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» Exact numerical computation in algebra and geometry
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COMPGEOM
2001
ACM
13 years 11 months ago
Computing a 3-dimensional cell in an arrangement of quadrics: exactly and actually!
We present two approaches to the problem of calculating a cell in a 3-dimensional arrangement of quadrics. The first approach solves the problem using rational arithmetic. It work...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
13 years 7 months ago
Exact arrangements on tori and Dupin cyclides
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
Eric Berberich, Michael Kerber
ENTCS
2002
101views more  ENTCS 2002»
13 years 7 months ago
Hypergeometric Functions in Exact Geometric Computation
Most problems in computational geometry are algebraic. A general approach to address nonrobustness in such problems is Exact Geometric Computation (EGC). There are now general lib...
Zilin Du, Maria Eleftheriou, José E. Moreir...

Book
19360views
15 years 6 months ago
Numerical Recipes in C
C code implementation of several math algorithms such as Linear Algebraic Equations, Interpolation and Extrapolation, Integration of Functions, Evaluation of Functions, Random Num...
William H. Press, Saul A. Teukolsky, William T. Ve...