Title
3-D Reconstruction of Shaded Objects from Multiple Images Under Unknown Illumination
Abstract
We propose a variational algorithm to jointly estimate the shape, albedo, and light configuration of a Lambertian scene from a collection of images taken from different vantage points. Our work can be thought of as extending classical multi-view stereo to cases where point correspondence cannot be established, or extending classical shape from shading to the case of multiple views with unknown light sources. We show that a first naive formalization of this problem yields algorithms that are numerically unstable, no matter how close the initialization is to the true geometry. We then propose a computational scheme to overcome this problem, resulting in provably stable algorithms that converge to (local) minima of the cost functional. We develop a new model that explicitly enforces positivity in the light sources with the assumption that the object is Lambertian and its albedo is piecewise constant and show that the new model significantly improves the accuracy and robustness relative to existing approaches.
Year
DOI
Venue
2008
10.1007/s11263-007-0055-y
International Journal of Computer Vision
Keywords
Field
DocType
Stereoscopic segmentation,Shape from shading,Multi-view stereo,Variational 3D reconstruction,Level set methods,Lighting and appearance reconstruction
Iterative reconstruction,Computer vision,Computer science,Image processing,Maxima and minima,Robustness (computer science),Artificial intelligence,Initialization,Luminance,Piecewise,Photometric stereo
Journal
Volume
Issue
ISSN
76
3
0920-5691
Citations 
PageRank 
References 
26
0.83
26
Authors
6
Name
Order
Citations
PageRank
Hailin Jin11937108.60
Daniel Cremers28236396.86
Dejun Wang3260.83
Emmanuel Prados445020.47
Anthony Yezzi575944.32
Stefano Soatto64967350.34