14 citations
2 papers
math.AP2007★ 1 cited
An explanatory model to validate the way water activity rules periodic terrace generation in Proteus mirabilis swarm
Emmanuel Frenod, Olivier Sire
In this paper we explain the biophysical principles which, according to us, govern the Proteus mirabilis swarm phenomenon. Then, we translate this explanation into a mathematical m…
cs.CG2007★ 14 cited
Speeding up Simplification of Polygonal Curves using Nested Approximations
Pierre-François Marteau, Gildas G. Ménier
We develop a multiresolution approach to the problem of polygonal curve approximation. We show theoretically and experimentally that, if the simplification algorithm A used between…