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A New Linear Method for Camera Self-Calibration with Planar Motion

Authors
  • Espuny, Ferran1
  • 1 Universitat de Barcelona, Departament d’Àlgebra i Geometria, Spain , (Spain)
Type
Published Article
Journal
Journal of Mathematical Imaging and Vision
Publisher
Kluwer Academic Publishers
Publication Date
Sep 21, 2006
Volume
27
Issue
1
Pages
81–88
Identifiers
DOI: 10.1007/s10851-006-9699-4
Source
Springer Nature
Keywords
License
Yellow

Abstract

We consider the self-calibration (affine and metric reconstruction) problem from images acquired with a camera with unchanging internal parameters undergoing planar motion. The general self-calibration methods (modulus constraint, Kruppa equations) are known to fail with this camera motion. In this paper we give two novel linear constraints on the coordinates of the plane at infinity in a projective reconstruction for any camera motion. In the planar case, we show that the two constraints are equivalent and easy to compute, giving us a linear version of the quartic modulus constraint. Using this fact, we present a new linear method to solve the self-calibration problem with planar motion of the camera from three or more images.

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