Variational methods in image segmentation : with seven image processing experiments /

Bibliographic Details
Main Author:	Morel, Jean-Michel, 1953-
Corporate Author:	SpringerLink (Online service)
Other Authors:	Solimini, Sergio, 1956-
Format:	eBook
Language:	English
Published:	Boston : Birkhäuser, [1995]
Series:	Progress in nonlinear differential equations and their applications ; v. 14.
Subjects:	Image processing > Digital techniques > Mathematics. Geometric measure theory. Images, traitement des > Techniques numériques > Mathématiques. Mesure géométrique, théorie de la. Bildsegmentierung. Variationsrechnung. Geometrische Ma€theorie. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. Edge detection and segmentation
2. Linear and nonlinear multiscale filtering
3. Region and edge growing methods
4. Variational theories of segmentation
5. The piecewise constant Mumford-Shah model: mathematical analysis
6. Hausdorff measure
7. Covering lemmas in a metric space
8. Density properties
9. Tangency properties of regular subsets of R[superscript N]
10. Semicontinuity properties of Hausdorff measure
11. Rectifiable sets
12. Properties of regular and rectifiable sets
13. Properties of the approximating image in the Mumford-Shah model
14. Small oscillation coverings and the excision method
15. Density properties and existence theory for the Mumford-Shah minimizers
16. Further properties of the minimizers: covering the edge set with a single curve
Index of segmentation algorithms.