Open Access Paper
5 April 2000 Digital curvelet transform: strategy, implementation, and experiments
David L. Donoho, Mark R. Duncan
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Abstract
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.
© (2000) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
David L. Donoho and Mark R. Duncan "Digital curvelet transform: strategy, implementation, and experiments", Proc. SPIE 4056, Wavelet Applications VII, (5 April 2000); https://doi.org/10.1117/12.381679
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Cited by 346 scholarly publications.
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KEYWORDS
Wavelets

Wavelet transforms

Bandpass filters

Fourier transforms

Image processing

Spatial resolution

Laser engraving

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