Results 1 - 10 of 302

Coordinate subspace arrangements and monomial ideals

by Vesselin Gasharov, Irena Peeva, Volkmar Welker , 1998
"... We relate the (co)homological properties of real coordinate subspace arrangements and of monomial ideals. ..."
Abstract - Cited by 6 (1 self) - Add to MetaCart
We relate the (co)homological properties of real coordinate subspace arrangements and of monomial ideals.

Acquiring linear subspaces for face recognition under variable lighting

by Kuang-chih Lee, Jeffrey Ho, David Kriegman - 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 ..."
Abstract - Cited by 317 (2 self) - Add to MetaCart
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

by Mark De Longueville , 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 ..."
Abstract - Cited by 5 (0 self) - Add to MetaCart
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 homology of real subspace arrangements

by Eric M. Rains , 2006
"... ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
Abstract not found

The homotopy type of the complement of a coordinate subspace arrangement

by Jelena Grbić, Stephen Theriault , 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 ..."
Abstract - Cited by 31 (4 self) - Add to MetaCart
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

by Richard Ehrenborg, Margaret A. Readdy - 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 ..."
Abstract - Cited by 6 (2 self) - Add to MetaCart
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

k-PARABOLIC SUBSPACE ARRANGEMENTS

by Hélène Barcelo, Christopher Severs, Jacob A. White , 2009
"... In this paper, we study k-parabolic arrangements, a generalization of k-equal arrangements for finite real reflection groups. When k = 2, these arrangements correspond to the well-studied Coxeter arrangements. Brieskorn (1971) showed that the fundamental group of the complement, over C, of the type ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
In this paper, we study k-parabolic arrangements, a generalization of k-equal arrangements for finite real reflection groups. When k = 2, these arrangements correspond to the well-studied Coxeter arrangements. Brieskorn (1971) showed that the fundamental group of the complement, over C

ON THE COMPLEMENTS OF AFFINE SUBSPACE ARRANGEMENTS

by K. Jewell, P. Orlik, B. Z. Shapiro
"... 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 ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
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

Real-time subspace integration for St. Venant-Kirchhoff deformable models

by Jernej Barbic, Doug James - ACM Transactions on Graphics , 2005
"... In this paper, we present an approach for fast subspace integration of reduced-coordinate nonlinear deformable models that is suitable for interactive applications in computer graphics and haptics. Our approach exploits dimensional model reduction to build reduced-coordinate deformable models for ob ..."
Abstract - Cited by 121 (13 self) - Add to MetaCart
In this paper, we present an approach for fast subspace integration of reduced-coordinate nonlinear deformable models that is suitable for interactive applications in computer graphics and haptics. Our approach exploits dimensional model reduction to build reduced-coordinate deformable models

Cohomology Of Real Diagonal Subspace Arrangements Via Resolutions

by Irena Peeva, Vic Reiner, Volkmar Welker , 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. ..."
Abstract - Cited by 13 (2 self) - Add to MetaCart
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 of 302