On reconstruction of surfaces by shadow contours

被引：0
|
作者：
Begmatov, A.H. [1 ]
机构：
[1] Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Acad. Koptyug prosp., 4, Novosibirsk 630090, Russia
来源：
Journal of Inverse and Ill-Posed Problems | 2002年 / 10卷 / 03期
关键词：
D O I：
10.1515/jiip.2002.10.3.213
中图分类号：
学科分类号：
摘要：
The problem of reconstruction of surfaces based on a given plane by their shadow contours is considered. The optical projection of the surface point and shadow contours with respect to perpendicular and optical projection is introduced. Necessary and sufficient conditions of unique reconstruction of a plane curve by complete set of optical and perpendicular projections of their points are presented. A uniqueness result on the problem is obtained in the case of smooth hat-shaped surface. A uniqueness theorem for the problem of simultaneous reconstruction of two nonintersecting piecewise-smooth hat-shaped surfaces by complete set of their shadows is proved.
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页码：213 / 220
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