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CAD
1999
Springer
13 years 7 months ago
Geometric constraint satisfaction using optimization methods
The numerical approach to solving geometric constraint problems is indispensable for building a practical CAD system. The most commonly-used numerical method is the Newton
Jian-Xin Ge, Shang-Ching Chou, Xiao-Shan Gao
SODA
1994
ACM
138views Algorithms» more  SODA 1994»
13 years 8 months ago
Average Case Analysis of Dynamic Geometric Optimization
We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log3 n) time per update in Mulmuley's expected-case model of dynamic geom...
David Eppstein
MOBIHOC
2003
ACM
14 years 7 months ago
Worst-Case optimal and average-case efficient geometric ad-hoc routing
In this paper we present GOAFR, a new geometric ad-hoc routing algorithm combining greedy and face routing. We evaluate this algorithm by both rigorous analysis and comprehensive ...
Fabian Kuhn, Roger Wattenhofer, Aaron Zollinger
ISSAC
1997
Springer
194views Mathematics» more  ISSAC 1997»
13 years 11 months ago
The Minimised Geometric Buchberger Algorithm: An Optimal Algebraic Algorithm for Integer Programming
IP problems characterise combinatorial optimisation problems where conventional numerical methods based on the hill-climbing technique can not be directly applied. Conventional me...
Qiang Li, Yike Guo, Tetsuo Ida, John Darlington
ICRA
2003
IEEE
129views Robotics» more  ICRA 2003»
14 years 23 days ago
Optimal navigation and object finding without geometric maps or localization
In this paper we present a dynamic data structure, useful for robot navigation in an unknown, simplyconnected planar environment. The guiding philosophy in this work is to avoid t...
Benjamín Tovar, Steven M. LaValle, Rafael M...