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DCG
2011
13 years 9 days ago
A Celtic Framework for Knots and Links
We describe a variant of a method used by modern graphic artists to design what are traditionally called Celtic knots, which are part of a larger family of designs called “mirro...
Jonathan L. Gross, Thomas W. Tucker
SMA
2009
ACM
117views Solid Modeling» more  SMA 2009»
14 years 3 months ago
Discrete physics using metrized chains
Over the last fifty years, there have been numerous efforts to develop from first principles a comprehensive discrete formulation of geometric physics, including Whitney’s ge...
Antonio DiCarlo, Franco Milicchio, Alberto Paoluzz...
SENSYS
2006
ACM
14 years 2 months ago
Target tracking with binary proximity sensors: fundamental limits, minimal descriptions, and algorithms
We explore fundamental performance limits of tracking a target in a two-dimensional field of binary proximity sensors, and design algorithms that attain those limits. In particul...
Nisheeth Shrivastava, Raghuraman Mudumbai, Upamany...
CONCUR
2009
Springer
14 years 3 months ago
Weighted Bisimulation in Linear Algebraic Form
Abstract. We study bisimulation and minimization for weighted automata, relying on a geometrical representation of the model, linear weighted automata (lwa). In a lwa, the state-sp...
Michele Boreale
CADE
1998
Springer
14 years 1 months ago
A Combination of Nonstandard Analysis and Geometry Theorem Proving, with Application to Newton's Principia
Abstract. The theorem prover Isabelle is used to formalise and reproduce some of the styles of reasoning used by Newton in his Principia. The Principia's reasoning is resolute...
Jacques D. Fleuriot, Lawrence C. Paulson