Trilinear tensor: The fundamental construct of multiple-view geometry and its applications

Amnon Shashua*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

18 Scopus citations

Abstract

The topic of representation, recovery and manipulation of three-dimensional (3D) scenes from two-dimensional (2D) images thereof, provides a fertile ground for both intellectual theoretically inclined questions related to the algebra and geometry of the problem and to practical applications such as Visual Recognition, Animation and View Synthesis, recovery of scene structure and camera ego-motion, object detection and tracking, multi-sensor alignment, etc. The basic materials have been known since the turn of the century, but the full scope of the problem has been under intensive study since 1992, first on the algebra of two views and then on the algebra of multiple views leading to a relatively mature understanding of what is known as “multilinear matching constraints”, and the “trilinear tensor” of three or more views. The purpose of this paper is, first and foremost, to provide a coherent framework for expressing the ideas behind the analysis of multiple views. Secondly, to integrate the various incremented results that have appeared on the subject into one coherent manuscript.

Original languageAmerican English
Title of host publicationAlgebraic Frames for the Perception-Action Cycle - International Workshop, AFPAC 1997, Proceedings
EditorsGerald Sommer, Jan J. Koenderink
PublisherSpringer Verlag
Pages190-206
Number of pages17
ISBN (Print)3540635173, 9783540635178
DOIs
StatePublished - 1997
EventInternational Workshop on Algebraic Frames for the Perception and Action Cycle, AFPAC 1997 - Kiel, Germany
Duration: 8 Sep 19979 Sep 1997

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1315
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceInternational Workshop on Algebraic Frames for the Perception and Action Cycle, AFPAC 1997
Country/TerritoryGermany
CityKiel
Period8/09/979/09/97

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1997.

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