Bounded variation

Known as: Function of bounded variation, Bv space, BV function 
In mathematical analysis, a function of bounded variation, also known as a BV function, is a real-valued function whose total variation is bounded… (More)
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2010
Highly Cited
2010
The novel concept of total generalized variation of a function u is introduced and some of its essential properties are proved… (More)
  • figure 1
  • figure 2
  • figure 3
  • table 1
  • figure 4
Is this relevant?
2010
2010
A notion of generalized bounded variation is introduced which simultaneously generalizes many of those previously examined. It is… (More)
Is this relevant?
2010
2010
In a recent paperf we investigated the relations between several definitions of bounded variation for functions fix, y) of two… (More)
Is this relevant?
Highly Cited
2005
Highly Cited
2005
We construct an algorithm to split an image into a sum u + v of a bounded variation component and a component containing the… (More)
  • figure 1
  • figure 3
  • figure 4
  • figure 5
  • figure 6
Is this relevant?
Highly Cited
2004
Highly Cited
2004
It is demonstrated that the pre-dual for problems with total bounded variation regularization terms can be expressed as… (More)
  • figure 5.1
  • table 5.1
  • figure 5.2
  • figure 5.3
  • table 5.2
Is this relevant?
Highly Cited
2004
Highly Cited
2004
We generalize a result of Gao and Xu [4] concerning the approximation of functions of bounded variation by linear combinations of… (More)
Is this relevant?
Highly Cited
2003
Highly Cited
2003
This paper is devoted to the modeling of real textured images by functional minimization and partial differential equations… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2001
Highly Cited
2001
The bounded variation assumption is the starting point of many methods in image analysis and processing. However, one common… (More)
  • figure 1
  • figure 2
  • table 1
  • table 2
  • figure 3
Is this relevant?
Highly Cited
1994
Highly Cited
1994
This paper presents an abstract analysis of bounded variation (BY) methods for illposed apentor equations Au = L. Let where the… (More)
Is this relevant?
Highly Cited
1994
Highly Cited
1994
The two main plagues of image restoration are oscillations and smoothing. Traditional image restoration techniques prevent… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
Is this relevant?