Subdivision as a fundamental building block of digital geometry processing algorithms

DOI10.1016/S0377-0427(02)00530-7zbMath1019.68116OpenAlexW2032005956MaRDI QIDQ1860475

Peter Schröder

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00530-7

zbMATH Keywords

subdivisionapproximation theorygeometric modelingdigital signal processingmultiscale algorithms

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (2)

The complexity of subdivision for diameter-distance tests ⋮ Subdivision-based digital geometry processing as a fundamental building block of digital manufacturing

Cites Work

• Unnamed Item
• A unified approach to subdivision algorithms near extraordinary vertices
• Edge and vertex insertion for a class of \(C^{1}\) subdivision surfaces
• Regularity of irregular subdivision
• Smoothness of stationary subdivision on irregular meshes
• A butterfly subdivision scheme for surface interpolation with tension control
• Conditions for tangent plane continuity over recursively generated B-spline surfaces
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Stationary subdivision
• A Method for Analysis ofC¹-Continuity of Subdivision Surfaces
• A degree estimate for subdivision surfaces of higher regularity
• Quasi 4--8 subdivision
• On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
• 4--8 Subdivision
• A unified framework for primal/dual quadrilateral subdivision schemes
• Trimming for subdivision surfaces

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