期刊文献+

Active Contours and Mumford-Shah Segmentation Based on Level Sets

Active Contours and Mumford-Shah Segmentation Based on Level Sets
下载PDF
导出
摘要 This paper is to detect regions (objects) boundaries, also to isolate and extract individual components from a medical image. This can be done using an active contours to detect regions in a given image, based on techniques of curve evolution, Mumford Shah functional for segmentation and level sets. The paper classified the images into different intensity regions based on Markov random field, then detected regions whose boundaries are not necessarily defined by gradient by minimizing an energy of Mumford Shah functional for segmentation which can be seen as a particular case of the minimal partition problem. In the level set formulation, the problem becomes a mean curvature flow like evolving the active contour, which will stop on the desired boundary. The stopping term does not depend on the gradient of the image, as in the classical active contour and the initial curve of level set can be anywhere in the image, and interior contours are automatically detected. The final image segmentation is one closed boundary per actual region in the image. This paper is to detect regions (objects) boundaries, also to isolate and extract individual components from a medical image. This can be done using an active contours to detect regions in a given image, based on techniques of curve evolution, Mumford Shah functional for segmentation and level sets. The paper classified the images into different intensity regions based on Markov random field, then detected regions whose boundaries are not necessarily defined by gradient by minimizing an energy of Mumford Shah functional for segmentation which can be seen as a particular case of the minimal partition problem. In the level set formulation, the problem becomes a mean curvature flow like evolving the active contour, which will stop on the desired boundary. The stopping term does not depend on the gradient of the image, as in the classical active contour and the initial curve of level set can be anywhere in the image, and interior contours are automatically detected. The final image segmentation is one closed boundary per actual region in the image.
出处 《Journal of Shanghai Jiaotong university(Science)》 EI 2003年第1期48-53,共6页 上海交通大学学报(英文版)
关键词 active counters level set methods SEGMENTATION energy minimization shape recovery Markov random field 水平集方法 有效计算 Mumford-Shah分割 随机过程 马尔可夫过程 Markov 图像分割 图像处理
  • 相关文献

参考文献11

  • 1Malladi R;sethian J A;Vemuri B.Shape modeling with front propagation: A level set approach[J],1995(02).
  • 2Setbian J A.Level set methods and fast marching methods evolving interfaces in computational geometry,1999.
  • 3Mumford D;Shah J.Boundary detection by minimiz ing functionals,1985.
  • 4Mumford D;Shah J.Optimal approximation by piecewise smoothfunctions and associated variational problems,1989.
  • 5Nikos K;Paragios N K.Geodesic active regions and level set methods: Contributions and aplications in artificialvision,2000.
  • 6Osher S;Serbian J A.Fronts propagating with cur vature-dependent speed: Algorithms based on Hamilton-Jacobi formulation[J],1988.
  • 7Caselles V;Kimmel R;Sapiro G.On geodesic active contours,1997(01).
  • 8Malladi R;Sethian J A;Vemuri B C.A topology in dependent shape modeling scheme,1993.
  • 9Caselles V;Catte F;Coll T.A geometric model for active contours in image processing,1993.
  • 10Kass M;Witkin A;Terzopoulos D.Snakes: Active contour models[J],1988.

二级参考文献15

  • 1王永学.无反射造波数值波浪水槽[J].水动力学研究与进展(A辑),1994,9(2):205-214. 被引量:59
  • 2马福喜,牛文臣,孙东坡.三维水流河床变形数学模型[J].水动力学研究与进展(A辑),1996,11(3):241-250. 被引量:4
  • 3ENRIGHT D. FEDKIW R. FERZIGER J. et al. A hybrid Particle Level Set method for improved interface capturing[J]. Journal of Computational Physics,2002. 183: 83-116.
  • 4SHI Jing, ZHANG Yong-tao, SHU Chi-wang. Resolution of high order WENP schemes for complicated flow structures[J]. Journal of Computational Physics,2003, 186: 690-696.
  • 5SALMAN N, LIU Chong-qing. Active contours and mumford-shah segmentation based on Level Sets[J].Journal of Shanghai Jiaotong University. 2003. (1):48-53.
  • 6OSHER S,SETHAIN J A.Fronts propagating with curvature dependent speed: algorithms based on Hamil ton Jacohi formulations[J]. J. Comp. Phys., 1988, 79,12-49.
  • 7LIN P, LIU P L-F. Free Surface Tracking Methods and Their Applications to Wave Hydrodynamics[A].Philip L-F. Liu. Advances in Coastal and Ocean Engineering[M]. Volume 5. Singapore NewJersey London HongKong. World Scientific. 1999. 213-240.
  • 8LIN Peng-zhi, LIU P L-F. A numerical study of breaking waves in the surf zonep[J]. J. Fluid Mech. ,1998, 359: 239-264.
  • 9Berthelsen PA. A Short Introduction to the level Set Method and Incompressible Two-Phase Flow, A Computational Approach[R]. Department of Applied Mechanics, Thermodynamics and Fluid Dynamics Norwegian University of Science and Technology. 2002.
  • 10LIU P L-F. LIN Peng-zhi, CHANG Kuang-an et al.Numerical model of wave interaction with porous structures[J]. Journal of Waterway, Port, Coastal,and Ocean Engineering, 1999, ( Nov./Dec. ): 322-3.30.

共引文献16

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部