Automatically assigned DDC number: 00637

Manually assigned DDC number: 00637

Title: Trilinearity of Three Perspective Views and its Associated Tensor

Author:

Author:

Subject: Amnon Shashua,Michael Werman Trilinearity of Three Perspective Views and its Associated Tensor

Description: It has been established that certain trilinear froms of three perspective views give rise to a tensor of 27 intrinsic coefficients [11]. We show in this paper that a permutation of the the trilinear coefficients produces three homography matrices (projective transformations of planes) of three distinct intrinsic planes, respectively. This, in turn, yields the result that 3D invariants are recovered directly --- simply by appropriate arrangement of the tensor's coefficients. On a secondary level, we show new relations between fundamental matrix, epipoles, Euclidean structure and the trilinear tensor. On the practical side, the new results extend the existing envelope of methods of 3D recovery from 2D views --- for example, new linear methods that cut through the epipolar geometry, and new methods for computing epipolar geometry using redundancy available across many views. 1 Introduction Given that three-dimensional (3D) objects in the world are modeled by point sets, then their proje...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 1997-07-13

Pubyear: 1995

Format: ps

Identifier: http://citeseer.ist.psu.edu/140160.html

Source: http://www.cs.huji.ac.il/~shashua/papers/sw-iccv95-final.ps.gz

Language: en

Rights: unrestricted

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