waveatom.org

Intro | Waveatom.org

A wave atom, from the tight frame with redundancy 2 in the WaveAtom toolbox. Positive values in black, negative values in white. Wave atoms are a recent addition to the repertoire of mathematical transforms of computational harmonic analysis. They come either as an orthonormal basis or a tight frame of directional wave packets, and are particularly well suited for representing oscillatory patterns in images. They also provide a sparse representation of wave equations, hence the name wave atoms.

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Intro | Waveatom.org | waveatom.org Reviews

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A wave atom, from the tight frame with redundancy 2 in the WaveAtom toolbox. Positive values in black, negative values in white. Wave atoms are a recent addition to the repertoire of mathematical transforms of computational harmonic analysis. They come either as an orthonormal basis or a tight frame of directional wave packets, and are particularly well suited for representing oscillatory patterns in images. They also provide a sparse representation of wave equations, hence the name wave atoms.

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2 site navigation skip

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Intro | Waveatom.org | waveatom.org Reviews

https://waveatom.org

A wave atom, from the tight frame with redundancy 2 in the WaveAtom toolbox. Positive values in black, negative values in white. Wave atoms are a recent addition to the repertoire of mathematical transforms of computational harmonic analysis. They come either as an orthonormal basis or a tight frame of directional wave packets, and are particularly well suited for representing oscillatory patterns in images. They also provide a sparse representation of wave equations, hence the name wave atoms.

INTERNAL PAGES

waveatom.org

1

Intro | Waveatom.org

http://www.waveatom.org/intro.html

A wave atom, from the tight frame with redundancy 2 in the WaveAtom toolbox. Positive values in black, negative values in white. Wave atoms are a recent addition to the repertoire of mathematical transforms of computational harmonic analysis. They come either as an orthonormal basis or a tight frame of directional wave packets, and are particularly well suited for representing oscillatory patterns in images. They also provide a sparse representation of wave equations, hence the name wave atoms.

2

Papers | Waveatom.org

http://www.waveatom.org/papers.html

A wave atom, from the tight frame with redundancy 2 in the WaveAtom toolbox. Positive values in black, negative values in white. L Demanet, L. Ying, Scattering in Flatland: Efficient Representations via Wave Atoms. Submitted, 2008. This work is concerned with the boundary integral equations of acoustic scattering, and how to compress their kernel using a nonstandard wave atom matrix. L Demanet, L. Ying, Curvelets and Wave Atoms for Mirror-Extended Images. L Demanet, L. Ying,. L Demanet, L. Ying,.

3

Matlab code | Waveatom.org

http://www.waveatom.org/software.html

A wave atom, from the tight frame with redundancy 2 in the WaveAtom toolbox. Positive values in black, negative values in white. The current version of the Matlab code is 1.1.1 (April 2008). A more recent version of the code (2013) is under the C tab. To install, download. WaveAtom-1.1.1.tar.gz. And extract using tar zxvf WaveAtom-1.1.1.tar.gz. In Unix. A directory WaveAtom will be created. Start with the README file. Previous versions of the toolbox:. WaveAtom-1.1.tar.gz. This website looks best on a Mac.

4

C++ code | Waveatom.org

http://www.waveatom.org/c_code.html

A wave atom, from the tight frame with redundancy 2 in the WaveAtom toolbox. Positive values in black, negative values in white. C, CUDA, and C code. The C/CUDA version of the WaveAtom toolbox (2013) is due to Matti Leinonen. It has transforms in 1D through 5D, with CPU and GPU parallelism, and .m files for easy I/O operations to and from Matlab. WaveAtomC 0.3.tar.gz. Tar zxvf WaveAtomC 0.3.tar.gz. In Unix. A directory WaveAtomC 0.3 will be created. Start with the README file. Last updated May 2008.

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curvelet.org

Curvelet Home

http://www.curvelet.org/index.html

Newest version: CurveLab 2.1.2 (April 2008), which includes mirror-extended (ME) curvelets. The sister webpage for the wave atom transform is at Waveatom.org. The Curvelet transform is a higher dimensional generalization of the Wavelet transform designed to represent images at different scales and different angles. Curvelets enjoy two unique mathematical properties, namely:. Curvelets remain coherent waveforms under the action of the wave equation in a smooth medium. The Curvelet.org team:.

curvelet.org

Curvelet Home

http://www.curvelet.org//index.html

Newest version: CurveLab 2.1.2 (April 2008), which includes mirror-extended (ME) curvelets. The sister webpage for the wave atom transform is at Waveatom.org. The Curvelet transform is a higher dimensional generalization of the Wavelet transform designed to represent images at different scales and different angles. Curvelets enjoy two unique mathematical properties, namely:. Curvelets remain coherent waveforms under the action of the wave equation in a smooth medium. The Curvelet.org team:.

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Intro | Waveatom.org

A wave atom, from the tight frame with redundancy 2 in the WaveAtom toolbox. Positive values in black, negative values in white. Wave atoms are a recent addition to the repertoire of mathematical transforms of computational harmonic analysis. They come either as an orthonormal basis or a tight frame of directional wave packets, and are particularly well suited for representing oscillatory patterns in images. They also provide a sparse representation of wave equations, hence the name wave atoms.

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