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A review of the one-parameter division undistortion model

Erdnüß, B.


The one-parameter division undistortion model by (Lenz, 1987) and (Fitzgibbon, 2001) is a simple radial distortion model with beneficial algebraic properties that allows to reason about some problems analytically that can only be handled numerically in other distortion models. One property of this distortion model is that straight lines in the undistorted image correspond to circles in the distorted image. These circles are fully described by their center point, as the radius can be calculated from the position of the center and the distortion parameter only. This publication collects the properties of this distortion model from several sources and reviews them. Moreover, we show in this publication that the space of this center is projectively isomorphic to the dual space of the undistorted image plane, i.e. its line space. Therefore, projective invariant measurements on the undistorted lines are possible by the according measurements on the centers of the distorted circles. As an example of application, we use this to find the metric distance of two parallel straight rails with known track gauge in a single uncalibrated camera image with significant radial distortion.

Verlagsausgabe §
DOI: 10.5445/IR/1000140748
Veröffentlicht am 02.12.2021
DOI: 10.5194/isprs-annals-V-1-2021-89-2021
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Photogrammetrie und Fernerkundung (IPF)
Publikationstyp Proceedingsbeitrag
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 2194-9042
KITopen-ID: 1000140748
Erschienen in Volume V-1-2021, 2021 | XXIV ISPRS Congress Imaging today, foreseeing tomorrow, Commission I: 2021 edition, 5-9 July 2021. Ed.: N. Paparoditis
Veranstaltung 24th ISPRS Congress (2021), Online, 05.07.2021 – 09.07.2021
Verlag International Society for Photogrammetry and Remote Sensing (ISPRS)
Seiten 89-96
Serie ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences ; 5
Nachgewiesen in Dimensions
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