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by Lionel Moisan, Jean-michel Morel
Journal of Mathematical Imaging and Vision
http://www.cmla.ens-cachan.fr/Utilisateurs/moisan/papers/jmiv01.ps.gz
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Abstract:
We apply to edge detection a recently introduced method for computing geometric structures in a digital image, without any a priori information. According to a basic principle of perception due to Helmholtz, an observed geometric structure is perceptually \meaningful " if its number of occurences would be very small in a random situation: in this context, geometric structures are characterized as large deviations from randomness. This leads us to dene and compute edges and boundaries (closed edges) in an image by a parameter-free method. Maximal detectable boundaries and edges are dened, computed, and the results compared with the ones obtained by classical algorithms.
Citations
|
4364
|
Elements of Information Theory
– Cover, Thomas
- 1991
|
|
2322
|
Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images
– Geman, Geman
- 1984
|
|
1943
|
Snakes: Active contour models
– Kass, Witkin, et al.
- 1987
|
|
1662
|
A computational approach to edge detection
– Canny
- 1986
|
|
358
|
Perceptual Organization and Visual Recognition
– Lowe
- 1985
|
|
280
|
A universal prior for integers and estimation by minimum description length
– Rissanen
- 1983
|
|
183
|
Image Segmentation Techniques
– Haralick, Shapiro
|
|
155
|
Using canny's criteria to derive a recursively implemented optimal edge detector
– Deriche
- 1987
|
|
155
|
Boundary Detection by Minimizing Functionals
– Mumford, Shah
- 1985
|
|
153
|
Pattern Classi and Scene Analysis
– Duda, Hart
- 1973
|
|
125
|
Trace inference, curvature consistency and curve detection
– Parent, Zucker
- 1989
|
|
73
|
On the role of structure in vision
– Witkin, Tenenbaum
- 1983
|
|
57
|
A survey on image segmentation
– Fu, Mei
- 1981
|
|
47
|
A survey of edge detection techniques
– Davis
- 1976
|
|
38
|
Untersuchungen zur Lehre der Gestalt
– Wertheimer
- 1923
|
|
22
|
A Kanizsa programme
– Caselles, Coll, et al.
- 1996
|
|
16
|
Edge detection using heuristic search methods
– Martelli
- 1972
|
|
15
|
Entropic Thresholding, A New Approach
– Pun
- 1981
|
|
12
|
Gesetze des Sehens
– Metzger
- 1975
|
|
7
|
Maximal meaningful events and applications to image analysis
– Desolneux, Moisan, et al.
- 2000
|
|
5
|
The statistics of natural images. Network : computation in neural systems
– Ruderman
- 1994
|
|
4
|
La Grammaire du Voir, Editions Diderot, arts et sciences
– Kanizsa
- 1997
|
|
4
|
Représentation morphologique d'images numériques et application au recalage. Thèse de doctorat, Université Paris 9 Dauphine
– Monasse
- 2000
|
|
3
|
A survey of threshold selection techniques. Comp. Graphics and Image processing 7
– Weszka
- 1978
|
|
2
|
Automatic thresholding of gray-level pictures using two-dimensional entropy
– Abutaled
- 1989
|
