Homography tensors: On algebraic entities that represent three views of static or moving planar points

Amnon Shashua, Lior Wolf

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

29 Scopus citations

Abstract

We introduce a 3 × 3 × 3 tensor Hijk and its dual Hijk which represent the 2D projective mapping of points across three projections (views). The tensor Hijk is a generalization of the well known 2D collineation matrix (homography matrix) and it concatenates two homography matrices to represent the joint mapping across three views. The dual tensor Hijk concatenates two dual homography matrices (mappings of line space) and is responsible for representing the mapping associated with moving points along straight-line paths, i.e., Hijk can be recovered from line-of-sight measurements only.

Original languageAmerican English
Title of host publicationComputer Vision - ECCV 2000 - 6th European Conference on Computer Vision, Proceedings
EditorsDavid Vernon
PublisherSpringer Verlag
Pages507-521
Number of pages15
ISBN (Print)3540676856
DOIs
StatePublished - 2000
Event6th European Conference on Computer Vision, ECCV 2000 - Dublin, Ireland
Duration: 26 Jun 20001 Jul 2000

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1842
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference6th European Conference on Computer Vision, ECCV 2000
Country/TerritoryIreland
CityDublin
Period26/06/001/07/00

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2000.

Fingerprint

Dive into the research topics of 'Homography tensors: On algebraic entities that represent three views of static or moving planar points'. Together they form a unique fingerprint.

Cite this