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COMPUTING
2006
100views more  COMPUTING 2006»
13 years 7 months ago
Interval Arithmetic with Containment Sets
The idea of containment sets (csets) is due to Walster and Hansen, and the theory is mainly due to the first author. Now that floating point computation with infinities is widely a...
John D. Pryce, George F. Corliss
JLP
2006
92views more  JLP 2006»
13 years 7 months ago
Exact real arithmetic using centred intervals and bounded error terms
Approximations based on dyadic centred intervals are investigated as a means for implementing exact real arithmetic. It is shown that the field operations can be implemented on th...
Jens Blanck
CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 7 months ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...
DAGSTUHL
2010
13 years 9 months ago
CSG Operations of Arbitrary Primitives with Interval Arithmetic and Real-Time Ray Casting
We apply Knoll et al.'s algorithm [9] to interactively ray-cast constructive solid geometry (CSG) objects of arbitrary primitives represented as implicit functions. Whereas m...
Younis Hijazi, Aaron Knoll, Mathias Schott, Andrew...
ESANN
2003
13 years 9 months ago
A new rule extraction algorithm based on interval arithmetic
In this paper we propose a new algorithm for rule extraction from a trained Multilayer Feedforward network. The algorithm is based on an interval arithmetic network inversion for p...
Carlos Hernández-Espinosa, Mercedes Fern&aa...