Abstract

This paper presents a fast two-stage image segmentation method for intensity inhomogeneous image using an energy function based on a local region-based active contour model with exponential family. In the first stage, we preliminary segment the down-sampled images by the local correntropy-based K-means clustering model with exponential family, which can fast obtain a coarse result with low computational complexity. Subsequently, by taking the up-sampled contour of the first stage as initialization, we precisely segment the original images by the improved local correntropy-based K-means clustering model with exponential family in the second stage. This stage can achieve accurate result rapidly as the result of the proper initialization. Meanwhile, we converge the energy function of two-stage by the Riemannian steepest descent method. Comparing with other statistical numerically methods, which are used to solve the partial differential equations(PDEs), this method can obtain the global minima with less iterations. Moreover, to promote regularity of energy function, we use a popular regular method which is an inner product and applies spatial smoothing to the gradient flow. Extensive experiments on synthetic and real images demonstrate that the proposed method is more efficient than the other state-of-art methods on intensity inhomogeneous images.

Highlights

  • Image segmentation is still a popular problem in the field of image processing and computer vision [1]

  • The intensity inhomogeneity exits in images, which is caused by the imperfections of image acquisition, influence of the illumination and other factors of environment, is one of the main issues in subject of image segmentation

  • The global active contour models assume that the intensities of images are piecewise constant and thereby these models can not segment the images with intensity inhomogeneity

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Summary

Introduction

Image segmentation is still a popular problem in the field of image processing and computer vision [1]. The subject for segmenting images with intensity inhomogeneity attracts more and more researchers to study. Active contour models [2] have been a successful branch for image segmentation. Chan and Vese [2] proposed a global region-based active contour model for image segmentation. This model approximates the image intensities outside and inside of contour by the average image intensities outside and inside of contour, respectively. The energy function of Chan-Vese model can be written as: Z. Chan and Vese minimized the energy function (1) by the standard gradient descent method [31]. The gradient descent flow corresponding to φ can be written as

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