In linear algebra, a frame of an inner product space is a generalization of a basis of a vector space to sets that may be linearly dependent. In the… (More)

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Highly Cited

2007

Highly Cited

2007

- P. L. Combettes, J C Pesquet
- IEEE Journal of Selected Topics in Signal…
- 2007

Under consideration is the large body of signal recovery problems that can be formulated as the problem of minimizing the sum of… (More)

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Highly Cited

2006

Highly Cited

2006

We introduce “wave atoms” as a variant of 2D wavelet packets obeying the parabolic scaling wavelength ∼ (diameter). We prove that… (More)

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Highly Cited

2003

Highly Cited

2003

- Lawrence W. Baggett, Kathy D. Merrill
- 2003

HARMONIC ANALYSIS AND WAVELETS IN R Lawrence W. Baggett and Kathy D. Merrill Abstract. Necessary and sufficient conditions are… (More)

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Highly Cited

2003

Highly Cited

2003

- Minh N. Do, Martin Vetterli
- IEEE Trans. Signal Processing
- 2003

In 1983, Burt and Adelson introduced the Laplacian pyramid (LP) as a multiresolution representation for images. We study the LP… (More)

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Highly Cited

2003

Highly Cited

2003

We develop a unifying perspective on several decompositions exhibiting directional parabolic scaling. In each decomposition, the… (More)

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Highly Cited

2001

Highly Cited

2001

Frames have been used to capture significant signal characteristics, provide numerical stability of reconstruction, and enhance… (More)

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Highly Cited

2000

Highly Cited

2000

It is widely believed that to efficiently represent an otherwise smooth object with discontinuities along edges, one must use an… (More)

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Highly Cited

1996

Highly Cited

1996

- Tai Sing Lee
- IEEE Trans. Pattern Anal. Mach. Intell.
- 1996

This paper extends to two dimensions the frame criterion developed by Daubechies for one-dimensional wavelets, and it computes… (More)

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Highly Cited

1995

Highly Cited

1995

- Michael Unser
- IEEE Trans. Image Processing
- 1995

This paper describes a new approach to the characterization of texture properties at multiple scales using the wavelet transform… (More)

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Highly Cited

1995

Highly Cited

1995

- Eero P. Simoncelli, William T. Freeman
- ICIP
- 1995

We describe an architecture for efficient and accurate linear decomposition of an image into scale and orientation subbands. The… (More)

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