A two-dimension chaotic sequence generating method and its application for image segmentation

  • Authors:
  • Xue-Feng Zhang;Jiu-Lun Fan

  • Affiliations:
  • Department of Electronic Engineering, Xidian University, Xi'an, Shaanxi, P.R. China;Department of Information and Control, Xi'an Institute of Post and Telecommunications, Xi'an, Shaanxi, P.R. China

  • Venue:
  • ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part II
  • Year:
  • 2006

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Abstract

Chaotic optimization is a new optimization technique. For image segmentation, conventional chaotic sequence is not fit to two-dimension gray histogram because it is proportional distributing in [0,1]×[0,1]. In order to generate a chaotic sequence can be used to the optimization processing of image segmentation method in two-dimension gray histogram, we propose an chaotic sequence generating method based on Arnold chaotic system and Bézier curve generating algorithm. Simulation results show that the generated sequence is pseudorandom. The most important characteristic of this chaotic sequence is that its distribution is approximately inside a disc whose center is (0.5,0.5) , this characteristic indicates that the sequence is superior to the Arnold chaotic sequence in image segmenting. Based on the extended chaotic sequence generating method, we study the two-dimension Otsu's image segmentation method using chaotic optimization. Simulation results show that the method using the extended chaotic sequence has better segmentation effect and lower computation time than the existed two-dimension Otsu's method.