On calibration and reconstruction from planar curves

Jeremy Yermiyahou Kaminski, Amnon Shashua

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

10 Scopus citations

Abstract

We describe in this paper closed-form solutions to the following problems in multi-view geometry of n’th order curves: (i) recovery of the fundamental matrix from 4 or more conic matches in two views, (ii) recovery of the homography matrix from a single n’th order (n ≥ 3) matching curve and, in turn, recovery of the fundamental matrix from two matching n’th order planar curves, and (iii) 3D reconstruction of a planar algebraic curve from two views. Although some of these problems, notably (i) and (iii), were introduced in the past [15,3], our derivations are analytic with resulting closed form solutions. We have also conducted synthetic experiments on (i) and real image experiments on (ii) and (iii) with subpixel performance levels, thus demonstrating the practical use of our results.

Original languageAmerican English
Title of host publicationComputer Vision - ECCV 2000 - 6th European Conference on Computer Vision, Proceedings
EditorsDavid Vernon
PublisherSpringer Verlag
Pages678-694
Number of pages17
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 'On calibration and reconstruction from planar curves'. Together they form a unique fingerprint.

Cite this