Title :
Relative affine structure: canonical model for 3D from 2D geometry and applications
Author :
Shashua, Amnon ; Navab, Nassir
Author_Institution :
Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
9/1/1996 12:00:00 AM
Abstract :
We propose an affine framework for perspective views, captured by a single extremely simple equation based on a viewer-centered invariant we call relative affine structure. Via a number of corollaries of our main results we show that our framework unifies previous work-including Euclidean, projective and affine-in a natural and simple way, and introduces new, extremely simple algorithms for the tasks of reconstruction from multiple views, recognition by alignment, and certain image coding applications
Keywords :
computational geometry; computer vision; image coding; image reconstruction; motion estimation; object recognition; stereo image processing; 2D geometry; 3D geometry; alignment; canonical model; geometric invariants; image coding; multiple view reconstruction; object recognition; relative affine structure; structure from motion; viewer-centered invariant; Application software; Cameras; Computer vision; Equations; Geometry; Image coding; Image recognition; Image reconstruction; Retina; Solid modeling;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on