.)
Inflection points and singularities on planar rational cubic curve segments
Computer Aided Geometric Design
Singularities of rational Bézier curves
Computer Aided Geometric Design
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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.