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» The Lie Model for Euclidean Geometry
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IJBC
2008
98views more  IJBC 2008»
13 years 7 months ago
Slow Invariant Manifolds as Curvature of the Flow of Dynamical Systems
Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space it will be established in ...
Jean-Marc Ginoux, Bruno Rossetto, Leon O. Chua
COMGEO
1999
ACM
13 years 7 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
GIS
2008
ACM
13 years 8 months ago
Sparse terrain pyramids
Bintrees based on longest edge bisection and hierarchies of diamonds are popular multiresolution techniques on regularly sampled terrain datasets. In this work, we consider sparse...
Kenneth Weiss, Leila De Floriani
JCST
2010
122views more  JCST 2010»
13 years 6 months ago
Harmonic Field Based Volume Model Construction from Triangle Soup
Surface triangle meshes and volume data are two commonly used representations of digital geometry. Converting from triangle meshes to volume data is challenging, since triangle mes...
Chao-Hui Shen, Guo-Xin Zhang, Yu-Kun Lai, Shi-Min ...
STOC
2006
ACM
92views Algorithms» more  STOC 2006»
14 years 7 months ago
On the importance of idempotence
Range searching is among the most fundamental problems in computational geometry. An n-element point set in Rd is given along with an assignment of weights to these points from so...
Sunil Arya, Theocharis Malamatos, David M. Mount