Extending anisotropic operators to recover smooth shapes

Computer Vision and Image Understanding

Volumn 99, Issue 1, 2005, Pages 110-125

  Gil, Debora ^a   Radeva, Petia ^a  

^a Campus UAB ^*  (Spain)

Author keywords

Contour completion; Differential operators; Functional extension; Riemmanian manifolds; Snake segmentation

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; IMAGE ENHANCEMENT; MATHEMATICAL OPERATORS; TENSORS; VECTOR QUANTIZATION;

CONTOUR COMPLETION; DIFFERENTIAL OPERATORS; FUNCTIONAL EXTENSION; REIMMANIAN MANIFOLDS; SNAKE SEGMENTATION;

ANISOTROPY;

EID: 18944378429     PISSN: 10773142     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cviu.2004.12.001     Document Type: Article

References (23)

1. A.M. López, D. Lloret, J. Serrat, and J.J. Villanueva Multilocal creaseness based on the level-set extrinsic curvature Comp. Vis. Image Understand. 77 2000 111 144
2. C. Ballester, M. Bertalmío, V. Caselles, G. Sapiro, and J. Verdera Filling-in by joint interpolation of vector fields and gray levels IEEE Trans. Image Process. 2001
3. V. Caselles, F. Catte, T. Coll, and F. Dibos A geometric model for active contours Numer. Math. 66 1993 1 31
4. V. Caselles, R. Kimmel, and G. Sapiro Geodesic active contours Int. J. Comp. Vision 22 1 1997 61 79
5. T. Chan, and J. Shen Non-texture inpaintings by curvature driven diffusions J. Vis. Commun. Image Rep. 12 4 2001 436 449
6. E.B. Davies, Heat Kernels and Spectral Theory, Cambridge Tracts. in Math. 92, Cambridge University Press, 1989
7. L.C. Evans Partial differential equations Berkeley Math. Lect. Notes. 3B 1993
8. D. Gil, P. Radeva, F. Vilariño, Anisotropic Contour Completion, ICIP, 2003
9. D. Gil, P. Radeva, Curvature vector flow to assure convergent deformable models, EMMCVP, 2003
10. D. Gil, Geometric Differential Operators for Shape Modelling. PhD Thesis, 2004, on-line document at Available from: < http://www.cvc.uab.es/~debora/ >
11. C. Grigorescu, N. Petkov, and M.A. Westenberg Contour perception based on non-classical receptive field inhibition IEEE Trans. Imag. Proc. 12 2003 7
12. L. Williams, D. Jacobs, Stochastic completion fields: a neural model of illusory contour shape and salience, ICCV' 95, 1995
13. B. Jähne Spatio-temporal image processing Lecture Notes in Comp. Science vol. 751 1993 Springer Berlin
14. G. Kanizsa Organization in Vision: Essays in Gestalt Continuation 1979 Praeger New York
15. M. Kass, A. Witkin, and D. Terzopoulos Snakes: active contour models J. Comp. Vision 1 1987 321 331
16. S. Lang, Linear Algebra, second ed., Addison Wesley, 1971
17. S. Masnou, J.M. Morel, Level Lines Based Disocclusion, in: Proc. IEEE Int. Conf. on Image Process. Chicago IL, 1998, pp. 259-263
18. M. Nitzberg, D. Mumford, and T. Shiota Filtering Segmentation and Depth 1993 Springer-Verlag Berlin
19. N. Paragios, O. Mellina-Gottardo, and V. Ramesh Gradient vector flow fast geodesic active contours IEEE ICCV vol. I 2001 Vancouver Canada
20. J.A. Sethian Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Material Sciences 1996 Cambridge University Press
21. M. Spivak A Comprehensive Introduction to Differential Geometry 1979 Publish or Perish cop. Houston
22. C. Xu, and J.L. Prince Generalized gradient vector flow external forces for active contours Signal Process. An Int. J. 71 2 1998 132 139
23. J. Weickert, Anisotropic Diffusion in Image Processing, PhD Thesis, 1996