Riemannian drums, anisotropic curve evolution and segmentation

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1682, Issue , 1999, Pages 129-140

  Shah, Jayant ^a  

^a NORTHEASTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; EIGENVALUES AND EIGENFUNCTIONS; SHAPE OPTIMIZATION;

APPROXIMATE METHODS; CURVE EVOLUTION; EIGENVALUE PROBLEM; GEODESIC FLOW; INITIAL CURVE; RIEMANNIAN MANIFOLD; SHAPE BOUNDARIES; SHAPE RECOVERY;

COMPUTER VISION;

EID: 22844453797     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-48236-9_12     Document Type: Conference Paper

References (18)

1. G. Bellettini and M. Paolini: "Anisotropic Motion by Mean Curvature in the Context of Finsler Geometry", Tech. Report, Universita Degli Studi di Milano, (1994).
2. V. Caselles, F. Catte, T. Coll and F. Dibos: "A Geometric Model for Active Contours", Numerische Mathematik 66, (1993).
3. V. Caselles, R. Kimmel and G. Sapiro: "Geodesic Active Contours", Fifth International Conference on Computer Vision, (1995).
4. J. Cheeger: “A Lower Bound for the Smallest Eigenvalue of the Laplacian”, in Problems in Analysis, Ed: R.C. Gunning, Princeton University Press, (1970).
5. Golub and Van Loan: Matrix Computation, John Hopkins University Press, (1989).
6. M. Kass, A. Witkin and D. Terzopoulos: "Snakes: Active Contour Models", International J. of Computer Vision, v.1, (1988).
7. S. Kichenassamy, A. Kumar, P. Olver, A. Tannenbaum and A. Yezzi: "Gradient Flows and Geometric Active Contour Models", Fifth International Conference on Computer Vision, (1995).
8. R. Malladi, J.A. Sethian and B.C. Vemuri: "Shape Modeling with Front Propagation: A Level Set Approach", IEEE-PAMI 17, (1995).
9. R. Merris: “Laplacian Matrices of Graphs: A Survey”, Linear Algebra and its Applications 197,198, (1994).
10. B. Mohar: “Laplace Eigenvalues of Graphs — A Survey”, Discrete Math. 109, (1992).
11. D. Mumford and J. Shah: “Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems”, Comm. on Pure and Appl. Math, v.XLII, n.5, pp.577–684, (July, 1989).
12. S. Osher and J. Sethian: "Fronts Propagating with Curvature Dependent Speed: Algorithms based on the Hamilton-Jacobi Formulation", J. Comp. Physics, 79, (1988).
13. J. Sethian: “Numerical Algorithms for Propagating Interfaces”, J. of Diff. Geom. v.31, (1990).
14. J. Shah: "Shape Recovery from Noisy Images by Curve Evolution", IASTED International Conference on Signal and Image Processing, (1995).
15. J. Shah: “A Common Framework for Curve Evolution, Segmentation and Anisotropic Diffusion”, IEEE Conference on Computer Vision and Pattern Re:cogntion, June, 1996.
16. J. Shah: “Segmentation as a Riemannian Drum problem”, IEEE International Conference on Image Processing, October, 1998.
17. J. Shi and J. Malik: "Normalized Cuts and Image Segmentation", IEEE Conf. on Computer Vision and Pattern Recognition, (1997).
18. H. Tek and B.B. Kimia: "Image Segmentation by Reaction-Diffusion Bubbles", Fifth International Conference on Computer Vision, (1995).