Translator Disclaimer
19 January 2009 A probabilistic approach for the reconstruction of polyhedral objects using shape from shading technique
Author Affiliations +
Proceedings Volume 7252, Intelligent Robots and Computer Vision XXVI: Algorithms and Techniques; 72520B (2009) https://doi.org/10.1117/12.805565
Event: IS&T/SPIE Electronic Imaging, 2009, San Jose, California, United States
Abstract
There are many objects in the real world, especially, man made objects often having a polyhedral shape. Shape from shading (SFS) is a well known and the most robust technique of Computer vision. SFS is a first order nonlinear, ill-posed problem. The main idea for solving ill-posed problems is to restrict the class of admissible solution by introducing suitable a priori knowledge. To overcome the ill-posedness in SFS techniques, Bayesian estimation of geometrical constraints are used. The Lambertian reflectance model is used in this method due to its wide applicability in SFS techniques. The priori or the constraints are represented in the form of probability distribution function, so that the Bayesian approach can be applied. The Monte Carlo method is applied for generating the sample fields from the distribution so that the model can represent our priori knowledge and constraints. The optimal estimators are also computed by using Monte Carlo method. The geometric constraints for lines and planes are used in probabilistic manner to eliminate the rank deficiency to get the unique solution. In case of incorrect line drawings, it is not always possible to reconstruct the object shape uniquely. To deal with this problem, we have processed each planar face separately. Hence, the proposed method is applicable in case of slight error in computation of vertex positions in the images of polyhedral objects. The proposed method is used on various synthetic and real images and satisfactory results are obtained.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Manoj Kumar, R. Balasubramanian, Rama Bhargava, and K. Swaminathan "A probabilistic approach for the reconstruction of polyhedral objects using shape from shading technique", Proc. SPIE 7252, Intelligent Robots and Computer Vision XXVI: Algorithms and Techniques, 72520B (19 January 2009); https://doi.org/10.1117/12.805565
PROCEEDINGS
10 PAGES


SHARE
Advertisement
Advertisement
RELATED CONTENT

Model group indexing for recognition
Proceedings of SPIE (January 31 1991)
Parallel algorithm for volumetric segmentation
Proceedings of SPIE (January 31 1991)
Physically based analysis of deformations in 3D images
Proceedings of SPIE (June 22 1993)
Topology-independent shape modeling scheme
Proceedings of SPIE (June 22 1993)

Back to Top