应用科学学报 ›› 2013, Vol. 31 ›› Issue (1): 84-90.doi: 10.3969/j.issn.0255-8297.2013.01.014

• 信号与信息处理 • 上一篇    下一篇

一种基于2DPCA训练的形状先验提取方法

陈波, 蔡锦霖, 陈文胜, 刘振河, 李妍   

  1. 深圳大学数学与计算科学学院,广东深圳518060
  • 收稿日期:2012-05-26 修回日期:2012-12-05 出版日期:2013-01-31 发布日期:2012-11-05
  • 通信作者: 陈波, 博士,副教授,研究方向:应用数学、图像处理与模式识别,E-mail: chenbo@szu.edu.cn
  • 作者简介:陈波, 博士,副教授,研究方向:应用数学、图像处理与模式识别,E-mail: chenbo@szu.edu.cn
  • 基金资助:

    国家自然科学基金(No.61272252, No.11226105); 广东省自然科学基金(No.S2012040007098); 深圳市科技计划项目基金(No.JC201105130447A, No.JC201105130461A, No.JCYJ20120613102415154, No.ZYC201105130115A);中山大学广东省计算科学重点实验室开放基金(No.201206001)资助

Shape Prior Extraction Based on 2DPCA Training

CHEN Bo, CAI Jin-lin, CHEN Wen-sheng, LIU Zhen-he, LI Yan   

  1. College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060,Guangdong Province, China
  • Received:2012-05-26 Revised:2012-12-05 Online:2013-01-31 Published:2012-11-05

摘要: 面向噪声图像分割问题提出了一种基于二维主成分分析(two-dimensional principal component analysis,2DPCA)训练的形状先验提取方法. 首先对无噪声形状进行训练,得到一组标准正交投影方向并张成2DPCA空间. 将噪声图像投影到该空间,并在张成的空间中应用最小二乘法找到跟该投影点距离最近的点. 该点的原象未必是原来的训练形状,而可能是它们的线性组合. 最后在原来的空间中找到该原象,重构出先验形状.实验结果表明利用所得形状先验对含噪声以及含遮挡和缺失内容的图像分割具有明显效果.

关键词: 图像分割, 活动轮廓模型, 形状先验, 二维主成分分析, 最小二乘法

Abstract:  A shape prior extraction method based on two-dimensional principal component analysis (2DPCA)training is proposed for noisy image segmentation. Some ideal shapes are trained to obtain a group orthonormal projection vectors, and are then spanned to the 2DPCA space. The noisy image is projected onto this space, and least squares method is employed to find a dot nearest the projected dot in this space. The pre-image of this dot may not be one of the training shapes, but a linear combination of them. A pre-image strategy is then exploited to extract the shape prior. Experimental results show that the proposed segmentation method with shape prior is valid not only for noisy images, but also for images with occlusion and massing parts.

Key words: image segmentation, active contour model, shape prior, two-dimensional principal component analysis (2DPCA), least squares method

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