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Showing 1 to 3 of 3 for “"Shearlets"”.
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DIRECTIONAL MULTISCALE ANALYSIS USING SHEARLET THEORY AND APPLICATIONS
Shearlets emerged in recent years in applied harmonic analysis as a general framework to provide sparse representations of multidimensional data. This construction was motivated by the need to provide more efficient algorithms for data analysis and processing, overcoming the limitations of …
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Smooth Projections and Optimally Sparse Representation of Cartoon-like Cylindrical Solids
… and compression. Inspired by the success of shearlets -- a multiscale sparse representation framework for analysing multivariate data -- we introduce a new variant, called cylindrical shearlets. This system is especially designed to provide sparse representations of functions in the class …
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Thoughts on harmonic analysis on the sphere: spherical wavelet frames and kernels
… of the so called spherical \alpha-wavelets/shearlets. Summability properties of those wavelets/shearlets are well established once they are restricted to certain subspaces of square-integrable functions newly defined in this dissertation, including the so called hollow pole functions. …