The KGBR viewpoint-lighting ambiguity.

We address the visual ambiguities that arise in estimating object and scene structure from a set of images when the viewpoint and lighting are unknown. We obtain a novel viewpoint-lighting ambiguity called the KGBR that corresponds to a group of three-dimensional affine transformations on the object or scene geometry combined with transformations on the object or scene albedo. Our analysis assumes orthographic projection with an affine camera model. We include photometric cues, such as shadowing and shading, that we model using Lambertian reflectance functions with shadows (cast and attached) and multiple light sources (but no interreflections). We relate the KGBR to affine ambiguities in estimating shape and to the generalized bas-relief (GBR) ambiguity.

[1]  J J Koenderink,et al.  Affine structure from motion. , 1991, Journal of the Optical Society of America. A, Optics and image science.

[2]  David J. Kriegman,et al.  The Bas-Relief Ambiguity , 2004, International Journal of Computer Vision.

[3]  Michael Werman,et al.  Similarity and Affine Invariant Distances Between 2D Point Sets , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Jan J. Koenderink,et al.  Affine structure and photometry , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[5]  Daniel Snow,et al.  Shape and albedo from multiple images using integrability , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[6]  Gilbert Strang,et al.  Introduction to applied mathematics , 1988 .

[7]  J T Todd,et al.  Perceptual localization of surface position. , 1997, Journal of experimental psychology. Human perception and performance.

[8]  Daniel Snow,et al.  Determining Generative Models of Objects Under Varying Illumination: Shape and Albedo from Multiple Images Using SVD and Integrability , 1999, International Journal of Computer Vision.

[9]  O. Faugeras.  Stratification of three-dimensional vision: projective, affine, and metric representations , 1995 .

[10]  Bernhard P. Wrobel,et al.  Multiple View Geometry in Computer Vision , 2001 .

[11]  Alan L. Yuille,et al.  The KGBR viewpoint-lighting ambiguity and its resolution by generic constraints , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.