Surface fitting using convex tensor-product splines

DOI10.1016/S0377-0427(97)00100-3zbMath0883.65007MaRDI QIDQ1372094

Bert Jüttler

Publication date: 1 March 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

quadratic optimizationsurface fittingDupin's indicatrixtensor-product spline surface

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

Far-Field Reflector Problem Under Design Constraints ⋮ MONOTONE APPROXIMATION OF AGGREGATION OPERATORS USING LEAST SQUARES SPLINES ⋮ A concept for parametric surface Fitting which avoids the parametrization problem ⋮ Multidimensional spline integration of scattered data ⋮ Shape optimization under width constraint ⋮ Convexity preserving splines over triangulations ⋮ Monotonicity-preserving interproximation of \(B\)-\(H\)-curves ⋮ Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights

Uses Software

• lp_solve
• FITPACK

Cites Work

• The convexity of Bernstein polynomials over triangles
• An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
• Positivity of cubic polynomials on intervals and positive spline interpolation
• An algorithm for cubic spline fitting with convexity constraints
• Convexity preserving interpolation and Powell-Sabin elements
• Surface fitting using convex Powell-Sabin splines
• A weak condition for the convexity of tensor-product Bézier and B- spline surfaces
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