Abstract In view of the inaccurate segmentation and the high computational complexity of the traditional two-dimensional (2-D) Renyi entropy (RE) thresholding method, a fast and precise 2-D RE image thresholding method is presented. Firstly, the 2-D histogram is divided into inner, edge and noise areas by four oblique lines in parallel with the main diagonal line, and the noise points of the noise areas in the 2-D histogram are eliminated to obtain better segmentation performance. Then, the values of inner and edge areas in the 2-D RE formula are calculated precisely to get a more accurate threshold. Finally, a recursive algorithm of the precise 2-D RE image thresholding method is proposed, and an approach based on the recursive algorithm is inferred with the computational features and two formulas of 2-D RE to reduce the computational complexity. The experimental results show that the proposed method achieves more accurate segmentation results and more robust anti-noise capability compared with other contrast methods, and its running time is much less, almost the same as that of the current RE recursive algorithm based on 2-D histogram oblique segmentation.
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2012, Vol. 25 
