Sciweavers

CG
2005
Springer
13 years 3 months ago
Two-dimensional invariant manifolds in four-dimensional dynamical systems
This paper explores the visualization of two-dimensional stable and unstable manifolds of the origin (a saddle point) in a four-dimensional Hamiltonian system arising from control...
Hinke M. Osinga
FOCM
2007
94views more  FOCM 2007»
13 years 3 months ago
Trust-Region Methods on Riemannian Manifolds
A general scheme for trust-region methods on Riemannian manifolds is proposed and analyzed. Among the various approaches available to (approximately) solve the trust-region subpro...
Pierre-Antoine Absil, C. G. Baker, Kyle A. Galliva...
JMIV
2006
185views more  JMIV 2006»
13 years 3 months ago
Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements
In medical image analysis and high level computer vision, there is an intensive use of geometric features like orientations, lines, and geometric transformations ranging from simp...
Xavier Pennec
EJC
2007
13 years 3 months ago
Euler characteristics and chromatic polynomials
Given a graph we show how to construct a family of manifolds whose Euler characteristics are the values of the chromatic polynomial of the graph at various integers. The manifolds...
Michael Eastwood, Stephen Huggett
JMLR
2008
79views more  JMLR 2008»
13 years 3 months ago
Manifold Learning: The Price of Normalization
We analyze the performance of a class of manifold-learning algorithms that find their output by minimizing a quadratic form under some normalization constraints. This class consis...
Yair Goldberg, Alon Zakai, Dan Kushnir, Yaacov Rit...
IVC
2006
137views more  IVC 2006»
13 years 3 months ago
An information-theoretic approach to face recognition from face motion manifolds
In this work we consider face recognition from Face Motion Manifolds (FMMs). The use of the Resistor-Average Distance (RAD) as a dissimilarity measure between densities confined t...
Ognjen Arandjelovic, Roberto Cipolla
CORR
2007
Springer
77views Education» more  CORR 2007»
13 years 3 months ago
Quantization Bounds on Grassmann Manifolds of Arbitrary Dimensions and MIMO Communications with Feedback
— This paper considers the quantization problem on the Grassmann manifold with dimension n and p. The unique contribution is the derivation of a closed-form formula for the volum...
Wei Dai, Youjian Liu, Brian Rider
CAD
2007
Springer
13 years 3 months ago
Computing general geometric structures on surfaces using Ricci flow
Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic fra...
Miao Jin, Feng Luo 0002, Xianfeng David Gu
CORR
2006
Springer
77views Education» more  CORR 2006»
13 years 3 months ago
Quantization Bounds on Grassmann Manifolds and Applications to MIMO Communications
This paper considers the quantization problem on the Grassmann manifold Gn,p, the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space. The ch...
Wei Dai, Youjian Liu, Brian Rider
ICASSP
2010
IEEE
13 years 3 months ago
Distance-based discretization of parametric signal manifolds
The characterization of signals and images in manifolds often lead to efficient dimensionality reduction algorithms based on manifold distance computation for analysis or classi...
Elif Vural, Pascal Frossard