Hölder regularity of subdivision schemes and of vector scaling functions

DOI10.1007/s40316-015-0028-4zbMath1327.65032OpenAlexW583458274MaRDI QIDQ495824

Serge Dubuc

Publication date: 15 September 2015

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-015-0028-4

zbMATH Keywords

Hölder regularityperiodic subdivision schemevector scaling function

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the joint spectral radius of matrices of order 2 with equal spectral radius
• Uniform refinement of curves
• Sets of matrices all infinite products of which converge
• Quasilinear subdivision schemes with applications to ENO interpolation.
• Palindromic matrices of order two and three-point subdivision schemes
• Analysis of uniform binary subdivision schemes for curve design
• Subdivision schemes in geometric modelling
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Simple Regularity Criteria for Subdivision Schemes
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Characterizations of Scaling Functions: Continuous Solutions
• Using Two-Slanted Matrices for Subdivision
• Subdivision Schemes and Norms

This page was built for publication: Hölder regularity of subdivision schemes and of vector scaling functions