Reflections on the Generalized Bas-Relief Ambiguity

Authors:
Manmohan Krishna Chandraker;Fredrik Kahl;David J. Kriegman
Affiliations:
University of California at San Diego;University of California at San Diego;University of California at San Diego
Venue:
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Year:
2005

Citing 0
Cited 10

The Theory and Practice of Coplanar Shadowgram Imaging for Acquiring Visual Hulls of Intricate Objects

International Journal of Computer Vision
Visibility subspaces: uncalibrated photometric stereo with shadows

ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Ring-light photometric stereo

ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
An introduction to image-based 3D surface reconstruction and a survey of photometric stereo methods

3D Research
Specular-free residual minimization for photometric stereo with unknown light sources

PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part I
The State of the Art in Interactive Global Illumination

Computer Graphics Forum
Computer Assisted Relief Generation—A Survey

Computer Graphics Forum
Shape from fluorescence

ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VII
A Practical Approach to 3D Scanning in the Presence of Interreflections, Subsurface Scattering and Defocus

International Journal of Computer Vision
A Closed-Form, Consistent and Robust Solution to Uncalibrated Photometric Stereo Via Local Diffuse Reflectance Maxima

International Journal of Computer Vision

Quantified Score

Hi-index	0.01

Visualization

Abstract

Prior work has argued that when a Lambertian surface in fixed pose is observed in multiple images under varying distant illumination, there is an equivalence class of surfaces given by the generalized bas-relief (GBR) ambiguity that could have produced these images. In contrast, this paper shows that for general nonconvex surfaces, interreflections completely resolve the GBR ambiguity. In turn, the full Euclidean geometry can be recovered from uncalibrated photometric stereo for which the light source directions and strengths are unknown. Further, we show that surfaces with a translational symmetry do not lend enough constraints to be disambiguated by interreflections.