On the critical set for photogrammetric reconstruction using line tokens in \(\mathbf P_ 3(\mathbb{C}{})\)
type: Item
instance of: scholarly article
title: On the critical set for photogrammetric reconstruction using line tokens in \(\mathbf P_ 3(\mathbb{C}{})\)
zbMATH Open document ID: 0766.51023
DOI: 10.1007/BF00182950
author: Thomas Buchanan
published in: Geometriae Dedicata
publication date: 1993-04-01T00:00:00Z
review text: The computer reconstruction of motion from plane images leads to a problem of reconstructing lines in \({\mathbf P}^ 3\) from 3 plane images assumed in projective correspondence. The critical set is set for which the problem is not unique. For generically positioned centers, the critical set is found to be an irreducible line congruence of order 3, class 6, and 10 singular points, the vertices of the cubic cones in the congruence.
Mathematics Subject Classification ID: 51M30
zbMATH DE Number: 147298
zbMATH Keywords: line geometry
zbMATH Keywords: reconstruction with lines
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00182950
OpenAlex ID: W2003701102
description: scientific article; zbMATH DE number 147298