Results 1 - 10 of 75

Transformation of Panoramic Images: from hyperbolic mirror with central projection to parabolic mirror with orthogonal projection

by Martin Urban, Tomas Svoboda, Tomas Pajdla , 2000
"... . The report describes a reprojection of images from calibrated catadioptric panoramic cameras. The proposed reprojection simplies epipolar conic representation and is motivated by the task of recovering dense point correspondences between pair of catadioptric panoramic images. 1 Introduction The s ..."
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The subject of the paper is a reprojection of an image taken by a perspective camera looking at a hyperbolic mirror to an image taken by an orthographic camera looking at a parabolic mirror. The motivation is the task of recovering dense point correspondences between pair of Catadioptric Panoramic Images [5

Central Panoramic Cameras: Geometry and Design

by Tomás Svoboda , 1997
"... This report gives the foundations of panoramic stereo vision by presenting the analysis of epipolar geometry for panoramic cameras. We show that the panoramic cameras with convex hyperbolic or parabolic mirrors, so called central panoramic cameras, allow the same epipolar geometry as perspective cam ..."
Abstract - Cited by 20 (5 self) - Add to MetaCart
This report gives the foundations of panoramic stereo vision by presenting the analysis of epipolar geometry for panoramic cameras. We show that the panoramic cameras with convex hyperbolic or parabolic mirrors, so called central panoramic cameras, allow the same epipolar geometry as perspective

Central Panoramic Cameras: Design and Geometry

by Tomás Svoboda, Tomás Pajdla , 1998
"... This contribution gives the foundations of the useful panoramic cameras for stereo vision. The approach to a perspective camera-hyperbolic mirror system design is presented. The model of image formation by a central panoramic camera is defined. The analysis of epipolar geometry for panoramic cameras ..."
Abstract - Cited by 38 (4 self) - Add to MetaCart
This contribution gives the foundations of the useful panoramic cameras for stereo vision. The approach to a perspective camera-hyperbolic mirror system design is presented. The model of image formation by a central panoramic camera is defined. The analysis of epipolar geometry for panoramic

Epipolar Geometry for Panoramic Cameras

by Tomás Svoboda, Tomás Pajdla , 1998
"... . This paper presents fundamental theory and design of central panoramic cameras. Panoramic cameras combine a convex hyperbolic or parabolic mirror with a perspective camera to obtain a large field of view. We show how to design a panoramic camera with a tractable geometry and we propose a simple ca ..."
Abstract - Cited by 74 (10 self) - Add to MetaCart
. This paper presents fundamental theory and design of central panoramic cameras. Panoramic cameras combine a convex hyperbolic or parabolic mirror with a perspective camera to obtain a large field of view. We show how to design a panoramic camera with a tractable geometry and we propose a simple

Calabi-Yau algebras

by Victor Ginzburg , 2007
"... We introduce some new algebraic structures arising naturally in the geometry of CY manifolds and mirror symmetry. We give a universal construction of CY algebras in terms of a noncommutative symplectic DG algebra resolution. In dimension 3, the resolution is determined by a noncommutative potentia ..."
Abstract - Cited by 151 (1 self) - Add to MetaCart
We introduce some new algebraic structures arising naturally in the geometry of CY manifolds and mirror symmetry. We give a universal construction of CY algebras in terms of a noncommutative symplectic DG algebra resolution. In dimension 3, the resolution is determined by a noncommutative

Motion Estimation Using Central Panoramic Cameras

by Tomas Svoboda , 1998
"... This paper addresses the motion estimation from an image sequence taken by a panoramic camera mounted on a mobile robot. We expose how to design panoramic camera with tractable geometry. We combine a perspective camera with a hyperbolic mirror. We show that such camera allow motion estimation in the ..."
Abstract - Cited by 31 (4 self) - Add to MetaCart
This paper addresses the motion estimation from an image sequence taken by a panoramic camera mounted on a mobile robot. We expose how to design panoramic camera with tractable geometry. We combine a perspective camera with a hyperbolic mirror. We show that such camera allow motion estimation

FUNDAMENTAL REFLECTION DOMAINS FOR HYPERBOLIC TESSELLATIONS

by Jake Grosek
"... Abstract. This paper summarizes Vinberg’s algorithm [1] for finding the subgroup generated by reflections of the group of integral matrices that preserve particular quadratic forms of signature (n, 1). Also, many fundamental reflection domains of different hyperboloids, found by the author using Vin ..."
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Vinberg’s algorithm, are listed in this paper. Plus, Matlab code, written by the author, is included, which serves to help one discover potential perpendicular vectors to the hyperplanes (mirrors) that bound the fundamental domain. 1.

Triangulations of 3-manifolds, hyperbolic relative . . .

by François Costantino, Roberto Frigerio, Bruno Martelli, Carlo Petronio , 2008
"... We establish a bijective correspondence between the set Tn of 3-dimensional triangulations with n tetrahedra and a certain class Hn of relative handlebodies (i.e. handlebodies with boundary loops, as defined by Johannson) of genus n + 1. We show that the manifolds in Hn are hyperbolic (with geodesic ..."
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geodesic boundary, and cusps corresponding to the loops), have least possible volume, and simplest boundary loops. Mirroring the elements of Hn in their geodesic boundary we obtain a set Dn of cusped hyperbolic manifolds, previously considered by D. Thurston and the first named author. We show that also Dn

The arithmetic mirror symmetry and Calabi–Yau manifolds

by Valeri A. Gritsenko, Viacheslav V. Nikulin - Preprint RIMS Kyoto Univ. RIMS-1129 , 1997
"... Abstract. We extend our variant of mirror symmetry for K3 surfaces [GN3] and clarify its relation with mirror symmetry for Calabi–Yau manifolds. We introduce two classes (for the models A and B) of Calabi–Yau manifolds fibrated by K3 surfaces with some special Picard lattices. These two classes are ..."
Abstract - Cited by 21 (14 self) - Add to MetaCart
of the Calabi–Yau manifolds. In [GN3] we suggested a variant of mirror symmetry for K3 surfaces which is related with reflection groups in hyperbolic spaces and automorphic forms on IV

UNIVERSITY Panoramic Imaging with SVAVISCA Camera- Simulations and Reality

by Hadas Roth , 2000
"... An OMNIVIEWS catadioptric camera combines a curved mirror with a variant resolution imaging sensor. The goal is to obtain panoramic images with large view angle, suitable image formation geometry, and controlled resolution variation across the field of view. We present simulations of an OMNIVIEWS ca ..."
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camera and compare them with real images taken by a combination of a hyperbolic mirror with a log-polar SVAVISCA imager. The experiments show that the simulations correspond to reality and can be used for further OMNIVIEWS camera design. Two auxiliary observations are made. Firstly, it is better to use
Results 1 - 10 of 75