Author | Morel, Jean Michel. author |
---|---|
Title | Variational Methods in Image Segmentation [electronic resource] : with seven image processing experiments / by Jean Michel Morel, Sergio Solimini |
Imprint | Boston, MA : Birkhรคuser Boston, 1995 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-0567-5 |
Descript | XVI, 248 p. online resource |
I. Modelisation -- 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 -- II. Elements Of Geometric Measure Theory -- 6. Hausdorff measure -- 7. Covering lemmas in a metric space -- 8. Density properties -- 9. Tangency properties of regular subsets of ?N -- 10. Semicontinuity properties of Hausdorff measure -- 11. Rectiflable sets -- 12. Properties of regular and rectifiable sets -- III. Existence and Structural Properties of the Minimal Segmentations ror the Mumford-Shah Model -- 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 -- Bibliographical notes -- References References of Part I -- I-A) Image segmentation and edge detection, surveys and monographs. -- I-B) Articles proposing algorithms for edge detection and image segmentation. -- I-C) Scale space theory. -- I-D) Mathematical analysis related to scale space theory. -- I-E) Monographs in Image Processing. -- I-F) Articles on texture analysis and segmentation. -- I-G) Wavelets, theory and relation to image processing and scale space. -- I-H) Related topics in psychophysics, neurobiology and gestalt theory. -- References of Part II 232 -- II-A) References on geometric measure theory and rectifiability -- II-B) Monographs on mathematics and geometric measure theory. -- References of Part III:Mathematical analysis of the Mumford-Shah model -- Index of segmentation algorithms -- Notation