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A New Geometrical Interpretation of Trilinear Constraints

Feng, Xiaolin and Bouguet, Jean-Yves and Perona, Pietro (2000) A New Geometrical Interpretation of Trilinear Constraints. In: ACCV2000 : Proceedings of the Fourth Asian Conference on Computer Vision. National Chiao Tung University , Hsinchu, Taiwan. http://resolver.caltech.edu/CaltechAUTHORS:20161012-132516810

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Abstract

We give a new geometrical interpretation of the well-known algebraic trilinear constraints used in motion analysis from three views observation. We show that those algebraic equations correspond to depth errors appropriately weighted by a function of the relative reliability of the corresponding measurements. Therefore directly minimizing the algebraic trilinear equations, in the least squares sense, is a strategy that works well for estimating motion. In addition, we propose a new scheme for recovering the scale factor for motion estimation that is very insensitive to input noise. All our theoretical statements are supported by experimental results.


Item Type:Book Section
ORCID:
AuthorORCID
Perona, Pietro0000-0002-7583-5809
Additional Information:© 2000 National Chiao Tung University.
Subject Keywords:trilinear constraints, geometry, weighted depth error
Record Number:CaltechAUTHORS:20161012-132516810
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161012-132516810
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71024
Collection:CaltechAUTHORS
Deposited By: SWORD User
Deposited On:12 Oct 2016 21:56
Last Modified:12 Oct 2016 21:56

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