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平均曲率运动的三种实现方案的比较研究
引用本文:朱春香,种兰祥,王大凯.平均曲率运动的三种实现方案的比较研究[J].计算机应用与软件,2008,25(6):241-243.
作者姓名:朱春香  种兰祥  王大凯
作者单位:西北大学信息科学与技术学院,陕西,西安,710069
摘    要:讨论了曲率运动演化方程的三种数值方案:离散中值滤波方案、显式水平集方案和半隐式水平集方案的原理与算法,并对它们的效率、精度以及旋转不变性等性能进行了对比实验研究.结果表明,半隐式加性算子分裂(AOS)算法相对于另两种方案性能上明显占优.

关 键 词:平均曲率运动  中值滤波  水平集  显式方案  半隐式方案  加性算子分裂算法
修稿时间:2006年9月22日

A COMPARISON STUDY ON THREE NUMERICAL SCHEMES FOR IMPLEMENTING MEAN CURVATURE MOTION
Zhu Chunxiang,Zhong Lanxiang,Wang Dakai.A COMPARISON STUDY ON THREE NUMERICAL SCHEMES FOR IMPLEMENTING MEAN CURVATURE MOTION[J].Computer Applications and Software,2008,25(6):241-243.
Authors:Zhu Chunxiang  Zhong Lanxiang  Wang Dakai
Affiliation:Zhu Chunxiang Zhong Lanxiang Wang Dakai(College of Information Science , Technology,Northwest University,Xi'an 710069,Shaanxi,China)
Abstract:In this paper we discuss principle and algorithms of three numerical implementation schemes of curvature motion evolution equation:discrete median filtering,explicit level set and semi-implicit level set scheme with additive operator splitting(AOS)algorithm.Comparison experiments were carried out for the performance of these schemes including efficiency,accuracy and rotation invariant,etc.The results show that the AOS semi-implicit scheme performs prominently better than other two schemes.
Keywords:Mean curvature motion Median filter Level set Explicit scheme Semi-implicit scheme Additive operator splitting algorithm  
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