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3,428
Good features to track
, 1994
"... No featurebased vision system can work unless good features can be identified and tracked from frame to frame. Although tracking itself is by and large a solved problem, selecting features that can be tracked well and correspond to physical points in the world is still hard. We propose a feature se ..."
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Cited by 2050 (14 self)
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selection criterion that is optimal by construction because it is based on how the tracker works, and a feature monitoring method that can detect occlusions, disocclusions, and features that do not correspond to points in the world. These methods are based on a new tracking algorithm that extends previous
Robust wide baseline stereo from maximally stable extremal regions
 In Proc. BMVC
, 2002
"... The widebaseline stereo problem, i.e. the problem of establishing correspondences 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 desir ..."
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Cited by 1016 (35 self)
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sirable properties: the set is closed under 1. continuous (and thus projective) transformation of image coordinates and 2. monotonic transformation of image intensities. An efficient (near linear complexity) and practically fast detection algorithm (near frame rate) is presented for an affinelyinvariant stable
The homogeneous coordinate ring of a toric variety
, 1992
"... This paper will introduce the homogeneous coordinate ring S of a toric variety X. The ring S is a polynomial ring with one variable for each onedimensional cone in the fan ∆ determining X, and S has a natural grading determined by the monoid of effective divisor classes in the Chow group An−1(X) of ..."
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Cited by 474 (7 self)
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be constructed as the quotient (C n+1 −{0})/C ∗. In §2, we will see that there is a similar construction for any toric variety X. In this case, the algebraic group G = HomZ(An−1(X), C ∗ ) acts on an affine space C ∆(1) such that the categorical quotient (C ∆(1) − Z)/G exists and is isomorphic to X
Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties
 J. Alg. Geom
, 1994
"... We consider families F(∆) consisting of complex (n − 1)dimensional projective algebraic compactifications of ∆regular affine hypersurfaces Zf defined by Laurent polynomials f with a fixed ndimensional Newton polyhedron ∆ in ndimensional algebraic torus T = (C ∗ ) n. If the family F(∆) defined by ..."
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Cited by 467 (20 self)
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We consider families F(∆) consisting of complex (n − 1)dimensional projective algebraic compactifications of ∆regular affine hypersurfaces Zf defined by Laurent polynomials f with a fixed ndimensional Newton polyhedron ∆ in ndimensional algebraic torus T = (C ∗ ) n. If the family F(∆) defined
On Unitary irreducible representation of ̂so(1, n), Action of its Universal Enveloping Algebra, and the
, 1999
"... We describe a unitary, nonhighest weight, irreducible representation of ̂so(1,n); the action of its universal enveloping algebra on representation; and discuss the affine Sugawara construction for such representation. IHES, Le BoisMarie 35, route de Chartres F91440, BuressurYvette, France; ..."
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Cited by 1 (0 self)
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We describe a unitary, nonhighest weight, irreducible representation of ̂so(1,n); the action of its universal enveloping algebra on representation; and discuss the affine Sugawara construction for such representation. IHES, Le BoisMarie 35, route de Chartres F91440, BuressurYvette, France;
Geometric Realization of the SegalSugawara Construction
 IN TOPOLOGY, GEOMETRY AND QUANTUM FIELD THEORY
, 2003
"... We apply the technique of localization for vertex algebras to the SegalSugawara construction of an “internal ” action of the Virasoro algebra on affine KacMoody algebras. The result is a lifting of twisted differential operators from the moduli of curves to the moduli of curves with bundles, wit ..."
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Cited by 15 (4 self)
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We apply the technique of localization for vertex algebras to the SegalSugawara construction of an “internal ” action of the Virasoro algebra on affine KacMoody algebras. The result is a lifting of twisted differential operators from the moduli of curves to the moduli of curves with bundles
Sugawara construction and Casimir operators for KricheverNovikov algebras
 Journ. Math.Sci
, 1998
"... Abstract. We show how to obtain from highest weight representations of KricheverNovikov algebras of affine type (also called higher genus affine KacMoody algebras) representations of centrally extended KricheverNovikov vector field algebras via the Sugawara construction. This generalizes classica ..."
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Cited by 22 (12 self)
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Abstract. We show how to obtain from highest weight representations of KricheverNovikov algebras of affine type (also called higher genus affine KacMoody algebras) representations of centrally extended KricheverNovikov vector field algebras via the Sugawara construction. This generalizes
ON HIGHER ORDER SUGAWARA OPERATORS
, 2008
"... The higher Sugawara operators acting on the Verma modules over the affine Kac–Moody algebra at the critical level are related to the higher Hamiltonians of the Gaudin model due to work of Feigin, Frenkel and Reshetikhin. An explicit construction of the higher Hamiltonians in the case of gl n was g ..."
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Cited by 10 (1 self)
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The higher Sugawara operators acting on the Verma modules over the affine Kac–Moody algebra at the critical level are related to the higher Hamiltonians of the Gaudin model due to work of Feigin, Frenkel and Reshetikhin. An explicit construction of the higher Hamiltonians in the case of gl n
On HigherOrder Sugawara Operators
, 2009
"... The higher Sugawara operators acting on the Verma modules over the affine Kac–Moody algebra at the critical level are related to the higher Hamiltonians of the Gaudin model due to the work of Feigin, Frenkel, and Reshetikhin [8]. An explicit construction of the higher Hamiltonians in the case of gln ..."
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Cited by 2 (0 self)
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The higher Sugawara operators acting on the Verma modules over the affine Kac–Moody algebra at the critical level are related to the higher Hamiltonians of the Gaudin model due to the work of Feigin, Frenkel, and Reshetikhin [8]. An explicit construction of the higher Hamiltonians in the case
The Sugawara generators at arbitrary level
 SUBMITTED TO COMMUN. MATH. PHYS.
, 1996
"... We construct an explicit representation of the Sugawara generators for arbitrary level in terms of the homogeneous Heisenberg subalgebra, which generalizes the wellknown expression at level 1. This is achieved by employing a physical vertex operator realization of the affine algebra at arbitrary ..."
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Cited by 3 (1 self)
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We construct an explicit representation of the Sugawara generators for arbitrary level in terms of the homogeneous Heisenberg subalgebra, which generalizes the wellknown expression at level 1. This is achieved by employing a physical vertex operator realization of the affine algebra at arbitrary
Results 1  10
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