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Symbols and exact regularity of symmetric pseudo-splines of any arity

Symbols and exact regularity of symmetric pseudo-splines of any arity

Category
Conference lecture and academic presentation
Abstract
Using a generating function approach, we derive expressions for the symbols of the symmetric m-ary pseudo-spline subdivision schemes. We show that their masks have a positive (discrete-time) Fourier transform, making it possible to compute the exact Hölder regularity algebraically as the spectral radius of a matrix. We apply this method to compute the regularity explicitly in some special cases, such as the symmetric binary and ternary pseudo-spline schemes.
Client
  • Norges forskningsråd / prosjektnummer 222335
Language
English
Affiliation
  • SINTEF Digital / Mathematics and Cybernetics
Presented at
9th International Conference on Mathematical Methods for Curves and Surfaces
Place
T√łnsberg
Date
21.06.2016 - 27.06.2016
Organizer
Universitetet i Oslo
Year
2016