Results 1  10
of
1,950
Models for real subspace arrangements and stratified manifolds
 IMRN
"... Let us consider a central subspace and halfspace arrangement A in an euclidean vector space V and let M(A) be its complement. We construct some compactifications for the C ∞ manifold M(A)/R+. They turn out to be C ∞ manifolds with corners whose boundary is determined by simple combinatorial data. T ..."
Abstract

Cited by 12 (3 self)
 Add to MetaCart
Let us consider a central subspace and halfspace arrangement A in an euclidean vector space V and let M(A) be its complement. We construct some compactifications for the C ∞ manifold M(A)/R+. They turn out to be C ∞ manifolds with corners whose boundary is determined by simple combinatorial data
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 ..."
Abstract

Cited by 317 (2 self)
 Add to MetaCart
, the resulting subspace is an effective representation for recognition under a wide range of lighting conditions. Since the subspace is generated directly from real images, potentially complex and/or brittle intermediate steps such as 3D reconstruction can be completely avoided; nor is it necessary to acquire
Basis of Real Linear Space
, 1990
"... this paper. For simplicity, we follow the rules: x is a set, a, b are real numbers, V is a real linear space, W 1 , W 2 , W 3 are subspaces of V , v, v 1 , v 2 are vectors of V , A, B are subsets of the carrier of V , L, L 1 , L 2 are linear combinations of V , l is a linear combination of A, F , G ..."
Abstract

Cited by 285 (21 self)
 Add to MetaCart
this paper. For simplicity, we follow the rules: x is a set, a, b are real numbers, V is a real linear space, W 1 , W 2 , W 3 are subspaces of V , v, v 1 , v 2 are vectors of V , A, B are subsets of the carrier of V , L, L 1 , L 2 are linear combinations of V , l is a linear combination of A, F , G
Holomorphic Disks and Topological Invariants for Closed ThreeManifolds
 ANN. OF MATH
, 2000
"... The aim of this article is to introduce certain topological invariants for closed, oriented threemanifolds Y, equipped with a Spin c structure t. Given a Heegaard splitting of Y  U0 tie U1, these theories are variants of the Lagrangian Floer homology for the gfold symmetric product of Y relat ..."
Abstract

Cited by 274 (37 self)
 Add to MetaCart
relative to certain totally real subspaces associated to U0 and U1.
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. ..."
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.
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 ..."
Abstract

Cited by 121 (13 self)
 Add to MetaCart
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
On Beamforming with Finite Rate Feedback in Multiple Antenna Systems
, 2003
"... In this paper, we study a multiple antenna system where the transmitter is equipped with quantized information about instantaneous channel realizations. Assuming that the transmitter uses the quantized information for beamforming, we derive a universal lower bound on the outage probability for any f ..."
Abstract

Cited by 272 (14 self)
 Add to MetaCart
between any two beamforming vectors in the beamformer codebook, and is equivalent to the problem of designing unitary space time codes under certain conditions. Finally, we show that good beamformers are good packings of 2dimensional subspaces in a 2tdimensional real Grassmannian manifold with chordal
Subspace Methods for Robot Vision
, 1995
"... In contrast to the traditional approach, visual recognition is formulated as one of matching appearance rather than shape. For any given robot vision task, all possible appearance variations define its visual workspace. A set of images is obtained by coarsely sampling the workspace. The image set is ..."
Abstract

Cited by 90 (2 self)
 Add to MetaCart
is compressed to obtain a lowdimensional subspace, called the eigenspace, in which the visual workspace is represented as a continuous appearance manifold. Given an unknown input image, the recognition system first projects the image to eigenspace. The parameters of the vision task are recognized based
Hyperspectral subspace identification
 IEEE Trans. Geosci. Remote Sens
, 2008
"... Abstract—Signal subspace identification is a crucial first step in many hyperspectral processing algorithms such as target detection, change detection, classification, and unmixing. The identification of this subspace enables a correct dimensionality reduction, yielding gains in algorithm performanc ..."
Abstract

Cited by 83 (23 self)
 Add to MetaCart
by using simulated and real hyperspectral images. Index Terms—Dimensionality reduction, hyperspectral imagery, hyperspectral signal subspace identification by minimum error (HySime), hyperspectral unmixing, linear mixture, minimum mean square error (mse), subspace identification. I.
Results 1  10
of
1,950