A Fast Algorithm for Multiphase Image Segmentation: The Split-Bregman-Projection Algorithm

Author(s):  
Cunliang Liu ◽  
Yongguo Zheng ◽  
Zhenkuan Pan ◽  
Guodong Wang
2018 ◽  
Vol 7 (4.33) ◽  
pp. 41
Author(s):  
Abdul K Jumaat ◽  
Ke Chen

Selective image segmentation model aims to separate a specific object from its surroundings. To solve the model, the common practice to deal with its non-differentiable term is to approximate the original functional. While this approach yields to successful segmentation result, however the segmentation process can be slow. In this paper, we showed how to solve the model without approximation using Chambolle’s projection algorithm. Numerical tests show that good visual quality of segmentation is obtained in a fast-computational time.  


2018 ◽  
Vol 34 (3) ◽  
pp. 441-447
Author(s):  
ZI-MING WANG ◽  
◽  
AIRONG WEI ◽  
POOM KUMAM ◽  
◽  
...  

The purpose of this article is to investigate a projection algorithm for solving a fixed point problem of a closed multi-valued Bregman quasi-strict pseudocontraction and an equilibrium problem of a bifunction. Strong convergence of the projection algorithm is obtained without any compact assumption in a reflexive Banach space. As applications, monotone variational inequality problems are considered. Finally, a numerical simulation example is presented for demonstrating the feasibility and convergence of the algorithm proposed in main result.


Author(s):  
Le Zou ◽  
Liang-Tu Song ◽  
Xiao-Feng Wang ◽  
Yan-Ping Chen ◽  
Qiong Zhou ◽  
...  

Algorithms ◽  
2020 ◽  
Vol 13 (9) ◽  
pp. 226
Author(s):  
Laura Antonelli ◽  
Valentina De Simone ◽  
Daniela di Serafino

We present a total-variation-regularized image segmentation model that uses local regularization parameters to take into account spatial image information. We propose some techniques for defining those parameters, based on the cartoon-texture decomposition of the given image, on the mean and median filters, and on a thresholding technique, with the aim of preventing excessive regularization in piecewise-constant or smooth regions and preserving spatial features in nonsmooth regions. Our model is obtained by modifying a well-known image segmentation model that was developed by T. Chan, S. Esedoḡlu, and M. Nikolova. We solve the modified model by an alternating minimization method using split Bregman iterations. Numerical experiments show the effectiveness of our approach.


2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Kun Li ◽  
Na Yang ◽  
Jian Wang ◽  
Yan Han ◽  
Peng-Fei Nie ◽  
...  

Thresholding is an efficient step to extract quantitative information since the potential artefacts are often introduced by the point-spread effect of tomographic imaging. The thresholding value was previously selected only relying on engineering experience or histogram of tomographic image, which often presents a great challenge to determine an accurate thresholding value for various applications. As the tomographic image features often do not provide sufficient information to choose the best thresholding value, the information implicit in the measured boundary data is introduced into the thresholding process in this paper. A projection error, the relative difference between the computed boundary data of current segmentation and the measured boundary data, is proposed as a quantitative measure of such image segmentation quality. Then, a new multistep image segmentation process, called size projection algorithm (SPA), is proposed to automatically determine an optimal thresholding value by minimising the projection error. Results of simulation and experiment demonstrate the improved performance of the SPA-based tomographic image segmentation. An application of size projection algorithm for gas-water two-phase flow visualisation is also reported in this paper.


2014 ◽  
Vol 21 (3) ◽  
pp. 289-299
Author(s):  
Ke Lu ◽  
Qian Wang ◽  
Ning He ◽  
Daru Pan ◽  
Weiguo Pan

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