Curve offsetting based on Legendre series

DOI10.1016/S0167-8396(98)00012-0zbMath0905.68152MaRDI QIDQ1128915

S. H. Smith

Publication date: 13 August 1998

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

zbMATH Keywords

subdivisionLegendre series\(B\)-splineoffsets

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spline approximation (41A15)

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An orthogonal basis for the hyperbolic hybrid polynomial space ⋮ Algorithms for computing the approximation of offsets of toric Bézier curves ⋮ Offset approximation based on reparameterizing the path of a moving point along the base circle ⋮ Basis conversion among Bézier, Tchebyshev and Legendre ⋮ A Ritz-Galerkin approximation to the solution of parabolic equation with moving boundaries ⋮ Inversion approximations for functions via \(s\)-power series ⋮ A polynomial approximation for arbitrary functions ⋮ Multiple Degree Reduction and Elevation of Bézier Curves Using Jacobi–Bernstein Basis Transformations ⋮ \(s\)-power series: an alternative to Poisson expansions for representing analytic functions

Cites Work

• Offset-rational parametric plane curves
• Identification of inflection points and cusps on rational curves
• Planar curve offset based on circle approximation
• Degree reduction of Bézier curves
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