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COMPGEOM
2004
ACM
14 years 1 months ago
Inner and outer rounding of set operations on lattice polygonal regions
Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementa...
Olivier Devillers, Philippe Guigue
AUTOMATICA
2007
70views more  AUTOMATICA 2007»
13 years 7 months ago
Squaring the circle: An algorithm for generating polyhedral invariant sets from ellipsoidal ones
This paper presents a new (geometrical) approach to the computation of polyhedral (robustly) positively invariant (PI) sets for general (possibly discontinuous) nonlinear discrete...
A. Alessio, Mircea Lazar, Alberto Bemporad, W. P. ...
ISAAC
2007
Springer
80views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Geometric Streaming Algorithms with a Sorting Primitive
We solve several fundamental geometric problems under a new streaming model recently proposed by Ruhl et al. [2, 12]. In this model, in one pass the input stream can be scanned to ...
Eric Y. Chen
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
PG
2007
IEEE
14 years 2 months ago
Fast and Faithful Geometric Algorithm for Detecting Crest Lines on Meshes
A new geometry-based finite difference method for a fast and reliable detection of perceptually salient curvature extrema on surfaces approximated by dense triangle meshes is pro...
Shin Yoshizawa, Alexander G. Belyaev, Hideo Yokota...