Multi-reference shape priors for active contours

International Journal of Computer Vision

Volumn 81, Issue 1, 2009, Pages 68-81

  Foulonneau, Alban ^a   Charbonnier, Pierre ^a   Heitz, Fabrice ^b  

^a ERA 27 LCPC   (France)

^b UNIVERSITÉ DE STRASBOURG   (France)

Author keywords

Active contours; Geometric invariance; Legendre moments; Multi reference model; Region based approach; Segmentation; Shape constraint; Shape derivative

Indexed keywords

CONTROL THEORY; EVOLUTIONARY ALGORITHMS; TOPOLOGY;

ACTIVE CONTOURS; GEOMETRIC INVARIANCE; LEGENDRE MOMENTS; MULTI-REFERENCE MODEL; REGION-BASED APPROACH; SEGMENTATION; SHAPE CONSTRAINT; SHAPE DERIVATIVE;

IMAGE SEGMENTATION;

EID: 58049180107     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-008-0163-3     Document Type: Article

References (33)

1. G. Aubert M. Barlaud O. Faugeras S. Jehan-Besson 2003 Image segmentation using active contours: calculus of variations or shape gradients? SIAM Journal on Applied Mathematics 63 6 2128 2154
2. X. Bresson P. Vandergheynst J. P. Thiran 2006 A variational model for object segmentation using boundary information and shape prior driven by the Mumford-Shah functional International Journal of Computer Vision 68 2 145 162
3. T. Chan L. Vese 2001 Active contours without edges IEEE Transactions on Image Processing 10 2 266 277
4. Y. Chen H. Tagare S. Thiruvenkadam F. Huang D. Wilson K. Gopinath R. Briggs E. Geiser 2002 Using prior shapes in geometric active contours in a variational framework International Journal of Computer Vision 50 3 315 328
5. T. Cootes D. Cooper C. Taylor J. Graham 1995 Active shape models-their training and application Computer Vision and Image Understanding 61 1 38 59
6. D. Cremers T. Kohlberger C. Schnörr 2003 Shape statistics in kernel space for variational image segmentation Pattern Recognition 36 9 1929 1943 Special Issue on Kernel and Subspace Methods in Computer Vision
7. D. Cremers F. Tischhäuser J. Weickert C. Schnörr 2002 Diffusion snakes: Introducing statistical shape knowledge into the Mumford-Shah functional International Journal of Computer Vision 50 3 295 313
8. D. Cremers S. J. Osher S. Soatto 2006 Kernel density estimation and intrinsic alignment for shape priors in level set segmentation International Journal of Computer Vision 69 3 335 351
9. D. Cremers N. Sochen C. Schnörr 2006 A multiphase dynamic labeling model for variational recognition-driven image segmentation International Journal of Computer Vision 66 1 67 81
10. Foulonneau, A. (2004). A contribution to the introduction of geometric shape constraints in region-based active contours (in French). PhD thesis, University Louis Pasteur, Strasbourg I. Available online: http://lsiit-miv.u- strasbg.fr/lsiit/perso/Charbonnier.htm.
11. Foulonneau, A., Charbonnier, P., & Heitz, F. (2003). Geometric shape priors for region-based active contours. In Proc. of IEEE conference on image processing (Vol. 3., pp. 413-416). Barcelona, Spain.
12. A. Foulonneau P. Charbonnier F. Heitz 2006 Affine-invariant geometric shape priors for region-based active contours IEEE Transactions On Pattern Analysis and Machine Intelligence 28 8 1352 1357
13. Foulonneau, A., Charbonnier, P., & Heitz, F. (2006b). Affine-invariant multi-reference shape priors for active contours. In LNCS : Vol. 3952. Computer Vision-ECCV 2006 (pp. 601-613). Berlin: Springer.
14. Foulonneau, A., Charbonnier, P., & Heitz, F. (2008). Multi-reference affine-invariant geometric shape priors for region-based active contours (Technical Report RR-AF01-08). LRPC ERA 27 LCPC/LSIIT UMR 7005 CNRS. Available online: http://lsiit.u-strasbg.fr/Publications/2008/FCH08/RR-AF01-08.pdf.
15. Gastaud, M., Aubert, G., & Barlaud, M. (2003). Tracking video objects using active contours and geometric priors (Technical Report RR-2003-07-FR, I3S). Nice-Sophia Antipolis, France.
16. S. Joshi W. Mio A. Srivastava X. Liu 2005 Statistical shape analysis: Clustering, learning, and testing IEEE Transactions on Pattern Analysis and Machine Intelligence 27 4 590 602
17. Leventon, M., Grimson, W., & Faugeras, O. (2000). Statistical shape influence in geodesic active contours. In Proc. of IEEE conference on computer vision and pattern recognition (pp. 1316-1323). Hilton Head Island, Southern Carolina, USA.
18. S. Liao M. Pawlak 1996 On image analysis by moments IEEE Transactions on Pattern Analysis and Machine Intelligence 18 3 254 266
19. A. Mansouri D. Mukherjee S. Acton 2004 Constraining active contour evolution via Lie groups of transformation IEEE Transactions on Image Processing 13 6 853 863
20. Mukundan, R., & Ramakrishnan, K. (1998). Moments functions in image analysis-theory and applications. Singapore: World Scientific. ISBN 981-02-3524-0.
21. S. Osher J. Sethian 1988 Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations Journal of Computational Physics 79 1 12 49
22. S. Pei C. Lin 1995 Image normalization for pattern recognition Image and Vision Computing 13 10 711 723
23. F. Precioso M. Barlaud 2002 B-spline active contour with handling of topology changes for fast video segmentation Eurasip Journal on Applied Signal Processing 2002 6 555 560 Special issue: image analysis for multimedia interactive services-PART II
24. Riklin-Raviv, T., Kiryati, N., & Sochen, N. (2004). Unlevel-sets: geometry and prior-based segmentation. In Lecture notes in computer science: Vol. 3024. Proc. of the 8th European conference on computer vision (pp. 50-61). Prague, Czech Republic.
25. Rousson, M., & Paragios, N. (2002). Shape priors for level set representations. In Lecture notes in computer science: Vol. 2351. Proc. of 7th European conference on computer vision (pp. 78-93). Copenhagen, Denmark.
26. L. Staib J. Duncan 1992 Boundary finding with parametrically deformable models IEEE Transactions on Pattern Analysis and Machine Intelligence 14 11 1061 1075
27. G. Székely A. Kelemen C. Brechbüler G. Gerig 1996 Segmentation of 2D and 3D objects from MRI volume data using constrained elastic deformations of flexible Fourier surface models Medical Image Analysis 1 1 19 34
28. G. Talenti 1987 Recovering a function from a finite number of moments Inverse Problems 3 501 517
29. M. Teague 1980 Image analysis via the general theory of moments Journal of the Optical Society of America 70 8 920 930
30. D. Terzopoulos D. Metaxas 1991 Dynamic 3D models with local and global deformations: Deformable superquadrics IEEE Transactions on Pattern Analysis and Machine Intelligence 13 7 703 714
31. A. Tsai A. Yezzi W. Wells C. Tempany D. Tucker A. Fan W. Grimson A. Willsky 2003 A shape-based approach to the segmentation of medical imagery using level sets IEEE Transactions on Medical Imaging 22 2 137 154
32. G. Unal H. Krim A. Yezzi 2002 Stochastic differential equations and geometric flows IEEE Transactions on Image Processing 11 12 1405 1416
33. Zhang, T., & Freedman, D. (2003). Tracking objects using density matching and shape priors. In Proc. of 9th IEEE international conference on computer vision (pp. 1056-1062). Nice, France.