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10 February 2016 Spatially constrained mixture model via energy minimization and its application to image segmentation
Zhiyong Xiao, Yunhao Yuan, Jianjun Liu, Jinlong Yang
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Journal of Electronic Imaging, Vol. 25, Issue 1, 013026 (February 2016). https://doi.org/10.1117/1.JEI.25.1.013026
Abstract
A mixture model with spatial constraint is proposed for image segmentation. This model assumes that the pixel label priors are similar if the pixels are close in geometry. An energy function is defined on the spatial space for measuring the spatial information. We also derive an energy function on the observed data space from the log-likelihood function of the standard mixture model. We estimate the model parameters by minimizing the combination of the two energy functions, using the gradient descent algorithm. Then we use the parameters to compute the posterior probability. Finally, each pixel can be assigned to a class using the maximum a posterior decision rule. Numerical experiments are presented where the proposed method and other mixture model-based methods are tested on synthetic and real-world images. These experimental results demonstrate that the proposed method achieves competitive performance compared with other spatially constrained mixture model-based methods.
© 2016 SPIE and IS&T 1017-9909/2016/$25.00 © 2016 SPIE and IS&T
Citation Download Citation
Zhiyong Xiao, Yunhao Yuan, Jianjun Liu, and Jinlong Yang "Spatially constrained mixture model via energy minimization and its application to image segmentation," Journal of Electronic Imaging 25(1), 013026 (10 February 2016). https://doi.org/10.1117/1.JEI.25.1.013026
Published: 10 February 2016
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KEYWORDS
Image segmentation
Expectation maximization algorithms
Data modeling
Image processing algorithms and systems
Performance modeling
Nickel
Image resolution
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