Principles of Shape from Specular Reflection

被引:89
作者
Balzer, J. [1 ]
Werling, S. [2 ]
机构
[1] King Abdullah Univ Sci & Technol, Thuwal 239556900, Saudi Arabia
[2] Karlsruhe Inst Technol, D-76131 Karlsruhe, Germany
关键词
Shape; Specular reflection; Deflectometry; Distortion; Specular surface; Reconstruction; III-posed problem; Regularization; Survey; RECONSTRUCTION; SURFACES; MIRROR;
D O I
10.1016/j.measurement.2010.07.013
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The reconstruction of (partially) specular object by means of deflectometric methods is a challenging task. It has a long and fairly branched history within the metrology and machine vision communities. We are not aware of any scientific publication surveying the state of the art in a unifying manner and thus stimulating further research. This contribution is intended to close this gap, bringing together prominent ideas from both fields. In avoidance of unnecessary technicality, we lay out the basic theory, including all known forward models of the reflection process. The corresponding inverse problem is ill-posed, so that special emphasis is put on the question of regularization. We embed some novel results on the uniqueness problem and the effectiveness of regularization approaches. Also an overview of numerical methods related to Shape from Specular Reflection is given. For the sake of completeness, we share some thoughts on the construction of an actual measurement system and discuss a practical example. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1305 / 1317
页数:13
相关论文
共 43 条
[11]  
Chan Jacky., 2007, IMMERSCOM 07, P1
[12]  
Donner K., 2004, Pattern Recognition and Image Analysis, V14, P168
[13]  
Durou J-D., 2004, SURVEY NUMERICAL MET
[14]   Shape reconstruction from gradient data [J].
Ettl, Svenja ;
Kaminski, Juergen ;
Knauer, Markus C. ;
Haeusler, Gerd .
APPLIED OPTICS, 2008, 47 (12) :2091-2097
[15]   Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts [J].
Hibino, K ;
Oreb, BF ;
Farrant, DI ;
Larkin, KG .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (04) :918-930
[16]   Designing a mirror to realize a given projection [J].
Hicks, RA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2005, 22 (02) :323-330
[17]  
HORBACH J, 2006, P SOC PHOTO OPT INS, V6382, pNI110
[18]  
Horn B, 1999, INT J COMPUT VISION, V5, P37
[19]   DETERMINING OPTICAL-FLOW - A RETROSPECTIVE [J].
HORN, BKP ;
SCHUNCK, BG .
ARTIFICIAL INTELLIGENCE, 1993, 59 (1-2) :81-87
[20]   Topography reconstruction of specular surfaces [J].
Kammel, S ;
Horbach, J .
Videometrics VIII, 2005, 5665 :59-66