Title :
Two-View Geometry estimation using the Rodrigues Rotation Formula
Author_Institution :
Comput. Vision & Virtual Reality Lab., Italian Aerosp. Res. Centre, Capua, Italy
Abstract :
The paper presents the applicability of the Rodrigues Rotation Formula (RRF) in the context of Two-Views Geometry estimation. The Epipolar Constraint is usually formulated as the belonging of an image point to its corresponding Epipolar Line, instead using the RRF we will arrange the same constraint in terms of equivalence between 3D unit-norm vectors. This alternative formulation generates a geometrically meaningful error measure, which according to the presented results, provides a significant improvement of the estimation accuracy with respect to the widely used Sampson error, still maintaining a comparable computational cost.
Keywords :
geometry; motion estimation; vectors; 3D unit-norm vectors; Rodrigues rotation formula; Sampson error; epipolar constraint; epipolar line; two-view geometry estimation; Cameras; Estimation; Geometry; Measurement uncertainty; Minimization; Three dimensional displays; Vectors; 2-Views Geometry; Calibrated 3D Reconstruction; Camera Egomotion;
Conference_Titel :
Image Processing (ICIP), 2011 18th IEEE International Conference on
Conference_Location :
Brussels
Print_ISBN :
978-1-4577-1304-0
Electronic_ISBN :
1522-4880
DOI :
10.1109/ICIP.2011.6115593