Optimal approximate conversion of spline surfaces

DOI10.1016/0167-8396(89)90030-7zbMath0682.65005OpenAlexW1970065403MaRDI QIDQ1824344

Franz-Josef Schneider, Peter Wassum, Josef Hoschek

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-8396(89)90030-7

zbMATH Keywords

offset surfacesBernstein polynomialscomputer aided designBéziers spline patchessmoothing patchestensor-product surface

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Surfaces in Euclidean and related spaces (53A05) Spline approximation (41A15)

Related Items

Best approximations of symmetric surfaces by biquadratic Bézier surfaces ⋮ Spherical splines ⋮ Approximation and/or construction of curves by minimization methods with or without constraints ⋮ In memoriam Josef Hoschek ⋮ An improved Hoschek intrinsic parametrization ⋮ Fast B-spline curve fitting by L-BFGS ⋮ Parameter optimization in approximating curves and surfaces to measurement data ⋮ Reverse engineering applications for recovery of broken or worn parts and re-manufacturing: three case studies ⋮ Approximation of parametric surfaces ⋮ A unified approach for degree reduction of polynomials in the Bernstein basis. I: Real polynomials

Cites Work

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• A survey of curve and surface methods in CAGD
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• A spline approximation of offset curves
• A practical guide to splines
• Über berührende Kegelschnitte einer ebenen Kurve