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302
Coordinate subspace arrangements and monomial ideals
, 1998
"... We relate the (co)homological properties of real coordinate subspace arrangements and of monomial ideals. ..."
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Cited by 6 (1 self)
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We relate the (co)homological properties of real coordinate subspace arrangements and of monomial ideals.
Acquiring linear subspaces for face recognition under variable lighting
 IEEE Transactions on Pattern Analysis and Machine Intelligence
, 2005
"... Previous work has demonstrated that the image variation of many objects (human faces in particular) under variable lighting can be effectively modeled by low dimensional linear spaces, even when there are multiple light sources and shadowing. Basis images spanning this space are usually obtained in ..."
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Cited by 317 (2 self)
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PCA is used to estimate a subspace. Finally, images rendered from a 3D model under diffuse lighting based on spherical harmonics are directly used as basis images. In this paper, we show how to arrange physical lighting so that the acquired images of each object can be directly used as the basis
The Ring Structure On The Cohomology Of Coordinate Subspace Arrangements
, 1999
"... Every simplicial complex 2 [n] on the vertex set [n] = f1; : : : ; ng denes a real resp. complex arrangement of coordinate subspaces in R n resp. C n via the correspondence 3 7! spanfe i : i 2 g: The linear structure of the cohomology of the complement of such an arrangement is explicitl ..."
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Cited by 5 (0 self)
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Every simplicial complex 2 [n] on the vertex set [n] = f1; : : : ; ng denes a real resp. complex arrangement of coordinate subspaces in R n resp. C n via the correspondence 3 7! spanfe i : i 2 g: The linear structure of the cohomology of the complement of such an arrangement
The homotopy type of the complement of a coordinate subspace arrangement
, 2007
"... The homotopy type of the complement of a complex coordinate subspace arrangement is studied by fathoming out the connection between its topological and combinatorial structures. A family of arrangements for which the complement is homotopy equivalent to a wedge of spheres is described. One consequ ..."
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Cited by 31 (4 self)
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The homotopy type of the complement of a complex coordinate subspace arrangement is studied by fathoming out the connection between its topological and combinatorial structures. A family of arrangements for which the complement is homotopy equivalent to a wedge of spheres is described. One
The Dowling transform of subspace arrangements
 J. Combin. Theory Ser. A
"... We dene the Dowling transform of a real frame arrangement and show how the characteristic polynomial changes under this transformation. As a special case, the Dowling transform sends the braid arrangement An to the Dowling arrangement. Using Zaslavsky's characterization of supersolvability of s ..."
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Cited by 6 (2 self)
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the characteristic polynomial of subspace arrangements. These include Athanasiadis' modulo q method for real arrangements with integer coecients [1], Blass and Sagan's lattice point counting for subarrangements of the braid arrangement B n [2], Stanley's theory of supersolvability [12] and Terao
kPARABOLIC SUBSPACE ARRANGEMENTS
, 2009
"... In this paper, we study kparabolic arrangements, a generalization of kequal arrangements for finite real reflection groups. When k = 2, these arrangements correspond to the wellstudied Coxeter arrangements. Brieskorn (1971) showed that the fundamental group of the complement, over C, of the type ..."
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Cited by 2 (1 self)
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In this paper, we study kparabolic arrangements, a generalization of kequal arrangements for finite real reflection groups. When k = 2, these arrangements correspond to the wellstudied Coxeter arrangements. Brieskorn (1971) showed that the fundamental group of the complement, over C
ON THE COMPLEMENTS OF AFFINE SUBSPACE ARRANGEMENTS
"... Abstract. Let V be an l−dimensional real vector space. A subspace arrangement A is a finite collection of affine subspaces in V. There is no assumption on the dimension of the elements of A. Let M(A) = V − ∪A∈AA be the complement of A. A method of calculating the additive structure of H ∗ (M(A)) wa ..."
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Cited by 1 (0 self)
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Abstract. Let V be an l−dimensional real vector space. A subspace arrangement A is a finite collection of affine subspaces in V. There is no assumption on the dimension of the elements of A. Let M(A) = V − ∪A∈AA be the complement of A. A method of calculating the additive structure of H ∗ (M
Realtime subspace integration for St. VenantKirchhoff deformable models
 ACM Transactions on Graphics
, 2005
"... In this paper, we present an approach for fast subspace integration of reducedcoordinate nonlinear deformable models that is suitable for interactive applications in computer graphics and haptics. Our approach exploits dimensional model reduction to build reducedcoordinate deformable models for ob ..."
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Cited by 121 (13 self)
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In this paper, we present an approach for fast subspace integration of reducedcoordinate nonlinear deformable models that is suitable for interactive applications in computer graphics and haptics. Our approach exploits dimensional model reduction to build reducedcoordinate deformable models
Cohomology Of Real Diagonal Subspace Arrangements Via Resolutions
, 1999
"... We express the cohomology of the complement of a real subspace arrangement of diagonal linear subspaces in terms of the Betti numbers of a minimal free resolution. This leads to formulas for the cohomology in some cases, and also to a cohomology vanishing theorem valid for all arrangements. ..."
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Cited by 13 (2 self)
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We express the cohomology of the complement of a real subspace arrangement of diagonal linear subspaces in terms of the Betti numbers of a minimal free resolution. This leads to formulas for the cohomology in some cases, and also to a cohomology vanishing theorem valid for all arrangements.
Results 1  10
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302