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» Higher dimensional generalizations of the Costas property
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CISS
2008
IEEE
13 years 11 months ago
Higher dimensional generalizations of the Costas property
—We investigate the generalization of the Costas property in 3 or more dimensions, and we seek an appropriate definition. We offer a construction method based on the idea of res...
Konstantinos Drakakis
DCG
2008
118views more  DCG 2008»
13 years 4 months ago
General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, I: Combinatorial Properties
Two-dimensional constrained Delaunay triangulations are geometric structures that are popular for interpolation and mesh generation because they respect the shapes of planar domai...
Jonathan Richard Shewchuk
AUTOMATICA
2007
88views more  AUTOMATICA 2007»
13 years 4 months ago
Three and higher dimensional autonomous formations: Rigidity, persistence and structural persistence
In this paper, we generalize the notion of persistence, which has been originally introduced for two-dimensional formations, to Rd for d 3, seeking to provide a theoretical framew...
Changbin Yu, Julien M. Hendrickx, Baris Fidan, Bri...
NIPS
2001
13 years 6 months ago
Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering
Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motiva...
Mikhail Belkin, Partha Niyogi
ECCC
2010
87views more  ECCC 2010»
13 years 1 months ago
Testing monotonicity of distributions over general partial orders
We investigate the number of samples required for testing the monotonicity of a distribution with respect to an arbitrary underlying partially ordered set. Our first result is a n...
Arnab Bhattacharyya, Eldar Fischer, Ronitt Rubinfe...