Exploring various neighborhoods in Cellular Automata for image segmentation

This paper presents the first results obtained by exploring different neighborhoods in two-dimensional Cellular Automata applied for the difficult task of automatic image segmentation. Numerical experiments have been performed on several real-world and synthetic images for which the ground truth is known, being therefore able to compute the algorithm performance by comparing the obtained segmented image with the correct segmentation. To this purpose, the DICE coefficient has been used, which is one of the most popular similarity measures found in the literature. Obtained results bring valuable input that could help further improve the algorithms based on Cellular Automata applied to image segmentation.

[1]  David Dagan Feng,et al.  Cellular automata and anisotropic diffusion filter based interactive tumor segmentation for positron emission tomography , 2013, 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC).

[2]  Gina Maira Barbosa de Oliveira,et al.  Some Investigations About Synchronization and Density Classification Tasks in One-dimensional and Two-dimensional Cellular Automata Rule Spaces , 2009, Electron. Notes Theor. Comput. Sci..

[3]  Claude Kauffmann,et al.  Seeded ND medical image segmentation by cellular automaton on GPU , 2010, International Journal of Computer Assisted Radiology and Surgery.

[4]  Xianglong Tang,et al.  An Effective Approach of Lesion Segmentation Within the Breast Ultrasound Image Based on the Cellular Automata Principle , 2012, Journal of Digital Imaging.

[5]  Marco Tomassini,et al.  Performance and Robustness of Cellular Automata Computation on Irregular Networks , 2007, Adv. Complex Syst..

[6]  Marco Tomassini,et al.  Evolution and Dynamics of Small-World Cellular Automata , 2005, Complex Syst..

[7]  Anca Andreica,et al.  WEIGHTED MAJORITY RULE FOR HYBRID CELLULAR AUTOMATA TOPOLOGY AND NEIGHBORHOOD , 2013 .

[8]  Ryan A. Beasley Semiautonomous Medical Image Segmentation Using Seeded Cellular Automaton Plus Edge Detector , 2012 .

[9]  R. S. RajKumar,et al.  Image Segmentation and Classification of MRI Brain Tumor Based on Cellular Automata and Neural Networks , 2013 .

[10]  Marco Tomassini,et al.  Evolution of Asynchronous Cellular Automata for the Density Task , 2002, PPSN.

[11]  J. Pollack,et al.  Coevolving the "Ideal" Trainer: Application to the Discovery of Cellular Automata Rules , 1998 .

[12]  D. Watts,et al.  Small Worlds: The Dynamics of Networks between Order and Randomness , 2001 .

[13]  Camelia Chira,et al.  Evolution and dynamics of node-weighted networks for cellular automata computation , 2015, Log. J. IGPL.

[14]  Hjh Jos Brouwers,et al.  A cellular automata approach to chemical reactions : 1 reaction controlled systems , 2013 .

[15]  Michael D. Thomure,et al.  The Role of Space in the Success of Coevolutionary Learning , 2006 .

[16]  Payel Ghosh,et al.  Unsupervised Grow-Cut: Cellular Automata-Based Medical Image Segmentation , 2011, 2011 IEEE First International Conference on Healthcare Informatics, Imaging and Systems Biology.

[17]  Jitendra Malik,et al.  A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[18]  Camelia Chira,et al.  Using a Hybrid Cellular Automata Topology and Neighborhood in Rule Discovery , 2013, HAIS.

[19]  Gözde B. Ünal,et al.  Tumor-Cut: Segmentation of Brain Tumors on Contrast Enhanced MR Images for Radiosurgery Applications , 2012, IEEE Transactions on Medical Imaging.

[20]  Camelia Chira,et al.  Dynamics of Networks Evolved for Cellular Automata Computation , 2012, HAIS.

[21]  Melanie Mitchell,et al.  Evolving Cellular Automata with Genetic Algorithms: A Review of Recent Work , 2000 .

[22]  Vladimir Vezhnevets,et al.  “GrowCut” - Interactive Multi-Label N-D Image Segmentation By Cellular Automata , 2005 .

[23]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[24]  L. R. Dice Measures of the Amount of Ecologic Association Between Species , 1945 .

[25]  Marco Tomassini,et al.  Toward robust network based complex systems: from evolutionary cellular automata to biological models , 2011, Intelligenza Artificiale.