Abstract
New algorithms for fast wavelet transforms with biorthogonal spline wavelets on
nonuniform grids are presented. In contrast to classical wavelet transforms, the algorithms are not
based on filter coefficients, but on algorithms for B-spline expansions (differentiation, Oslo algorithm,
etc.). Due to inherent properties of the spline wavelets, the algorithm can be modified for spline grid
refinement or coarsening. The performance of the algorithms is demonstrated by numerical tests of
the adaptive spline methods in circuit simulation.
Original language | English |
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Pages (from-to) | B283-B304 |
Journal | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Volume | 37 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2015 |
Keywords
- splines
- spline wavelets
- free knot spline approximation
- Spline wavelets
- Free knot spline approximation
- Splines