The limitations of commonly used separable extensions of one-dimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that
MCALabC++ is a collection of Matlab and C++ programs that implements: + Many fast analysis and synthesis transforms used in image processing, including: wavelets, curvelets, waveatoms, (local)dct and dst, etc.
The curvelet transform is a multiscale and multidirectional transform, which allows an almost optimal non-adaptive sparse representation for curve-like features and edges. Applications of curvelets have quicken increasing interest in the community o
This book presents the state of the art in sparse and multiscale image and signal processing, covering linear multiscale transforms, such as wavelet, ridgelet, or curvelet transforms, and non-linear multiscale transforms based on the median and math
In order to denoise Poisson count data, we introduce a variance stabilizing transform (VST) applied on a filtered discrete Poisson process, yielding a near Gaussian process with asymptotic constant variance. This new transform, which can be deemed a
A rational-dilation wavelet transform (RWT) based pan-sharpening method for multi-spectral (MS) images of various oscillatory nature is proposed. The previous multi-scale transforms, such as wavelets, curvelets and contourlets, decompose an image int
