A new stochastic variational PDE model for soft Mumford-Shah segmentation
A new stochastic variational PDE model for soft Mumford-Shah segmentation
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DOI：
10.1016/j.jmaa.2011.05.043
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发表时间：
2011-12-01
影响因子：
1.3
通讯作者：
Barcelos, Celia Z.
中科院分区：
文献类型：
--
作者：
Posirca, Iulia;Chen, Yunmei;Barcelos, Celia Z.
本文提出了一种新的随机变分PDE模型，用软分割代替硬分割。这样，就允许每个像素以一定的概率属于每个图像模式。本文提出了一种变指数函数，为图像分割和去噪提供了更精确的模型。该模型产生的扩散是基于电视和各向同性平滑的结合。详细探讨了建模过程、计算实现和结果，并给出了真实图像和合成图像的数值算例。(C) 2011爱思唯尔公司版权所有。
In this paper, a new stochastic variational PDE model is developed, using instead of hard segmentation soft segmentation. In this way, each pixel is allowed to belong to each image pattern with some probability. Our work proposes a functional with variable exponent, which provides a more accurate model for image segmentation and denoising. The diffusion resulting from the proposed model is a combination between TV-based and isotropic smoothing. The modeling procedure, computational implementation and results are explored in detail and numerical examples of real and synthetic images are presented. (C) 2011 Elsevier Inc. All rights reserved.