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SFS的变分方法研究与实现
引用本文:郑小强,张小锋,胡景春.SFS的变分方法研究与实现[J].南昌航空工业学院学报,2007,21(1):17-20.
作者姓名:郑小强  张小锋  胡景春
作者单位:南昌航空工业学院 江西南昌330063
摘    要:变分法是解SFS问题的经典方法,其关键是在合适的约束模型下构造相应的泛函,然后通过变分法寻求泛函极小化问题的解。本文提出了一种新的综合约束模型,并基于此约束模型构建了泛函,然后泰勒展开变分处理后的等效欧拉方程,再应用有限差分方法将偏微分方程离散化,最后进行迭代计算得到了曲面各点的高度值。Matlab的编程实现表明该算法有效可行。

关 键 词:表面重建  从明暗恢复形状  变分法
文章编号:1001-4926(2007)01-0017-04
修稿时间:2007-02-20

Study and realization of variational approach to shape from shading
ZHENG Xiao-qiang,ZHANG Xiao-feng,HU Jing-chung.Study and realization of variational approach to shape from shading[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2007,21(1):17-20.
Authors:ZHENG Xiao-qiang  ZHANG Xiao-feng  HU Jing-chung
Institution:Nanchang Institute of Aeronautical Technology, Nanchang , Jiangxi 330063
Abstract:The variational approach is a classical way to shape from shading.This approach depends on minimizing a functional based on suitable constraints.A new combined constraint is presented for variational solution that is achieved by Taylor series expansion and difference scheme in this paper.Obtaining surface height by iterative proves availability and feasibility of our solution.
Keywords:surface reconstruction  shape from shading  variational approach
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