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Ray geometry in non-pinhole cameras: a survey
- VIS COMPUT
, 2013
"... A pinhole camera collects rays passing through a common 3D point and its image resembles what would be seen by human eyes. In contrast, a non-pinhole (multiperspective) camera combines rays collected by different viewpoints. Despite their incongruity of view, their images are able to preserve spatia ..."
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Cited by 2 (2 self)
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A pinhole camera collects rays passing through a common 3D point and its image resembles what would be seen by human eyes. In contrast, a non-pinhole (multiperspective) camera combines rays collected by different viewpoints. Despite their incongruity of view, their images are able to preserve spatial coherence and can depict, within a single context, details of a scene that are simultaneously inaccessible from a single view, yet easily interpretable by a viewer. In this paper, we thoroughly discuss the design, modeling, and implementation of a broad class of nonpinhole cameras and their applications in computer graphics and vision. These include mathematical (conceptual) camera models such as the General Linear Cameras and real non-pinhole cameras such as catadioptric cameras and projectors. A unique component of this paper is a ray geometry analysis that uniformly models these non-pinhole cameras as manifolds of rays and ray constraints. We also model the thin lens as a ray transform and study how ray geometry is changed by the thin lens for studying distortions and defocusing. We hope to provide mathematical fundamentals to satisfy computer vision researchers as well as tools and algorithms to aid computer graphics and optical engineering researchers.
Camera calibration for miniature, low-cost, wide-angle imaging systems ∗
"... This paper presents a new model and an extension to an existing algorithm for camera calibration. The main goal of the proposed approach is to calibrate miniature, low-cost, wide-angle fisheye lenses. The model has been verified with a calibration implementation and was tested on real data. Experime ..."
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This paper presents a new model and an extension to an existing algorithm for camera calibration. The main goal of the proposed approach is to calibrate miniature, low-cost, wide-angle fisheye lenses. The model has been verified with a calibration implementation and was tested on real data. Experiments show that the proposed model improves the accuracy compared to the original algorithm. Results show that the extension not only performs well with fisheye lenses but also with omnidirectional catadioptric lenses as well as other less distorted dioptric lenses. 1 Motivation and Related Work Wide-angle, hemispherical or omnidirectional camera systems have become more popular in the last few years. Especially in robotic applications, wide-angle sensors are favourable for perception and navigation problems. A precise calibration is needed in order to infer accurate bearing information for the 2D pixel information. Three different types of calibration methods can be distinguished. The most common
radially distorted non-central
"... single-perspective novel panoramic view from ..."
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Multi-View 3D Reconstruction from Uncalibrated Radially-Symmetric Cameras
"... We present a new multi-view 3D Euclidean reconstruc-tion method for arbitrary uncalibrated radially-symmetric cameras, which needs no calibration or any camera model parameters other than radial symmetry. It is built on the radial 1D camera model [25], a unified mathematical ab-straction to differen ..."
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We present a new multi-view 3D Euclidean reconstruc-tion method for arbitrary uncalibrated radially-symmetric cameras, which needs no calibration or any camera model parameters other than radial symmetry. It is built on the radial 1D camera model [25], a unified mathematical ab-straction to different types of radially-symmetric cameras. We formulate the problem of multi-view reconstruction for radial 1D cameras as a matrix rank minimization prob-lem. Efficient implementation based on alternating direc-tion continuation is proposed to handle scalability issue for real-world applications. Our method applies to a wide range of omnidirectional cameras including both dioptric and catadioptric (central and non-central) cameras. Ad-ditionally, our method deals with complete and incomplete measurements under a unified framework elegantly. Exper-iments on both synthetic and real images from various types of cameras validate the superior performance of our new method, in terms of numerical accuracy and robustness. 1.
