A Two-Stage Color Image Segmentation Method Based on Saturation-Value Total Variation

IF 1.5 4区 工程技术 Q2 MATHEMATICS, APPLIED
Tiange Wang null, Hok Shing Wong
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引用次数: 0

Abstract

. Color image segmentation is crucial in image processing and computer vision. Most traditional segmentation methods simply regard an RGB color image as the direct combination of the three monochrome images and ignore the inherent color structures within channels, which contain some key feature information of the image. To better describe the relationship of color channels, we introduce a quaternion-based regularization that can reflect the image characteristics more intuitively. Our model combines the idea of the Mumford-Shah model-based two-stage segmentation method and the Saturation-Value Total Variation regularization for color image segmentation. The new strategy first extracts features from the color image and then subdivides the image in a new color feature space which achieves better performance than methods in RGB color space. Moreover, to accelerate the optimization process, we use a new primal-dual algorithm to solve our novel model. Numerical results demonstrate clearly that the performance of our proposed method is excellent.
基于饱和值总变分的两阶段彩色图像分割方法
. 彩色图像分割是图像处理和计算机视觉的重要组成部分。传统的分割方法大多将RGB彩色图像简单地视为三幅单色图像的直接组合,忽略了通道内固有的颜色结构,而通道内的颜色结构包含了图像的一些关键特征信息。为了更好地描述颜色通道之间的关系,我们引入了一种基于四元数的正则化方法,可以更直观地反映图像特征。我们的模型结合了基于Mumford-Shah模型的两阶段分割方法和用于彩色图像分割的饱和值总变差正则化的思想。该策略首先从彩色图像中提取特征,然后在新的颜色特征空间中对图像进行细分,其性能优于RGB颜色空间中的方法。此外,为了加速优化过程,我们使用了一种新的原始对偶算法来求解我们的新模型。数值结果表明,该方法具有良好的性能。
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来源期刊
Advances in Applied Mathematics and Mechanics
Advances in Applied Mathematics and Mechanics MATHEMATICS, APPLIED-MECHANICS
CiteScore
2.60
自引率
7.10%
发文量
65
审稿时长
6 months
期刊介绍: Advances in Applied Mathematics and Mechanics (AAMM) provides a fast communication platform among researchers using mathematics as a tool for solving problems in mechanics and engineering, with particular emphasis in the integration of theory and applications. To cover as wide audiences as possible, abstract or axiomatic mathematics is not encouraged. Innovative numerical analysis, numerical methods, and interdisciplinary applications are particularly welcome.
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