Method for surface reconstruction from slope or curvature measurements of rectangular areas

被引：21

作者：

Grediac, M

机构：

[1] Department of Mechanical and Materials Engineering, Ecole des Mines de Saint-Etienne, Saint-Etienne Cedex 2, 42023

来源：

APPLIED OPTICS | 1997年 / 36卷 / 20期

关键词：

surface reconstruction; Legendre polynomials; slope measurements; curvature measurements;

D O I：

10.1364/AO.36.004823

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The problem of surface reconstruction from slope or curvature measurements of rectangular areas has been examined by use of the orthogonality property of Legendre polynomials. A relation is given between the integrals involving slope or curvature data and the coefficients used in the expansion of the surface with such polynomials. Tt is shown that those coefficients are retrieved independently of each other. The efficiency and stability of the method have been tested with numerical examples. (C) 1997 Optical Society of America.

引用

页码：4823 / 4829

页数：7

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