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Author
Debora Gil; Petia Radeva
Title
Shape Restoration via a Regularized Curvature Flow
Type
Journal Article
Year
2004
Publication
Journal of Mathematical Imaging and Vision
Abbreviated Journal
Volume
21
Issue
3
Pages
205-223
Keywords
Abstract
Any image filtering operator designed for automatic shape restoration should satisfy robustness (whatever the nature and degree of noise is) as well as non-trivial smooth asymptotic behavior. Moreover, a stopping criterion should be determined by characteristics of the evolved image rather than dependent on the number of iterations. Among the several PDE based techniques, curvature flows appear to be highly reliable for strongly noisy images compared to image diffusion processes.
In the present paper, we introduce a regularized curvature flow (RCF) that admits non-trivial steady states. It is based on a measure of the local curve smoothness that takes into account regularity of the curve curvature and serves as stopping term in the mean curvature flow. We prove that this measure decreases over the orbits of RCF, which endows the method with a natural stop criterion in terms of the magnitude of this measure. Further, in its discrete version it produces steady states consisting of piece-wise regular curves. Numerical experiments made on synthetic shapes corrupted with different kinds of noise show the abilities and limitations of each of the current geometric flows and the benefits of RCF. Finally, we present results on real images that illustrate the usefulness of the present approach in practical applications.
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Notes
IAM;MILAB
Approved
no
Call Number
IAM @ iam @ GiR2004c
Serial
1532
Permanent link to this record
Author
Ole Larsen; Petia Radeva; Enric Marti
Title
Bounds on the optimal elasticity parameters for a snake
Type
Journal Article
Year
1995
Publication
Image Analysis and Processing
Abbreviated Journal
Volume
Issue
Pages
37-42
Keywords
Abstract
This paper develops a formalism by which an estimate for the upper and lower bounds for the elasticity parameters for a snake can be obtained. Objects different in size and shape give rise to different bounds. The bounds can be obtained based on an analysis of the shape of the object of interest. Experiments on synthetic images show a good correlation between the estimated behaviour of the snake and the one actually observed. Experiments on real X-ray images show that the parameters for optimal segmentation lie within the estimated bounds.
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Notes
MILAB;IAM
Approved
no
Call Number
IAM @ iam @ LRM1995a
Serial
1559
Permanent link to this record
Author
Josep Llados; Enric Marti
Title
A graph-edit algorithm for hand-drawn graphical document recognition and their automatic introduction into CAD systems
Type
Journal Article
Year
1999
Publication
Machine Graphics & Vision
Abbreviated Journal
Volume
8
Issue
Pages
195-211
Keywords
Abstract
Address
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Place of Publication
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Summary Language
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Series Editor
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ISBN
Medium
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Conference
Notes
DAG;IAM;
Approved
no
Call Number
IAM @ iam @ LIM1999
Serial
1568
Permanent link to this record
Author
Josep Llados; Enric Marti
Title
Graph-edit algorithms for hand-drawn graphical document recognition and their automatic introduction
Type
Journal Article
Year
1999
Publication
Machine Graphics & Vision journal, special issue on Graph transformation
Abbreviated Journal
Volume
Issue
Pages
Keywords
Abstract
Address
Corporate Author
Thesis
Publisher
Place of Publication
Editor
Language
Summary Language
Original Title
Series Editor
Series Title
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Series Issue
Edition
ISSN
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Medium
Area
Expedition
Conference
Notes
DAG;IAM
Approved
no
Call Number
IAM @ iam @ LIM1999c
Serial
1569
Permanent link to this record
Author
Josep Llados; Ernest Valveny; Enric Marti
Title
Symbol Recognition in Document Image Analysis: Methods and Challenges
Type
Journal Article
Year
2000
Publication
Recent Research Developments in Pattern Recognition, Transworld Research Network,
Abbreviated Journal
Volume
1
Issue
Pages
151–178.
Keywords
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ISBN
81-86846-61-1
Medium
Area
Expedition
Conference
Notes
DAG;IAM
Approved
no
Call Number
IAM @ iam @ LVM2000
Serial
1575
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