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» Axiomatizing geometric constructions
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GIS
2010
ACM
13 years 6 months ago
Tolerance geometry: Euclid's first postulate for points and lines with extension
Object representation and reasoning in vector based geographic information systems (GIS) is based on Euclidean geometry. Euclidean geometry is built upon Euclid's first postu...
Gwen Wilke, Andrew U. Frank
RTA
2005
Springer
14 years 2 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
CVPR
2000
IEEE
14 years 10 months ago
3-D Model Construction Using Range and Image Data
This paper deals with the automated creation of geometric and photometric correct 3-D models of the world. Those models can be used for virtual reality, tele? presence, digital ci...
Ioannis Stamos, Peter K. Allen
APLAS
2003
ACM
14 years 1 months ago
Constraint Functional Logic Programming for Origami Construction
We describe origami programming methodology based on constraint functional logic programming. The basic operations of origami are reduced to solving systems of equations which desc...
Tetsuo Ida, Mircea Marin, Hidekazu Takahashi
ICCSA
2011
Springer
13 years 2 days ago
On the Parametric Representation of Dynamic Geometry Constructions
This paper describes an ongoing implementation of an open source library dealing with parametric representation of dynamic geometry constructions. We show how some current issues i...
Francisco Botana