Alternative formulation of multilinear constraints with geometric interpretation

Orrin Thomas, Edward R. Oshel

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

1 Scopus citations

Abstract

The typical formulations of multilinear constraints are presented, and manipulated to reveal their geometric meaning. The inherent geometry of the accepted forms of the multilinears shows that they are a subset of possible constraints. It is shown that the alternative derivation of the trilinear constraint used in the Manual of Photogrammetry 5th Edition can be easily generalized to alternative forms of the bilinear and quadrilinear constraints. The practical importance of these conclusions is that it allows formation of superior and more easily implemented constraints that are able to avoid degenerative cases.

Original languageEnglish
Title of host publicationAmerican Society for Photogrammetry and Remote Sensing - American Society for Photogrammetry and Remote Sensing Annual Conf. 2008 - Bridging the Horizons
Subtitle of host publicationNew Frontiers in Geospatial Collaboration
Pages700-709
Number of pages10
StatePublished - 2008
Externally publishedYes
EventAmerican Society for Photogrammetry and Remote Sensing Annual Conference 2008 - Bridging the Horizons: New Frontiers in Geospatial Collaboration - Portland, OR, United States
Duration: Apr 28 2008May 2 2008

Publication series

NameAmerican Society for Photogrammetry and Remote Sensing - ASPRS Annual Conference 2008 - Bridging the Horizons: New Frontiers in Geospatial Collaboration
Volume2

Conference

ConferenceAmerican Society for Photogrammetry and Remote Sensing Annual Conference 2008 - Bridging the Horizons: New Frontiers in Geospatial Collaboration
Country/TerritoryUnited States
CityPortland, OR
Period04/28/0805/2/08

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