Active Contours Using Harmonic Global Division Function
This paper presents the region-based active contours method based on the harmonic global signed pressure force (HGSPF) function. The proposed formulation improves the performance of the level set method by utilizing intensity information based on the global division function, which has the ability to segment out regions with higher intensity differences. The new energy utilizes harmonic intensity, which can better preserve the low contrast details and can segment complicated areas easily. A Gaussian kernel is adjusted to regularize level set and to escape an expensive reinitialization. Finally, a set of real and synthetic images are used for validation of the proposed method. Results demonstrate the performance of the proposed method, the accuracy values are compared to previous state-of-the-art methods.
Keywords:image segmentation, active contours, HGSPF function
S. Soomro, K. N. Choi, “Active Contours Based on An Anisotropic Diffusion”, Digital Image Computing: Techniques and Applications, Canberra, Australia, December 10-13, 2018 DOI: https://doi.org/10.1109/DICTA.2018.8615767
B. W. Hong, B. S. Sohn, “Segmentation of regions of interest in mammograms in a topographic approach”, IEEE Transactions on Information Technology in Biomedicine, Vol. 14, No. 1, pp. 129-139, 2010 DOI: https://doi.org/10.1109/TITB.2009.2033269
M. Kass, A. Witkin, D. Terzopoulos, “Snakes: Active contour models”, International Journal of Computer Vision, Vol. 1, No. 4, pp. 321-331, 1988 DOI: https://doi.org/10.1007/BF00133570
C. Li, C. Xu, C. Gui, M. D. Fox, “Level Set Evolution Without Re-Initialization: A New Variational Formulation”, IEEE Computer Society Conference on Computer Vision and Pattern Recognition, San Diego, USA, June 20-25, 2005
V. Caselles, R. Kimmel, G. Sapiro, “Geodesic Active Contours”, International Conference on Computer Vision, Cambridge, USA, June 20-23, 1995
Y. Liu, G. Captur, J. C. Moon, S. Guo, X. Yang, S. Zhang, C. Li, “Distance regularized two level sets for segmentation of left and right ventricles from cine-MRI”, Magnetic Resonance Imaging, Vol. 34, No. 5, pp. 699-706, 2016 DOI: https://doi.org/10.1016/j.mri.2015.12.027
K. Zhang, L. Zhang, H. Song, W. Zhou, “Active contours with selective local or global segmentation: A new formulation and level set method”, Image and Vision Computing, Vol. 28, No. 4, pp. 668-676, 2010 DOI: https://doi.org/10.1016/j.imavis.2009.10.009
H. Min, W. Jia, X. F. Wang, Y. Zhao, R. X. Hu, Y. T. Luo, F. Xue, J. T. Lu, “An intensity-texture model based level set method for image segmentation”, Pattern Recognition, Vol. 48, No. 4, pp. 1547-1562, 2015 DOI: https://doi.org/10.1016/j.patcog.2014.10.018
T. F. Chan, L. A. Vese, “Active contours without edges”, IEEE Transactions on Image Processing, Vol. 10, No. 2, pp. 266-277, 2001 DOI: https://doi.org/10.1109/83.902291
X. F. Wang, D. S. Huang, H. Xu, “An efficient local Chan-Vese model for image segmentation”, Pattern Recognition, Vol. 43, No. 3, pp. 603-618, 2010 DOI: https://doi.org/10.1016/j.patcog.2009.08.002
C. Li, C. Y. Kao, J. C. Gore, Z. Ding, “Minimization of region-scalable fitting energy for image segmentation”, IEEE Transactions on Image Processing, Vol. 17, No. 10, pp. 1940-1949, 2008
S. Lankton, A. Tannenbaum, “Localizing region-based active contours”, IEEE Transactions on Image Processing, Vol. 17, No. 11, pp. 2029-2039, 2008 DOI: https://doi.org/10.1109/TIP.2008.2004611
S. Soomro, F. Akram, A. Munir, C. H. Lee, K. N. Choi, “Segmentation of Left and Right Ventricles in Cardiac MRI Using Active Contours”, Computational and Mathematical Methods in Medicine, Vol. 2017, Article ID 8350680, 2017 DOI: https://doi.org/10.1155/2017/8350680
S. Soomro, F. Akram, J. H. Kim, T. A. Soomro, K. N. Choi, “Active Contours Using Additive Local and Global Intensity Fitting Models for Intensity Inhomogeneous Image Segmentation”, Vol. 2016, 2016 DOI: https://doi.org/10.1155/2016/9675249
A. Razi, W. W. Wang, X. C. Feng, “An Active Contour Method Using Harmonic Mean”, IEEE International Conference on Signal and Image Processing, Beijing, China, August 13-15, 2016 DOI: https://doi.org/10.1109/SIPROCESS.2016.7888269
D. Mumford, J. Shah, “Optimal approximations by piecewise smooth functions and associated variational problems”, Communications on Pure and Applied Mathematics, Vol. 42, No. 5, pp. 577-685, 1989 DOI: https://doi.org/10.1002/cpa.3160420503
G. Aubert, P. Kornprobst, Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations, Springer, 2006 DOI: https://doi.org/10.1007/978-0-387-44588-5
B. Appleton, H. Talbot, “Globally optimal geodesic active contours”, Journal of Mathematical Imaging and Vision, Vol. 23, No. 1, pp. 67-86, 2005 DOI: https://doi.org/10.1007/s10851-005-4968-1
S. Soomro, K. N. Choi, “Robust Active Contours for Mammogram Image Segmentation”, International Conference on Image Processing, Beijing, China, September 17-20, 2017 DOI: https://doi.org/10.1109/ICIP.2017.8296662
The mini-MIAS database of mammograms, available at: http://peipa.essex.ac.uk/info/mias.html
C. M. Li, C. Kao, J. Gore, Z. Ding, “Implicit active contours driven by local binary fitting energy”, 2007 IEEE Conference on Computer Vision and Pattern Recognition, Minneapolis, USA, June 17-22, 2007
C. M. Li, C. Kao, J. Gore, Z. Ding, “Minimization of region-scalable fitting energy for image segmentation”, IEEE Transactions on Image Processing, Vol. 17, No. 10, pp. 1940–1949, 2008 DOI: https://doi.org/10.1109/TIP.2008.2002304
How to Cite
MetricsAbstract Views: 381
PDF Downloads: 251
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.