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Conic geometry and autocalibration from two images

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Ronda Prieto, José Ignacio and Valdés Morales, Antonio (2007) Conic geometry and autocalibration from two images. Journal of Mathematical Imaging and Vision, 28 (2). pp. 135-149. ISSN 0924-9907 (Print) 1573-7683 (Online)

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Official URL: http://link.springer.com/content/pdf/10.1007%2Fs10851-007-0011-z


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Abstract

We show how the classical theory of projective conics provides new insights and results on the problem of 3D reconstruction from two images taken with uncalibrated cameras. The close relationship between Kruppa equations and Poncelet's Porism is investigated, leading, in particular, to a closed-form geometrically meaningful parameterization of the set of Euclidean reconstructions compatible with two images taken with cameras with constant intrinsic parameters and known pixel shape. An experiment with real images, showing the applicability of the method, is included.


Item Type:Article
Uncontrolled Keywords:camera autocalibration; conic geometry; Kruppa configuration; Poncelet's Porism
Subjects:Sciences > Computer science > Artificial intelligence
Sciences > Mathematics > Geometry
ID Code:20247
Deposited On:05 Mar 2013 10:27
Last Modified:12 Dec 2018 15:13

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