# Bounded variation

## Papers overview

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Highly Cited

2010

Highly Cited

2010

- SIAM J. Imaging Sciences
- 2010

The novel concept of total generalized variation of a function u is introduced and some of its essential properties are provedâ€¦Â (More)

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2010

2010

- 2010

A notion of generalized bounded variation is introduced which simultaneously generalizes many of those previously examined. It isâ€¦Â (More)

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2010

2010

- 2010

In a recent paperf we investigated the relations between several definitions of bounded variation for functions fix, y) of twoâ€¦Â (More)

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Highly Cited

2005

Highly Cited

2005

- Journal of Mathematical Imaging and Vision
- 2005

We construct an algorithm to split an image into a sum u + v of a bounded variation component and a component containing theâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- SIAM Journal of Applied Mathematics
- 2004

It is demonstrated that the pre-dual for problems with total bounded variation regularization terms can be expressed asâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- 2004

We generalize a result of Gao and Xu [4] concerning the approximation of functions of bounded variation by linear combinations ofâ€¦Â (More)

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Highly Cited

2003

Highly Cited

2003

- J. Sci. Comput.
- 2003

This paper is devoted to the modeling of real textured images by functional minimization and partial differential equationsâ€¦Â (More)

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Highly Cited

2001

Highly Cited

2001

- SIAM J. Math. Analysis
- 2001

The bounded variation assumption is the starting point of many methods in image analysis and processing. However, one commonâ€¦Â (More)

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Highly Cited

1994

Highly Cited

1994

- 1994

This paper presents an abstract analysis of bounded variation (BY) methods for illposed apentor equations Au = L. Let where theâ€¦Â (More)

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Highly Cited

1994

Highly Cited

1994

- ICIP
- 1994

The two main plagues of image restoration are oscillations and smoothing. Traditional image restoration techniques preventâ€¦Â (More)

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