Title :
Construction of orthonormal directional wavelets based on quincunx dilation subsampling
Author_Institution :
Dept. of Math., Duke Univ., Durham, NC, USA
Abstract :
Using quincunx downsampling for bases and standard downsampling for low-redundancy frames, we construct directional wavelet systems that have the same direction selectivity as shearlets in the first frequency dyadic ring; these are the first step towards the construction of efficient shearlet systems.
Keywords :
data compression; image coding; image sampling; tensors; wavelet transforms; 2D tensor wavelet schemes; direction selectivity; first frequency dyadic ring; image analysis; image compression; low-redundancy frames; orthonormal directional wavelets; quincunx dilation subsampling; quincunx downsampling; shearlet systems; standard downsampling; Frequency-domain analysis; Multiresolution analysis; Redundancy; Smoothing methods; Wavelet domain; Wavelet transforms;
Conference_Titel :
Sampling Theory and Applications (SampTA), 2015 International Conference on
Conference_Location :
Washington, DC
DOI :
10.1109/SAMPTA.2015.7148899
