Paracatadioptric camera calibration using lines

Barreto, Raimundo; Araújo, Filipe

doi:10.1109/iccv.2003.1238648

Cited by 31 publications

(22 citation statements)

References 6 publications

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“…Based on their unified model (see Section 3.1.5), they showed that from two respectively three images of lines, one may fully calibrate a central hyper-catadioptric respectively para-catadioptric camera. They gave an algorithm for the para-catadioptric case; Barreto and Araújo developed an algorithm for hyper-catadioptric cameras [28,31] as well as an improved algorithm for para-catadioptric ones that is able to fully compute the mirror shape [30,32]. Ying and Hu, Vandeportaele et al, and Wu et al gave similar algorithms [518,537,551].…”

Section: Lines -The Plumb-line Approachmentioning

confidence: 99%

Camera Models and Fundamental Concepts Used in Geometric Computer Vision

Sturm

2010

FNT in Computer Graphics and Vision

157

122

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A printed and bound version is available at a special discount price of US35 from Now Publishers. This can be obtained by entering the promotional code CGV006023 on https://www.nowpublishers.com/bookorder.aspx?doi=0600000023&product=CGVInternational audienceThis survey is mainly motivated by the increased availability and use of panoramic image acquisition devices, in computer vision and various of its applications. Different technologies and different computational models thereof exist and algorithms and theoretical studies for geometric computer vision ("structure-from-motion") are often re-developed without highlighting common underlying principles. One of the goals of this survey is to give an overview of image acquisition methods used in computer vision and especially, of the vast number of camera models that have been proposed and investigated over the years, where we try to point out similarities between different models. Results on epipolar and multi-view geometry for different camera models are reviewed as well as various calibration and self-calibration approaches, with an emphasis on non-perspective cameras. We finally describe what we consider are fundamental building blocks for geometric computer vision or structure-from-motion: epipolar geometry, pose and motion estimation, 3D scene modeling, and bundle adjustment. The main goal here is to highlight the main principles of these, which are independent of specific camera models

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Section: Lines -The Plumb-line Approachmentioning

confidence: 99%

Camera Models and Fundamental Concepts Used in Geometric Computer Vision

Sturm

2010

FNT in Computer Graphics and Vision

157

122

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“…This fact is explored in [21] in order to calibrate the sensor using the image of lines. A similar approach can be applied for the estimation of lens distortion.…”

Section: Methodsmentioning

confidence: 99%

“…Thus, a conic X 0 is the paracatadioptric image of a line if, and only if, it goes through the circular points and satisfies R 0T X 0 T 0 = 0. This result has been used in [21,22] in order to constrain the search space and accurately estimate line projections in the paracatadioptric image plane.…”

Section: Line Projection In Paracatadioptric Camerasmentioning

confidence: 99%

A unifying geometric representation for central projection systems

Barreto

2006

Computer Vision and Image Understanding

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In this paper, we study projection systems with a single effective viewpoint, including combinations of mirrors and lenses (catadioptric) as well as just lenses with or without radial distortion (dioptric systems). First, we extend a well-known unifying model for central catadioptric systems to incorporate a class of dioptric systems with radial distortion. Second, we provide a new representation for the image plane of central systems. This representation is the lifting through a Veronese map of the original image plane to the 5D projective space. We study how a collineation in the original image plane can be transferred to a collineation in the lifted space, and we prove that in the case of central parabolic systems and cameras with lens distortion the locus of the lifted points representing projections of world lines is a plane. The similarities between paracatadioptric systems and lens with radial distortion are emphasized by extending to the latter algorithms initially established for the former.

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“…This is a common problem as well in perspective vision [7], [6] as in omnidirectional vision [8], [9], [10]. Marchand et al [6] proposed a virtual visual servoing (VVS) based perspective camera calibration.…”

Section: A Overwiewmentioning

confidence: 99%

Single viewpoint stereoscopic sensor calibration

Caron

Mouaddib

Marchand

2010

2010 5th International Symposium on I/v Communications and Mobile Network

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Abstract-Calibration is a classical issue in computer vision. This work presents a camera calibration approach for single viewpoint cameras which can be modeled by the unified spherical projection. The paper extends the method of perspective camera calibration using virtual visual servoing, to central cameras and particularly to omnidirectional cameras. The contribution is the development of simultaneous intrinsic and extrinsic calibration of N central cameras stereo rig.

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Paracatadioptric camera calibration using lines

Abstract: Abstract

Cited by 31 publications

References 6 publications

Camera Models and Fundamental Concepts Used in Geometric Computer Vision

Camera Models and Fundamental Concepts Used in Geometric Computer Vision

A unifying geometric representation for central projection systems

Single viewpoint stereoscopic sensor calibration

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