Title
Isotropy, Reciprocity and the Generalized Bas-Relief Ambiguity
Abstract
A set of images of a Lambertian surface under varying lighting directions defines its shape up to a three-parameter generalized bas-relief (GBR) ambiguity. In this paper, we examine this ambiguity in the context of surfaces having an additive non-Lambertian reflectance component, and we show that the GBR ambiguity is resolved by any non-Lambertian reflectance function that is isotropic and spatially invariant. The key observation is that each point on a curved surface under directional illumination is a member of a family of points that are in isotropic or reciprocal configurations. We show that the GBR can be resolved in closed form by identifying members of these families in two or more images. Based on this idea, we present an algorithm for recovering full Euclidean geometry from a set of uncalibrated photometric stereo images, and we evaluate it empirically on a number of examples.
Year
DOI
Venue
2007
10.1109/CVPR.2007.383207
CVPR
Keywords
Field
DocType
generalized bas-relief ambiguity,nonlambertian reflectance function,nonlambertian reflectance component,directional illumination,uncalibrated photometric stereo images,lambertian surface images,euclidean geometry,stereo image processing,image reconstruction,reflectivity,spatial resolution,photometry,computer vision,surface reconstruction,stereo vision,shape,lighting,photometric stereo
Iterative reconstruction,Isotropy,Computer vision,Computer science,Stereopsis,Invariant (mathematics),Artificial intelligence,Euclidean geometry,Image resolution,Ambiguity,Photometric stereo
Conference
Volume
Issue
ISSN
2007
1
1063-6919 E-ISBN : 1-4244-1180-7
ISBN
Citations 
PageRank 
1-4244-1180-7
28
1.13
References 
Authors
13
5
Name
Order
Citations
PageRank
Ping Tan1173986.98
Satya P. Mallick222810.70
Long Quan32436169.17
David Kriegman47693451.96
Todd Zickler5155571.72