NDLI: The critical sets of lines for camera displacement estimation: A mixed Euclidean-projective and constructive approach

Content Provider	IEEE Xplore Digital Library
Author	Navab, N. Faugeras, O.D. Vieville, T.
Copyright Year	1993
Description	Author affiliation: INRIA, Sophia-Antipolis, France (Navab, N.; Faugeras, O.D.; Vieville, T.)
Abstract	The authors consider the problem of recovering the relative displacements of a camera by using line matches in three views. In particular, they try to find whether there exist sets of 3-D lines such that irrespective of how many lines are observed there will always be several solutions to the relative displacement estimation problem. Recently, T. Buchanan (1992) provided a first analysis of the problem in which he gave a positive answer. Here, an attempt is made to build on his work and extend it in several directions. First, his purely projective analysis is cast in a more Euclidean framework better suited to applications. Second, his critical set is related to those of previously published algorithms. Third, the algebraic equations are introduced and an effective, i.e., computational, approach is provided for describing these critical sets in terms of simple geometric properties. This has allowed analysis of the structure of the critical sets.<>
Starting Page	713
Ending Page	723
File Size	1027528
Page Count	11
File Format	PDF
ISBN	0818638702
DOI	10.1109/ICCV.1993.378143
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1993-05-11
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Cameras Layout Computer vision Application software Equations Motion estimation Image analysis Image sequence analysis Kinematics Fasteners
Content Type	Text
Resource Type	Article

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