Existence and uniqueness in shape from shading

被引：0
作者：
Yanping Deng
Jiegu Li
机构：
[1] Shanghai Jiaotong University,Institute of Image Processing and Pattern Recognition
来源：
Journal of Computer Science and Technology | 1997年 / 12卷 / 1期
关键词：
Shape from shading; computer vision; existence of solution; uniqueness of solution;
D O I：
10.1007/BF02943145
中图分类号：
学科分类号：
摘要：
For the image of a smooth surface object fully contained within the field of view and illuminated in an arbitrary direction, this paper discusses the existence and uniqueness of the conditions for solving a shape-from-shading problem under the conditions that the Fourier series expansion of the image intensity contains only zero and first order terms in a polar coordinate system. Three theorems are established, one for the existence and two for the uniqueness ofz-axis symmetric shape from shading.
引用
收藏
页码：58 / 64
页数：6
相关论文
共 4 条
[1]  
Horn B K P(1990)Height and gradient from shading Int. J. Comput. Vision 5 37-75
[2]  
Bruss A R(1982)The eikonal equation: Some results applicable to computer vision J. Math. Phys. 23 890-896
[3]  
Oliensis J(1991)Uniqueness in shape from shading Int. J. Comput. Vision 6 75-104
[4]  
Oliensis J(1991)Shape from shading as a partially well-constrained problem CVGIP: Image Understanding 54 163-183
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