A variational approach to subdivision

DOI10.1016/0167-8396(96)00007-6zbMath0875.68878OpenAlexW2025324261MaRDI QIDQ671723

Leif Kobbelt

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-8396(96)00007-6

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Interpolation in approximation theory (41A05)

Related Items

Constrained variational refinement ⋮ Distributing Points on the Sphere, I ⋮ Ternary univariate curvature-preserving subdivision ⋮ Geometric design of motions constrained by a contacting surface pair ⋮ Optimized dual interpolating subdivision schemes ⋮ Old problems and new challenges in subdivision ⋮ Fairing geometric modeling based on 4-point interpolatory subdivision scheme. ⋮ An abstract formulation of variational refinement ⋮ Quasi 4--8 subdivision ⋮ On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree ⋮ Normal based subdivision scheme for curve design ⋮ CONSTRAINT MODELING FOR CURVES AND SURFACES IN CAGD: A SURVEY ⋮ Local energy-optimizing subdivision algorithms ⋮ A cascadic geometric filtering approach to subdivision.

Cites Work

• Interpolating curves with gradual changes in curvature
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Interpolatory convexity-preserving subdivision schemes for curves and surfaces
• Convexity-preserving interpolatory subdivision
• Interpolation through an iterative scheme
• Stationary subdivision
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