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» Exact numerical computation in algebra and geometry
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TOG
2012
237views Communications» more  TOG 2012»
11 years 10 months ago
An algebraic model for parameterized shape editing
We present an approach to high-level shape editing that adapts the structure of the shape while maintaining its global characteristics. Our main contribution is a new algebraic mo...
Martin Bokeloh, Michael Wand, Hans-Peter Seidel, V...
CORR
2011
Springer
160views Education» more  CORR 2011»
12 years 11 months ago
PHCpack in Macaulay2
The Macaulay2 package PHCpack.m2 provides an interface to some of the functionality of PHCpack, a general-purpose solver for polynomial systems by homotopy continuation. The main f...
Elizabeth Gross, Sonja Petrovic, Jan Verschelde
ISSAC
2004
Springer
102views Mathematics» more  ISSAC 2004»
14 years 26 days ago
FFPACK: finite field linear algebra package
The FFLAS project has established that exact matrix multiplication over finite fields can be performed at the speed of the highly optimized numerical BLAS routines. Since many a...
Jean-Guillaume Dumas, Pascal Giorgi, Clémen...
CASC
2005
Springer
113views Mathematics» more  CASC 2005»
14 years 1 months ago
Real Solving of Bivariate Polynomial Systems
Abstract. We propose exact, complete and efficient methods for 2 problems: First, the real solving of systems of two bivariate rational polynomials of arbitrary degree. This means ...
Ioannis Z. Emiris, Elias P. Tsigaridas
DAGSTUHL
2008
13 years 9 months ago
Theory of Real Computation According to EGC
The Exact Geometric Computation (EGC) mode of computation has been developed over the last decade in response to the widespread problem of numerical non-robustness in geometric al...
Chee-Keng Yap