Polyhedral subdivision methods for free-form surfaces

DOI10.1145/27625.27628zbMath0637.65144OpenAlexW1984897426MaRDI QIDQ3777414

Ahmad H. Nasri

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1145/27625.27628

zbMATH Keywords

computer graphicsconvex hullcomputational geometrygeometric modelingB-splinevariation diminishingfree-form surface representationsPolyhedral subdivision

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computing methodologies and applications (68U99) Surfaces in Euclidean and related spaces (53A05) Algorithms for approximation of functions (65D15) Descriptive geometry (51N05) Graphical methods in numerical analysis (65S05)

Related Items (13)

A \(G^ 1\) triangular spline surface of arbitrary topological type ⋮ Including shape handles in recursive subdivision surfaces ⋮ Design of an n-sided surface patch from Hermite boundary data ⋮ Non-uniform interpolatory subdivision surface ⋮ Subdivision algorithms with modular arithmetic ⋮ An alternative method for constructing interpolatory subdivision from approximating subdivision ⋮ Smoothing of free-form surfaces with Bézier patches ⋮ A unified approach to subdivision algorithms near extraordinary vertices ⋮ Biquadratic G-spline surfaces ⋮ Quasi 4--8 subdivision ⋮ Smoothness of subdivision surfaces with boundary ⋮ Surface interpolation on irregular networks with normal conditions ⋮ Blending parametric patches with subdivision surfaces.

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