Recently, Candes and Donoho introduced the curvelet transform, a new multiscale representation suited for objects which are smooth away from discontinuities across curves. Their proposal was intended for functions f defined on the continuum plane R2. In this paper, we consider the problem of realizing this transform for digital data. We describe a strategy for computing a digital curvelet transform, we describe a software environment, Curvelet 256, implementing this strategy in the case of 256 X 256 images, and we describe some experiments we have conducted using it. Examples are available for viewing by web browser.
David L. Donoho,
Mark R. Duncan,
"Digital curvelet transform: strategy, implementation, and experiments", Proc. SPIE 4056, Wavelet Applications VII, (5 April 2000); doi: 10.1117/12.381679; https://doi.org/10.1117/12.381679