Smoothness of subdivision surfaces with boundary

DOI10.1007/S00365-015-9292-4zbMath1326.65025OpenAlexW1804551744MaRDI QIDQ2516757

Denis Zorin, Sara Grundel, Henning Biermann

Publication date: 4 August 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-015-9292-4

zbMATH Keywords

computer graphicssubdivision algorithmscharacteristic mapsgeometric modellingLoopboundary rules\(C^1\)-analysispiecewise-smoote boundarysmoothe surface

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• On the complexity of smooth spline surfaces from quad meshes
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• Surface interpolation on irregular networks with normal conditions
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• Subdivision surfaces
• Smoothness analysis of nonlinear subdivision schemes of homogeneous and affine invariant type
• Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity
• Polyhedral subdivision methods for free-form surfaces
• Analysis of Algorithms Generalizing B-Spline Subdivision
• A Method for Analysis ofC¹-Continuity of Subdivision Surfaces
• Elementary Differential Topology. (AM-54)

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