FAST DISCRETE CURVELET TRANSFORMS PDF

Multiscale Modeling and Simulation, 5 3. ISSN This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform in two and three dimensions. The first digital transformation is based on unequally spaced fast Fourier transforms, while the second is based on the wrapping of specially selected Fourier samples. The two implementations essentially differ by the choice of spatial grid used to translate curvelets at each scale and angle. Both digital transformations return a table of digital curvelet coefficients indexed by a scale parameter, an orientation parameter, and a spatial location parameter.

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Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform in two and three dimensions.

The first digital transformation is based on unequally spaced fast Fourier transforms, while the second is based on the wrapping of specially selected Fourier samples. The two implementations essentially differ by the choice of spatial grid used to translate curvelets at each scale and angle. View PDF. Save to Library. Create Alert. Launch Research Feed. Share This Paper. Figures, Tables, and Topics from this paper.

Figures and Tables. Citations Publications citing this paper. Iqbal , M. References Publications referenced by this paper. The contourlet transform: an efficient directional multiresolution image representation Minh N. Digital curvelet transform: strategy, implementation, and experiments David L.

Donoho , Mark R. Dutt , Vladimir Rokhlin Mathematics New tight frames of curvelets and optimal representations of objects with piecewise C Emmanuel J. Donoho Mathematics The curvelet transform for image denoising Emmanuel J.

New multiscale transforms, minimum total variation synthesis: applications to edge-preserving image reconstruction Emmanuel J. Image Process. The curvelet representation of wave propagators is optimally sparse Emmanuel J.

Directional multiresolution image representations Minh N. Do Mathematics Related Papers. By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy , Terms of Service , and Dataset License.

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We hope this content on epidemiology, disease modeling, pandemics and vaccines will help in the rapid fight against this global problem. Click on title above or here to access this collection. This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform in two and three dimensions. The first digital transformation is based on unequally spaced fast Fourier transforms, while the second is based on the wrapping of specially selected Fourier samples. The two implementations essentially differ by the choice of spatial grid used to translate curvelets at each scale and angle.

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Fast Discrete Curvelet Transforms

This application claims the benefit of U. Subject matter disclosed in this specification was supported at least in part through governmental grants no. DMS awarded by the National Science Foundation, and is subject to certain governmental rights and interests. The subject matter disclosed and claimed in this specification generally relates to methods and apparatus for signal processing, data analysis, and scientific computing.

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