Polar forms for geometrically continuous spline curves of arbitrary degree

DOI10.1145/169728.169726zbMath0770.68116OpenAlexW2023872995MaRDI QIDQ4696437

Hans-Peter Seidel

Publication date: 29 June 1993

Published in: ACM Transactions on Graphics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/169728.169726

zbMATH Keywords

polar formosculating flats\(B\)-splineBézier pointsknot insertionblossomconnection matrixde Boor algorithmknot vectoruniversal splinesspline control points\(\beta\)-spline

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items

Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices ⋮ NURBS approximation of surface / surface intersection curves ⋮ Theories of contact specified by connection matrices ⋮ Error estimates and condition numbers for radial basis function interpolation ⋮ \(B\)-slines with homogenized knots ⋮ de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves ⋮ On transfinite interpolations with respect to convex domains ⋮ Computation of Hermite interpolation in terms of B-spline basis using polar forms ⋮ Extending B-spline tools and algorithms to geometrically continuous splines: A study of similarities and differences ⋮ Blossoming stories ⋮ B-spline bases and osculating flats: One result of H.-P. Seidel revisited ⋮ A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation

Uses Software

• Maple