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Wave atoms and sparsity of oscillatory patterns
Wave atoms Image processing Texture Oscillatory Warping Diffeomorphism
2015/7/14
We introduce “wave atoms” as a variant of 2D wavelet packets obeying the parabolic scaling wavelength ～ (diameter)2. We prove that warped oscillatory functions, a toy model for texture, have a signifi...
Scattering in Flatland: Efficient Representations via Wave Atoms
Fast algorithm Wave propagation Boundary integral equation Computational harmonic analysis
2015/7/14
This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we represent in a basis ...