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ADCM
2010
62views more  ADCM 2010»
13 years 6 months ago
Two condensed macro-elements with full approximation power
A variant of the classical C1 Powell-Sabin-12 macro-element is defined that has the same approximation power, but has fewer degrees of freedom and only requires vertex data. The sa...
Peter Alfeld, Larry L. Schumaker, Tatyana Sorokina
ADCM
2010
89views more  ADCM 2010»
13 years 6 months ago
Minimization of convex functionals over frame operators
Abstract. We present results about minimization of convex functionals defined over a finite set of vectors in a finite dimensional Hilbert space, that extend several known results ...
Pedro Massey, Mariano Ruiz
ADCM
2010
95views more  ADCM 2010»
13 years 6 months ago
Pairs of oblique duals in spaces of periodic functions
Abstract. We construct non-tight frames in finite-dimensional spaces consisting of periodic functions. In order for these frames to be useful in practice one needs to calculate a d...
Ole Christensen, Say Song Goh
ADCM
2010
69views more  ADCM 2010»
13 years 6 months ago
Orthonormal bases with nonlinear phases
For adaptive representation of nonlinear signals, the bank M of real square integrable functions that have nonlinear phases and nonnegative instantaneous frequencies under the ana...
Tao Qian, Rui Wang, Yuesheng Xu, Haizhang Zhang
ADCM
2010
270views more  ADCM 2010»
13 years 6 months ago
A fast algorithm for the total variation model of image denoising
The total variation model of Rudin, Osher, and Fatemi for image denoising is considered to be one of the best denoising models. In the past, its solutions were based on nonlinear ...
Rong-Qing Jia, Hanqing Zhao