Image segmentation with Partial Differential Equations

Information Technology Journal

Volumn 9, Issue 5, 2010, Pages 1049-1052

  Zhou, Bin ^a   Yang, Xiao Lin ^b   Liu, Rui ^b   Wei, Wei ^c  

^a XI'AN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CHENGDU UNIVERSITY OF TECHNOLOGY   (China)

^c XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Image segmentation; Level set method; Partial differential equation

Indexed keywords

NUMERICAL METHODS; OBJECT DETECTION; PARTIAL DIFFERENTIAL EQUATIONS;

ARTIFICIAL PARAMETERS; LEVEL SET METHOD; PARTIAL DIFFERENTIAL EQUATIONS (PDES); PHYSICAL PHENOMENA; STATISTIC THEORY;

IMAGE SEGMENTATION;

EID: 77953079104     PISSN: 18125638     EISSN: 18125646     Source Type: Journal    
DOI: 10.3923/itj.2010.1049.1052     Document Type: Article

References (17)

1. Caselles, V., R. Kimmel and G. Sapiro, 1997. Geodesic active contours. Int. J. Comput. Vision, 22: 61-79.
2. Chan, T. and L. Vese, 2001. Active contours without edges. IEEE Trans. Imag. Proc., 10: 266-277.
3. Gonzalez, R.C. and R.E. Woods, 2002. Digital Image Processing. Pearson Education Inc., Upper Saddle River, NJ.
4. Han, X., C. Xu and J.L. Prince, 2003. A topology preserving level set method for geometric deformable models. IEEE Trans. Pattern Anal. Machine Intell., 25: 755-768.
5. Jahne, B., 2002. Digital Image Processing. Springer, Heidelberg.
6. Kass, M., A. Witkin and D. Terzopoulos, 1987. Snakes active contour models. Int. J. Comp. Vision 1: 321-331.
7. Li, C., C. Xu, Y, C. Gui and M.D.F. Fox, 2005. Level set evolution without re-initialization: A new variational formulation. Proceedings of IEEE International Conference on Computer Vision and Pattern Recognition, Jun. 20-26, Washington, DC., USA., pp: 430-436.
8. Morel, J.M. and S. Solimini, 1995. Variational methods in image segmentation. Prog. Nonlinear Differential Equations Appl., 14: 245-245.
9. Mumford D. and I. Shah, 1989. Optimal approximation by piecewise smooth functions and associated variational problems. Commun. Pure Applied Math., 42: 577-685.
10. Osher, S. and I.A. Sethian, 1988. Fronts propagating with curvature dependent speed: Algorithms based on hamilton-jacobi formulation. J. Comput. Phys., 79: 12-49.
11. Osher, S. and R. Fedkiw, 2003. Level Set Methods and Dynamic Implicit Surfaces. Springer, New York.
12. Renka, R.J., 2009. Image segmentation with a Sobolev gradient method. Nonlinear Anal. TMA, 71: 774-780.
13. Russ, J.C., 2003. The Image Processing Handbook. CRC Press, USA.
14. Sleigh, A.C., 1986. The extraction of boundaries using local measures driven by rules. Pattern Recognition Lett., 4: 247-258.
15. Tian, Y. and C.L. Mu, 2009. Extiction of viscous Hamiltion-Jacobi equations. J. Sichuan Univ., 46: 15-20.
16. Xu, C.Y. and J.L. Prince, 1998. Snakes shapes and gradient vector flow. IEEE Trans. Image Process., 7: 359-369.
17. Zhou, B. and C.L. Mu, 2010. Level set evolution for boundary extraction based on a p-Laplace equation. Applied Math. Modelling, 10.1016/j.apm.2010.04. 003.