New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree

DOI10.1051/m2an/1992260101491zbMath0752.65008OpenAlexW2584229107MaRDI QIDQ3989248

Hans-Peter Seidel

Publication date: 28 June 1992

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193651

zbMATH Keywords

computer graphicscomputational geometrygeometric continuity\(B\)-splineBézier pointsknot insertionconnection matrixde Boor algorithmobject modelinguniversal splinesmultidimensional modelingspline control points

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Constructing totally positive piecewise Chebyshevian B-spline bases ⋮ Helix splines as an example of affine Tchebycheffian splines ⋮ Pseudoaffinity, de Boor algorithm, and blossoms ⋮ Geometrically continuous piecewise Chebyshevian NU(R)BS ⋮ Polynomial splines as examples of Chebyshevian splines ⋮ The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions ⋮ How to build all Chebyshevian spline spaces good for geometric design? ⋮ The geometry of Tchebycheffian splines ⋮ Blossoming stories ⋮ B-spline bases and osculating flats: One result of H.-P. Seidel revisited ⋮ Piecewise smooth spaces in duality: Application to blossoming ⋮ Nested sequences of Chebyshev spaces and shape parameters ⋮ Pierre Bézier: An engineer and a mathematician

Uses Software

• Maple

Cites Work

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