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193
Face recognition from a single training image under arbitrary unknown lighting using spherical harmonics
 IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
, 2006
"... In this paper, we propose two novel methods for face recognition under arbitrary unknown lighting by using spherical harmonics illumination representation, which require only one training image per subject and no 3D shape information. Our methods are based on the recent result which demonstrated th ..."
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Cited by 58 (3 self)
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In this paper, we propose two novel methods for face recognition under arbitrary unknown lighting by using spherical harmonics illumination representation, which require only one training image per subject and no 3D shape information. Our methods are based on the recent result which demonstrated
SPHERICAL VARIETIES WITH THE A2PROPERTY GIULIANO GAGLIARDI
"... Abstract. We show that a spherical variety has the A2property, i.e. any two points are contained inside an affine open neighbourhood, if and only if the relative interiors of any two cones of its colored fan do not intersect. ..."
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Abstract. We show that a spherical variety has the A2property, i.e. any two points are contained inside an affine open neighbourhood, if and only if the relative interiors of any two cones of its colored fan do not intersect.
ON ORBIT CLOSURES OF BOREL SUBGROUPS IN SPHERICAL VARIETIES
"... Let F be the flag variety of a complex semisimple group G, let H be an algebraic subgroup of G acting on F with finitely many orbits, and let V be an Horbit closure in F. Expanding the cohomology class of V in the basis of Schubert classes defines a union V0 of Schubert varieties in F with positiv ..."
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Cited by 2 (0 self)
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Let F be the flag variety of a complex semisimple group G, let H be an algebraic subgroup of G acting on F with finitely many orbits, and let V be an Horbit closure in F. Expanding the cohomology class of V in the basis of Schubert classes defines a union V0 of Schubert varieties in F
Affine pavings of Hessenberg varieties for semisimple groups
"... Abstract. In this paper we consider certain closed subvarieties of the flag variety, known as Hessenberg varieties. We prove that Hessenberg varieties corresponding to nilpotent elements which are regular in a Levi factor are paved by affines. We provide a partial reduction from paving Hessenberg va ..."
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Cited by 5 (1 self)
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varieties for arbitrary elements to paving those corresponding to nilpotent elements. As a consequence, we generalize results of Tymoczko asserting that Hessenberg varieties for regular nilpotent and arbitrary elements of gln(C) are paved by affines. For example, our results prove that any Hessenberg
Better Lower Bounds on Detecting Affine and Spherical Degeneracies
, 1995
"... d is either completely contained in or completely disjointfromevery other surface induced by\Phi. The correctness of the perturbation technique is based on the following incorrect claim [1, p.48]: Let C be an arbitrary cell, and let C 0 be one of the cells in its boundary. Then every surface tha ..."
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d is either completely contained in or completely disjointfromevery other surface induced by\Phi. The correctness of the perturbation technique is based on the following incorrect claim [1, p.48]: Let C be an arbitrary cell, and let C 0 be one of the cells in its boundary. Then every surface
Nonextendable isomorphisms between affine varieties
, 2001
"... Abstract. In this paper, we report several large classes of affine varieties (over an arbitrary field K of characteristic 0) with the following property: each variety in these classes has an isomorphic copy such that the corresponding isomorphism cannot be extended to an automorphism of the ambient ..."
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Abstract. In this paper, we report several large classes of affine varieties (over an arbitrary field K of characteristic 0) with the following property: each variety in these classes has an isomorphic copy such that the corresponding isomorphism cannot be extended to an automorphism of the ambient
The Scattering Variety
"... The socalled Scattering Equations which govern the kinematics of the scattering of massless particles in arbitrary dimensions has recently been cast into a system of homogeneous polynomials. We study these as affine and projective geometries which we call Scattering Varieties by analyzing such quan ..."
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Cited by 2 (0 self)
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The socalled Scattering Equations which govern the kinematics of the scattering of massless particles in arbitrary dimensions has recently been cast into a system of homogeneous polynomials. We study these as affine and projective geometries which we call Scattering Varieties by analyzing
Multiplier ideals and modules on toric varieties
 MATH. Z
, 2003
"... A formula computing the multiplier ideal of a monomial ideal on an arbitrary affine toric variety is given. Variants for the multiplier module and test ideals are also treated. ..."
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Cited by 22 (3 self)
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A formula computing the multiplier ideal of a monomial ideal on an arbitrary affine toric variety is given. Variants for the multiplier module and test ideals are also treated.
Noncommutative symplectic geometry, quiver varieties, and operads
"... to Liza Quiver varieties have recently appeared in various different areas of Mathematics such as representation theory of KacMoody algebras and quantum groups, instantons on 4manifolds, and resolutions Kleinian singularities. In this paper, we show that many important affine quiver varieties, e.g ..."
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Cited by 60 (9 self)
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to Liza Quiver varieties have recently appeared in various different areas of Mathematics such as representation theory of KacMoody algebras and quantum groups, instantons on 4manifolds, and resolutions Kleinian singularities. In this paper, we show that many important affine quiver varieties, e
Group Actions in Arbitrary Characteristic
, 2007
"... Abstract Let G be an affine algebraic group acting on an affine variety X. We present an algorithm for computing generators of the invariant ring K[X]G in the case where G is reductive. Furthermore, we address the case where G is connected and unipotent, so the invariant ring need not be finitely ge ..."
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Abstract Let G be an affine algebraic group acting on an affine variety X. We present an algorithm for computing generators of the invariant ring K[X]G in the case where G is reductive. Furthermore, we address the case where G is connected and unipotent, so the invariant ring need not be finitely
Results 11  20
of
193