On geometric and algebraic aspects of 3D affine and projective structures from perspective 2D views

Amnon Shashua*

*Corresponding author for this work

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

3 Scopus citations

Abstract

This paper investigates the differences — conceptually and algorithmically — between affine and projective frameworks for the tasks of visual recognition and reconstruction from perspective views. The study is made by first proposing an affine framework for perspective views, captured by a single remarkably simple equation, which is based on a viewer-centered invariant we call relative affine structure. Via corollaries of the main result we make connections to previous work and show that Euclidean, affine and projective structure representations can be obtained by simple specializations and generalizations of our main results.

Original languageAmerican English
Title of host publicationApplications of Invariance in Computer Vision - 2nd Joint European - US Workshop, Proceedings
EditorsJoseph L. Mundy, Andrew Zisserman, David Forsyth
PublisherSpringer Verlag
Pages127-143
Number of pages17
ISBN (Print)9783540582403
DOIs
StatePublished - 1994
Externally publishedYes
Event2nd Joint European–US Workshop on Applications of Invariance in Computer Vision, 1993 - Azores, Portugal
Duration: 9 Oct 199314 Oct 1993

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume825 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2nd Joint European–US Workshop on Applications of Invariance in Computer Vision, 1993
Country/TerritoryPortugal
CityAzores
Period9/10/9314/10/93

Bibliographical note

Publisher Copyright:
© 1994, Springer Verlag. All rights reserved.

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