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梯度矢量流Snake模型临界点剖析
引用本文:王元全,贾云得.梯度矢量流Snake模型临界点剖析[J].软件学报,2006,17(9):1915-1921.
作者姓名:王元全  贾云得
作者单位:北京理工大学,计算机科学技术系,北京,100081
摘    要:作为经典Snake模型的一个变体,梯度矢量流(gradient vector flow,简称GVF)Snake在扩大Snake轮廓的捕捉范围和深度凹陷区域的收敛上具有卓越的性能.但GVF Snake在初始化时存在一个临界点问题:在目标内部的临界点必须在初始Snake轮廓的内部;在目标外部的临界点必须在Snake轮廓的外部.否则,Snake轮廓将不能收敛到正确的结果.对GVF Snake的临界点问题进行探讨,详细分析了临界点的影响因素,指出GVF场只有在合适的条件下才是有效的;证明了相关文献中从粘性流体力学

关 键 词:GVF(gradient  vector  flow  简称GVF)  Snake  临界点  图像分割  Navier-Stokes方程  粘性流体力学
收稿时间:3/7/2005 12:00:00 AM
修稿时间:2005-08-25

Analysis of the Critical Point of the Gradient Vector Flow Snake Model
WANG Yuan-Quan and JIA Yun-De.Analysis of the Critical Point of the Gradient Vector Flow Snake Model[J].Journal of Software,2006,17(9):1915-1921.
Authors:WANG Yuan-Quan and JIA Yun-De
Affiliation:Department of Computer Science and Technology, Beijing Institute of Technology, Beijing 100081, China
Abstract:Gradient vector flow (GVF) snake shows high performance at capture-range enlarging and boundary concavity convergence, however, the initial contours encounter a so-called critical point problem (CPP). The initial contour must contain the critical points inside the object and exclude those outside the object, otherwise, the final result would be far from the expected. This paper investigates the CPP of the GVF snake and points out that, serving as an external force field for snake models, gradient vector flow could be effective only under some restrictions. Also, it is proved that the theoretical foundation, the Navier-Stokes equation for viscous fluid flow, for the solution to this CPP in literatures is incorrect. Finally, an empirical solution to the CPP is presented and its performance is validated by experiments.
Keywords:GVF (gradient vector flow) snake  critical point  image segmentation  Navier-Stokes equation  viscous fluid flow
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