L. Vese, A study in the BV space of a denoising--deblurring variational problem, Applied Mathematics and Optimization, 44 (2001), pp. 131-- 161. Home/Search Document Details and Download
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Adaptive Image Reconstruction Using Information Measures - Hermann, Noll (2000) (1 citation) (Correct)
.... Gamma divB T ) Ae v B(re v ) Gamma c) 0 with adjoints A T , B T and div B T defined as A T ( N X k=1 k a k ; B T ( N X k=1 k b k ; divB T ( N X k=1 k divb k : Consider the case Omega ae R 2 . Following an idea originating from [6] and extended in [2, 17], sharp edges (contrasts) in the image v(x; y) occur along level curves v(x; y) c, the indication being that the gradient rv(x; y) becomes large. In this case, smoothing across the edge v(x; y) c should be dispensed with, while smoothing along the edge is still needed to suppress irregular ....
....) tol are in a Sobolev space W 1;1 (p) with (p) 0 as p 1 (cf. Example 3) In the limiting case p = 1, we would get solutions which degrade to BV functions, allowing even for discontinuities. Numerical experiments for special choices (t) have been presented in [14, 15] The authors of [2, 17] report experiments with objectives of the form h(u; OE(j j) built on a related philosophy. A comparative study of adaptive filters will be presented elsewhere. 2. Existence of solutions for (P ) pen . During the following, let Omega be a bounded open subset of R N , and suppose a k 2 ....
Vese, L., A study in the BV space of a denoising-deblurring variational problem, To appear.
A Multiscale Image Representation Using (BV, L²).. - Nezzar (2003) Self-citation (Vese) (Correct)
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L. Vese, A Study in the BV Space of a Denoising-Deblurring Variational Problem, Applied Mathematics and Optimization, 44(2), pp. 131-161, 2001.
Modeling Textures with Total Variation Minimization and.. - Vese, Osher (2003) (5 citations) Self-citation (Vese) (Correct)
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Vese, L. (2001). A study in the BV space of a denoising-deblurring variational problem. Applied Mathematics and Optimization 44(2), 131--161.
A Multiscale Image Representation Using Hierarchical.. - Tadmor, Nezzar, Vese (2003) (1 citation) Self-citation (Vese) (Correct)
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L. Vese, A study in the BV space of a denoising-deblurring variational problem, Applied Mathematics and Optimization, 44 (2), pp. 131-161, 2001.
Modeling Textures with Total Variation Minimization and.. - Vese, Osher (2002) (5 citations) Self-citation (Vese) (Correct)
....0 is a tuning parameter. The second term in the energy is a delity term, while the rst term is a regularizing term, to remove noise or small details, while keeping important features and sharp edges. Existence and uniqueness results for the above minimization problem can be found in [1] 10] [25], 3] see also [4] This problem has minimizers in the space BV (IR ) of functions of bounded variation, which is de ned by [11] u 2 BV (IR ) i u 2 L ) and sup g n Z udiv gdxdy : g 2 C c (IR ; IR ) j gj 1 1: 2) If we denote by v = f u or f = u v, then the ....
.... the above minimization problem can be written as: u2BV jruj kvk L 2 ; f = u v : 3) Formally minimizing F (u) yields the associated Euler Lagrange equation u = f 1 2 (for a correct form of the equation 0 2 F (u) satis ed by a minimizer u 2 BV , we refer the reader to [25]) In practice, to avoid division by zero, the curvature term div is approximated by 2 jruj 2 , and the BV solution is obtained as the limit of smoother minimizers, as 0, as in [1] 25] This convention will be always made in this paper. Then, the function representing noise ....
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L. Vese, A study in the BV space of a denoising-deblurring variational problem, Applied Mathematics and Optimization, 44 (2), pp. 131-161, 2001.
On the Equivalence of Soft Wavelet Shrinkage.. - Steidl, Weickert, .. (2003) (1 citation) (Correct)
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L. Vese, A study in the BV space of a denoising--deblurring variational problem, Applied Mathematics and Optimization, 44 (2001), pp. 131-- 161.
Image restoration via PDE - Kornprobst, Deriche, Aubert (Correct)
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Vese L. A study in the BV space of a denoising-deblurring variational problem. Preprint no 439, Universit# de Nice Sophia-Antipolis, January 1996.
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