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Robust wide baseline stereo from maximally stable extremal regions

by J. Matas, O. Chum, M. Urban, T. Pajdla - In Proc. BMVC , 2002
"... The wide-baseline stereo problem, i.e. the problem of establishing correspon-dences between a pair of images taken from different viewpoints is studied. A new set of image elements that are put into correspondence, the so called extremal regions, is introduced. Extremal regions possess highly de-sir ..."
Abstract - Cited by 1016 (35 self) - Add to MetaCart
The wide-baseline stereo problem, i.e. the problem of establishing correspon-dences between a pair of images taken from different viewpoints is studied. A new set of image elements that are put into correspondence, the so called extremal regions, is introduced. Extremal regions possess highly de

Learning methods for generic object recognition with invariance to pose and lighting

by Yann Lecun, Fu Jie Huang, Léon Bottou - In Proceedings of CVPR’04 , 2004
"... We assess the applicability of several popular learning methods for the problem of recognizing generic visual categories with invariance to pose, lighting, and surrounding clutter. A large dataset comprising stereo image pairs of 50 uniform-colored toys under 36 angles, 9 azimuths, and 6 lighting co ..."
Abstract - Cited by 253 (18 self) - Add to MetaCart
We assess the applicability of several popular learning methods for the problem of recognizing generic visual categories with invariance to pose, lighting, and surrounding clutter. A large dataset comprising stereo image pairs of 50 uniform-colored toys under 36 angles, 9 azimuths, and 6 lighting

Invariants of a Pair of Conies Revisited

by Long Quan, Patrick Gros, Roger Mohr
"... The invariants of a pair of quadratic forms and a pair of coplanar conies are revisited following [1, 5, 2]. For a given pair of conies, with their associated matrices Ci and C2, we show that Trace(Cj 1 Ci), Trac^C ^ 1 C2) and |Ci |/|C21 are only invariants of associated quadratic forms, but not inv ..."
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The invariants of a pair of quadratic forms and a pair of coplanar conies are revisited following [1, 5, 2]. For a given pair of conies, with their associated matrices Ci and C2, we show that Trace(Cj 1 Ci), Trac^C ^ 1 C2) and |Ci |/|C21 are only invariants of associated quadratic forms

Two dimensional gauge theories revisited

by Edward Witten, Olden Lane - J. Geom. Phys , 1992
"... Two dimensional quantum Yang-Mills theory is reexamined using a non-abelian version of the Duistermaat-Heckman integration formula to carry out the functional integral. This makes it possible to explain properties of the theory that are inaccessible to standard methods and to obtain general expressi ..."
Abstract - Cited by 200 (3 self) - Add to MetaCart
expressions for intersection pairings on moduli spaces of flat connections on a two dimensional surface. The latter expressions agree, for gauge group SU(2), with formulas obtained recently by several methods. This paper will be devoted to a renewed study of two dimensional Yang-Mills theory without matter, a

The Eta Pairing Revisited

by F. Hess, N. Smart, Frederik Vercauteren - IEEE TRANSACTIONS ON INFORMATION THEORY , 2006
"... In this paper we simplify and extend the Eta pairing, originally discovered in the setting of supersingular curves by Barreto et al., to ordinary curves. Furthermore, we show that by swapping the arguments of the Eta pairing, one obtains a very efficient algorithm resulting in a speed-up of a fact ..."
Abstract - Cited by 116 (9 self) - Add to MetaCart
In this paper we simplify and extend the Eta pairing, originally discovered in the setting of supersingular curves by Barreto et al., to ordinary curves. Furthermore, we show that by swapping the arguments of the Eta pairing, one obtains a very efficient algorithm resulting in a speed-up of a

Data Association in Stochastic Mapping Using the Joint Compatibility Test

by Jose Neira, Juan D. Tards , 2001
"... In this paper, we address the problem of robust data association for simultaneous vehicle localization and map building. We show that the classical gated nearest neighbor approach, which considers each matching between sensor observations and features independently, ignores the fact that measurement ..."
Abstract - Cited by 252 (15 self) - Add to MetaCart
that measurement prediction errors are correlated. This leads to easily accepting incorrect matchings when clutter or vehicle errors increase. We propose a new measurement of the joint compatibility of a set of pairings that successfully rejects spurious matchings. We show experimentally that this restrictive

Minimum energy mobile wireless networks revisited

by Xiang-yang Li, Peng-jun Wan - In IEEE International Conference on Communications (ICC , 2001
"... Energy conservation is a critical issue in designing wireless ad hoc networks, as the nodes are powered by batteries only. Given a set of wireless network nodes, the directed weighted transmission graph Gt has an edge uv if and only if node v is in the transmission range of node u and the weight of ..."
Abstract - Cited by 170 (6 self) - Add to MetaCart
of uv is typically defined as II,,vll + c for a constant 2 <_ t ~ < 5 and c> O. The minimum power topology Gm is the smallest subgraph of Gt that contains the shortest paths between all pairs of nodes, i.e., the union of all shortest paths. In this paper, we described a distributed position

DEGENERATE CONICS REVISITED

by Hans Havlicek
"... In a desarguesian projective plane we discuss those degenerate conics whose parameters have degree two over the centre of the underlying skew field. Such degenerate conics are closely related with Baer subplanes. This relationship enables us to improve and reformulate in a geometric language some th ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
In a desarguesian projective plane we discuss those degenerate conics whose parameters have degree two over the centre of the underlying skew field. Such degenerate conics are closely related with Baer subplanes. This relationship enables us to improve and reformulate in a geometric language some

Invariant of a Pair of Non-coplanar Conics in Space: Definition, Geometric interpretation and Computation

by Long Quan - In Int. Conf. Computer Vision , 1995
"... The joint invariants of a pair of coplanar conics has been widely used in recent vision literature. In this paper, the algebraic invariant of a pair of non-coplanar conics in space is concerned. The algebraic invariant of a pair of non-coplanar conics is first derived from the invariant algebra of a ..."
Abstract - Cited by 6 (3 self) - Add to MetaCart
The joint invariants of a pair of coplanar conics has been widely used in recent vision literature. In this paper, the algebraic invariant of a pair of non-coplanar conics in space is concerned. The algebraic invariant of a pair of non-coplanar conics is first derived from the invariant algebra

Double Description Method Revisited

by Komei Fukuda, Alain Prodon , 1996
"... . The double description method is a simple and useful algorithm for enumerating all extreme rays of a general polyhedral cone in IR d , despite the fact that we can hardly state any interesting theorems on its time and space complexities. In this paper, we reinvestigate this method, introduce som ..."
Abstract - Cited by 109 (2 self) - Add to MetaCart
some new ideas for efficient implementations, and show some empirical results indicating its practicality in solving highly degenerate problems. 1 Introduction A pair (A; R) of real matrices A and R is said to be a double description pair or simply a DD pair if the relationship Ax 0 if and only if x
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