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5 April 2000 Digital curvelet transform: strategy, implementation, and experiments
David L. Donoho, Mark R. Duncan
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Proceedings Volume 4056, Wavelet Applications VII; (2000) https://doi.org/10.1117/12.381679
Event: AeroSense 2000, 2000, Orlando, FL, United States
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.
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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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KEYWORDS
Wavelets
Wavelet transforms
Bandpass filters
Fourier transforms
Image processing
Spatial resolution
Laser engraving
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