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» Axiomatizing geometric constructions
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RC
2006
88views more  RC 2006»
13 years 8 months ago
Geometric Constructions with Discretized Random Variables
We generalize the DEnv (Distribution envelope determination) method for bounding the result of arithmetic operations on random variables with unknown dependence to higher-dimension...
Hans-Peter Schröcker, Johannes Wallner
ADG
2006
Springer
191views Mathematics» more  ADG 2006»
14 years 10 days ago
Automatic Verification of Regular Constructions in Dynamic Geometry Systems
We present an application of an automatic theorem proving (ATP) in the verification of constructions made with dynamic geometry software (DGS). Given a specification language for g...
Predrag Janicic, Pedro Quaresma
ENTCS
2008
116views more  ENTCS 2008»
13 years 8 months ago
Computational Origami Construction as Constraint Solving and Rewriting
Computational origami is the computer assisted study of mathematical and computational aspects of origami. An origami is constructed by a finite sequence of fold steps, each consi...
Tetsuo Ida, Mircea Marin, Hidekazu Takahashi, Fado...
WSCG
2003
163views more  WSCG 2003»
13 years 10 months ago
Constructing Approximate Voronoi Diagrams from Digital Images of Generalized Polygons and Circular Objects
In this paper we present the geometrical construction of an approximate generalized Voronoi diagram for generalized polygons and circular objects based on their minimum geometrica...
W. L. Roque, D. Doering
ADG
2006
Springer
177views Mathematics» more  ADG 2006»
14 years 2 months ago
Recognition of Computationally Constructed Loci
Abstract. We propose an algorithm for automated recognition of computationally constructed curves and discuss several aspects of the recognition problem. Recognizing loci means det...
Peter Lebmeir, Jürgen Richter-Gebert