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Interpolatory Subdivision on Open Quadrilateral Nets with Arbitrary Topology
Author(s) -
Kobbelt Leif
Publication year - 1996
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.1530409
Subject(s) - subdivision , quadrilateral , simple (philosophy) , scheme (mathematics) , computer science , topology (electrical circuits) , boundary (topology) , subdivision surface , limit (mathematics) , computer graphics , graphics , algorithm , consistency (knowledge bases) , mathematics , polygon mesh , computer graphics (images) , finite element method , artificial intelligence , mathematical analysis , combinatorics , philosophy , physics , archaeology , epistemology , history , thermodynamics
A simple interpolatory subdivision scheme for quadrilateral nets with arbitrary topology is presented which generates C 1 surfaces in the limit. The scheme satisfies important requirements for practical applications in computer graphics and engineering. These requirements include the necessity to generate smooth surfaces with local creases and cusps. The scheme can be applied to open nets in which case it generates boundary curves that allow a C 0 ‐join of several subdivision patches. Due to the local support of the scheme, adaptive refinement strategies can be applied. We present a simple device to preserve the consistency of such adaptively refined nets.