Optimally Sparse Approximations of 3D Functions by Compactly Supported Shearlet Frames
Optimally Sparse Approximations of 3D Functions by Compactly Supported Shearlet Frames
We study efficient and reliable methods of capturing and sparsely representing anisotropic structures in 3D data. As a model class for multidimensional data with anisotropic features, we introduce generalized 3D cartoon-like images. This function class will have two smoothness parameters: one parameter $\beta$ controlling classical smoothness and one parameter $\alpha$ …