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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 11: Functional theoretic methods, wavelets and applied PDEs on the occasion of Professor Wei Lin’s 80th Birthday and the 30th anniversary of Robert Gilbert visiting China. Guest editors Daoqing Dai, Yuqiu Zhao and Yongzhi Steve Xu
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Articles

A novel adaptive partial differential equation model for image segmentation

Bo ChenCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen, P.R. China.;Shenzhen Key Laboratory of Media Security, Shenzhen, P.R. China.
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Qing-Hua ZouCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen, P.R. China.;Shenzhen Key Laboratory of Media Security, Shenzhen, P.R. China.
,
Wen-Sheng ChenCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen, P.R. China.;Shenzhen Key Laboratory of Media Security, Shenzhen, P.R. China.Correspondence[email protected]
&
Bin-Bin PanCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen, P.R. China.;Shenzhen Key Laboratory of Media Security, Shenzhen, P.R. China.
Pages 2440-2450 | Received 18 Mar 2014, Accepted 16 Jul 2014, Published online: 14 Aug 2014

References

  • Ma J, Huang J, Zhang H, Feng Q, Lu H, Liang Z, Chen W. Low-dose computed tomography image restoration using previous normal-dose scan. Med. Phys. 2011;38:5713–5731.
  • Caselles V, Catte F, Coll T. A geometric model for active contours in image processing. Numer. Math. 1993;66:1–31.
  • Caselles V, Kimmel R, Sapiro G. Geodesic active contours. Int. J Comput Vis. 1997;22:61–79.
  • Paragios N, M-Gottardo O, Ramesh V. Gradient vector flow fast geometric active contours. IEEE Trans. Pattern Anal. Mach. Intell. 2004;26:402–407.
  • Chen B, Chen W. Noisy image segmentation based on wavelet transform and active contour model. Applicable Anal. 2011;90:1243–1255.
  • Chan T, Vese L. Active contours without edges. IEEE Trans. Image Process. 2001;10:266–277.
  • Chen B, Li Y, Cai J. Noisy image segmentation based on nonlinear diffusion equation model. Appl. Math. Model. 2012;36:1197–1208.
  • Li C, Kao C, Gore J, Ding Z. Implicit active contours driven by local binary fitting energy. Proceedings of IEEE Conference on Computer Vision and Pattern Recognition. Nashville (TN): Vanderbilt University; 2007. p. 1–7.
  • TranHoTruc P, Kim T, Lee S, Lee Y. Homogeneity- and density distance-driven active contours for medical image segmentation. Comput. Biol. Med. 2011;41:292–301.
  • Zhang K, Zhang L, Song H, Zhou W. Active contours with selective local or global segmentation: a new formulation and level set method. Image Vis. Comput. 2010;28:668–676.
  • Chen B, Zou, Q, Chen W, Li Y. A fast region-based segmentation model with Gaussian Kernel of fractional order. Adv. Math. Phys. 2013;2013:7 pages. Article ID 501628.
  • Ma J, Zhang H, Gao Y, Huang J, Liang Z, Feng Q, Chen W. Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior. Phys. Med. Biol. 2012;57:7519–7542.
  • Tran T, Pham V, Chiu Y, Shyu K. Active contour with selective local or global segmentation for intensity inhomogeneous image. Proceedings of the 3rd IEEE International Conference on Computer Science and Information Technology. Chengdu, China: IEEE; 2010. p. 306–310.
  • Mumford D, Shah J. Optimal approximation by piecewise smooth function and associated variational problems. Commun. Pure Appl. Math. 1989;42:577–685.
  • Osher S, Fedkiw R. Level set methods and dynamic implicit surfaces. New York (NY): Springer Verlag; 2002.
  • Shi Y, Karl W. Real-time tracking using level sets. IEEE conf. Comput. Vis. Pattern Recogn. 2005;2:34–41.
  • Perona P, Malik J. Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 1990;12:629–639.
  • Wang L, Li C, Sun Q, Xia D, Kao C. Active contours driven by local and global intensity fitting energy with application to brain MR image segmentation. Comput. Med. Imag. Graph. 2009;33:520–531.

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