A Note on Curvelets and Multiscale Directional Transforms (Signal analysis and time-frequency analysis)

Abstract

We present a brief review on curvelets while describing their related topics in efficient representations for a multivariate function. Starting from the approximation theory by a frame in a Hilbert space, we attempt to construct a family of curvelets and to show that it forms a tight frame. A short introduction of other multiscale multidirectional methods, namely, ridgelets, shearlets and contourlets, is also presented.