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CADE
2009
Springer
14 years 5 months ago
A Generalization of Semenov's Theorem to Automata over Real Numbers
Abstract This work studies the properties of finite automata recognizing vectors with real components, encoded positionally in a given integer numeration base. Such automata are us...
Bernard Boigelot, Jérôme Leroux, Juli...
ICALP
2007
Springer
13 years 8 months ago
A Generalization of Cobham's Theorem to Automata over Real Numbers
Abstract. This paper studies the expressive power of finite-state automata recognizing sets of real numbers encoded positionally. It is known that the sets that are definable in th...
Bernard Boigelot, Julien Brusten
CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 4 months ago
On the Sets of Real Numbers Recognized by Finite Automata in Multiple Bases
This article studies the expressive power of finite automata recognizing sets of real numbers encoded in positional notation. We consider Muller automata as well as the restricted ...
Bernard Boigelot, Julien Brusten, Véronique...
AML
2008
124views more  AML 2008»
13 years 4 months ago
The elementary computable functions over the real numbers: applying two new techniques
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether def...
Manuel Lameiras Campagnolo, Kerry Ojakian
CVPR
2003
IEEE
14 years 6 months ago
Direct 3D-Rotation Estimation from Spherical Images via a Generalized Shift Theorem
Omnidirectional images arising from 3D-motion of a camera contain persistent structures over a large variation of motions because of their large field of view. This persistence ma...
Ameesh Makadia, Kostas Daniilidis