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

Volume

18

Issue

9

fYear

1996

fDate

9/1/1996 12:00:00 AM

Firstpage

873

Lastpage

883

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;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/34.537342

Filename

537342