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» Embedding a set of rational points in lower dimensions
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SISAP
2008
IEEE
188views Data Mining» more  SISAP 2008»
15 years 6 months ago
High-Dimensional Similarity Retrieval Using Dimensional Choice
There are several pieces of information that can be utilized in order to improve the efficiency of similarity searches on high-dimensional data. The most commonly used information...
Dave Tahmoush, Hanan Samet
118
Voted
COMGEO
2012
ACM
13 years 7 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...
GMP
2006
IEEE
137views Solid Modeling» more  GMP 2006»
15 years 6 months ago
Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces
Abstract. This paper presents the mathematical framework, and develops algorithms accordingly, to continuously and robustly track the intersection curves of two deforming parametri...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen...
GMP
2006
IEEE
161views Solid Modeling» more  GMP 2006»
15 years 6 months ago
Tracking Point-Curve Critical Distances
This paper presents a novel approach to continuously and robustly tracking critical (geometrically, perpendicular and/or extremal) distances from a moving plane point p ∈ R2 to a...
Xianming Chen, Elaine Cohen, Richard F. Riesenfeld
FOCS
2003
IEEE
15 years 5 months ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee