Introduction to the Mathematics of Subdivision Surfaces

DOI10.1137/1.9780898717617zbMath1207.68412OpenAlexW1562994786MaRDI QIDQ3558001

N. F. Stewart, Lars-Erik Andersson

Publication date: 29 April 2010

Full work available at URL: https://doi.org/10.1137/1.9780898717617

zbMATH Keywords

shape controlcomputer graphicsspline surfacesubdivision surface

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science (68-01) Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)

Related Items (9)

Weaving patterns inspired by the pentagon snub subdivision scheme ⋮ Univariate subdivision schemes for noisy data with geometric applications ⋮ Space exploration via proximity search ⋮ Conversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces ⋮ Subdivision schemes for positive definite matrices ⋮ Generating surfaces by refinement of curves ⋮ A bivariate \(C^1\) subdivision scheme based on cubic half-box splines ⋮ Dyadic T-mesh subdivision ⋮ Construction of trigonometric box splines and the associated non-stationary subdivision schemes

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