2016
DOI: 10.1016/j.patcog.2016.01.021
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Active contours textural and inhomogeneous object extraction

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Cited by 33 publications
(33 citation statements)
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“…Suppose that I: Ω⊂R 2 is an image domain, I: Ω → R 2 is an input image, and C(q) is a closed curve. Then, the GAC model is formalized by minimizing the following energy functional as E GAC = 1 0 g(|∇I(C(q))|)|C (q)|dq, (1) where g is a strictly decreasing function. Usually, a satisfactory edge stopping function (ESF) should be defined, which is regular and positive at object boundaries [21], e.g.,…”
Section: The Gac Modelmentioning
confidence: 99%
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“…Suppose that I: Ω⊂R 2 is an image domain, I: Ω → R 2 is an input image, and C(q) is a closed curve. Then, the GAC model is formalized by minimizing the following energy functional as E GAC = 1 0 g(|∇I(C(q))|)|C (q)|dq, (1) where g is a strictly decreasing function. Usually, a satisfactory edge stopping function (ESF) should be defined, which is regular and positive at object boundaries [21], e.g.,…”
Section: The Gac Modelmentioning
confidence: 99%
“…where G σ denotes the Gaussian kernel function and G σ *I describes the convolution operation of I with G σ . Using the steepest descent method and the calculus of variations, we obtain the Euler-Lagrange form of Equation (1), which is written as…”
Section: The Gac Modelmentioning
confidence: 99%
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“…The purpose of texture image segmentation is to divide a provided image into multiple regions with similar texture appearance [1]. In the past decades, a number of texture image segmentation methods have been introduced, which could be generally divided into three groups: region based [2], graph based [3], and active contour model (ACM) based methods [4]- [8].…”
Section: Introductionmentioning
confidence: 99%
“…Most of segmentation methods of texture images, such as many histological images [9], natural images [10], or synthetic structures [4], generally consists of two steps, extracting features and building a model for segmentation. In the feature extraction step, a variety of features have been proposed to capture local statistical properties…”
Section: Introductionmentioning
confidence: 99%