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隐式曲面两相图像分割的变分水平集模型及对偶方法

王琦 潘振宽 魏伟波 王钰

电子学报2011,Vol.39Issue(1):207-212,6.
电子学报2011,Vol.39Issue(1):207-212,6.

隐式曲面两相图像分割的变分水平集模型及对偶方法

Variational Image Segmentation on Implicit Surface Using Dual Method

王琦 1潘振宽 1魏伟波 1王钰1

作者信息

  • 1. 青岛大学信息工程学院,山东,青岛,266071
  • 折叠

摘要

Abstract

The variational level set model for piecewise constant/smooth image segmentation on surfaces and the related dual methods are investigated in this paper. The implicit surface on which the image is defined is represented by zero level set of a static signed distance function, the spatial contour used to divide regions of image on the implicit surface is expressed by the intersection of another dynamic zero level set and implicit surface. The variational level set model for planar image segmentation has been extended to the one on implicit surface by means of intrinsic gradient and intrinsic divergence, which is transformed to a global convex minimization problem in this paper using a new binary label function and the concept of convex relaxation to void the effect of initialization of active contour on the result of segmentation. Finally, the dual methods for solving the global convex minimization problem is designed in this paper and some numerical experiments demonstrate the proposed method is superior to traditional method in computation efficiency.

关键词

隐式曲面/图像分割/变分方法/水平集方法/对偶方法

Key words

implicit surface/image segmentation/variational method/level set method/dual method

分类

信息技术与安全科学

引用本文复制引用

王琦,潘振宽,魏伟波,王钰..隐式曲面两相图像分割的变分水平集模型及对偶方法[J].电子学报,2011,39(1):207-212,6.

基金项目

山东省自然科学基金(No.Y2008G17) (No.Y2008G17)

电子学报

OA北大核心CSCDCSTPCD

0372-2112

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