Applied multiphase level set function in image segmentation

• Autorzy: Rymarczyk T. , Filipowicz S.F. , Sikora J.
• Języki publikacji: EN

Abstrakty

EN

The application of the level set function for the image segmentation was presented in this paper. The image segmentation refers to the process of partitioning a digital image into multiple regions. There is typically used to locate objects and boundaries in images. The level set method is a powerful tool for representing moving or stationary interfaces. There was used the idea of the variational formulation for geometric active contours. There was used to minimization problem in image processing to compute piecewise-smooth optimal approximations of the given image. The proposed algorithm has been applied to real pictures with promising results in the image segmentation.

Słowa kluczowe

EN

image segmentation; level set method; Mumford-Shah functional

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Computer Applications in Electrical Engineering
• Rocznik: 2010
• Tom: Vol. 8
• Strony: 26--37
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Rymarczyk T.

• Electrical Engineering Institute 04-703 Warszawa, ul. Pożarskiego 28

autor

Filipowicz S.F.

• Electrical Engineering Institute 04-703 Warszawa, ul. Pożarskiego 28

autor

Sikora J.

• Electrical Engineering Institute 04-703 Warszawa, ul. Pożarskiego 28

Bibliografia

• [1] Rymarczyk T., Filipowicz S.F., Sikora J., Tymburski M.: Variational Level Set Methods in the Roentgen Images Segmentation. COMPUMAG 2009, Florianópolis, Brasil, November 22-26, 2009.
• [2] Li C., Xu C., Gui C., and M. D. Fox., “Level set evolution without re-initialization: A new variational formulation”, In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), volume 1, pages 430-436, 2005.
• [3] Mumford D., Shah J.: Optimal approximation by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math., (42):577-685, 1989.
• [4] Osher S., Fedkiw R.: Level Set Methods and Dynamic Implicit Surfaces. Springer, New York 2003.
• [5] Osher S., Sethian J.A.: Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations. J. Comput. Phys. 79, 12-49, 1988.
• [6] Osher, S., Fedkiw, R.: Level Set Methods: An Overview and Some Recent Results. J. Comput. Phys. 169, 463-502, 2001.
• [7] Osher S., Santosa F.: Level set methods for optimization problems involving geometry and constraints. Frequencies of a two-density inhomogeneous drum. Journal of Computational Physics, 171, pp. 272-288, 2001.
• [8] Sethian J.A.: Level Set Methods and Fast Marching Methods. Cambridge Univeristy Press 1999.
• [9] Vese L. Chan T.: A new multiphase level set framework for image segmentation via the Mumford and Shah model. CAM Report 01-25, UCLA Math. Dept., 2001.