Volume 9, Issue 3
Two-Stage Image Segmentation Scheme Based on Inexact Alternating Direction Method

Zhanjiang Zhi, Yi Sun & Zhifeng Pang

Numer. Math. Theor. Meth. Appl., 9 (2016), pp. 451-469.

Published online: 2016-09

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  • Abstract

Image segmentation is a fundamental problem in both image processing and computer vision with numerous applications. In this paper, we propose a two-stage image segmentation scheme based on inexact alternating direction method. Specifically, we first solve the convex variant of the Mumford-Shah model to get the smooth solution, and the segmentation is then obtained  by applying the K-means clustering method to the solution. Some numerical comparisons are arranged to show the effectiveness of our proposed schemes by segmenting many kinds of images such as artificial images, natural images, and brain MRI images.

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@Article{NMTMA-9-451, author = {}, title = {Two-Stage Image Segmentation Scheme Based on Inexact Alternating Direction Method}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2016}, volume = {9}, number = {3}, pages = {451--469}, abstract = {

Image segmentation is a fundamental problem in both image processing and computer vision with numerous applications. In this paper, we propose a two-stage image segmentation scheme based on inexact alternating direction method. Specifically, we first solve the convex variant of the Mumford-Shah model to get the smooth solution, and the segmentation is then obtained  by applying the K-means clustering method to the solution. Some numerical comparisons are arranged to show the effectiveness of our proposed schemes by segmenting many kinds of images such as artificial images, natural images, and brain MRI images.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2016.m1509}, url = {http://global-sci.org/intro/article_detail/nmtma/12385.html} }
TY - JOUR T1 - Two-Stage Image Segmentation Scheme Based on Inexact Alternating Direction Method JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 451 EP - 469 PY - 2016 DA - 2016/09 SN - 9 DO - http://doi.org/10.4208/nmtma.2016.m1509 UR - https://global-sci.org/intro/article_detail/nmtma/12385.html KW - AB -

Image segmentation is a fundamental problem in both image processing and computer vision with numerous applications. In this paper, we propose a two-stage image segmentation scheme based on inexact alternating direction method. Specifically, we first solve the convex variant of the Mumford-Shah model to get the smooth solution, and the segmentation is then obtained  by applying the K-means clustering method to the solution. Some numerical comparisons are arranged to show the effectiveness of our proposed schemes by segmenting many kinds of images such as artificial images, natural images, and brain MRI images.

Zhanjiang Zhi, Yi Sun & Zhifeng Pang. (2020). Two-Stage Image Segmentation Scheme Based on Inexact Alternating Direction Method. Numerical Mathematics: Theory, Methods and Applications. 9 (3). 451-469. doi:10.4208/nmtma.2016.m1509
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