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» On Embedding a Graph on Two Sets of Points
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TSMC
2010
14 years 4 months ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
WADS
2009
Springer
281views Algorithms» more  WADS 2009»
15 years 4 months ago
The Simultaneous Representation Problem for Chordal, Comparability and Permutation Graphs
Abstract. We introduce the simultaneous representation problem, defined for any graph class C characterized in terms of representations, e.g. any class of intersection graphs. Two...
Krishnam Raju Jampani, Anna Lubiw
RT
2004
Springer
15 years 3 months ago
Bixels: Picture Samples with Sharp Embedded Boundaries
Pixels store a digital image as a grid of point samples that can reconstruct a limited-bandwidth continuous 2-D source image. Although convenient for anti-aliased display, these b...
Jack Tumblin, Prasun Choudhury
COMPGEOM
2009
ACM
15 years 4 months ago
Integral estimation from point cloud in d-dimensional space: a geometric view
Integration over a domain, such as a Euclidean space or a Riemannian manifold, is a fundamental problem across scientific fields. Many times, the underlying domain is only acces...
Chuanjiang Luo, Jian Sun, Yusu Wang
CORR
2008
Springer
141views Education» more  CORR 2008»
14 years 9 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...