Geometric spline curves

DOI10.1016/0167-8396(85)90028-7zbMath0577.65006OpenAlexW2083124169MaRDI QIDQ1065493

Hans Hagen

Publication date: 1985

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(85)90028-7

zbMATH Keywords

geometric modellingcubic spline interpolantsextremal properties of splinesgeometric computer aided designtau-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Curves in Euclidean and related spaces (53A04)

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Surfaces in computer aided geometric design: A survey with new results, Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices, Theories of contact specified by connection matrices, Interpolating curves with gradual changes in curvature, Piecewise polynomial spaces and geometric continuity of curves, New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree, Geometric construction of energy-minimizing Béezier curves, B-spline-Bézier representation of geometric spline curves: Quartics and quintics, Point data reconstruction and smoothing using cubic splines and clusterization, Geometric surface patches without twist constraints, Projectively invariant classes of geometric continuity for CAGD, Geometric contact for curves and surfaces

Cites Work

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• Bezier-curves with curvature and torsion continuity
• Scalar- and planar-valued curve fitting using splines under tension
• An Interpolation Curve Using a Spline in Tension