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» Comparison of interval methods for plotting algebraic curves
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CAGD
2002
98views more  CAGD 2002»
13 years 4 months ago
Comparison of interval methods for plotting algebraic curves
This paper compares the performance and efficiency of different function range interval methods for plotting f(x, y) = 0 on a rectangular region based on a subdivision scheme, whe...
Ralph R. Martin, Huahao Shou, Irina Voiculescu, Ad...
MICCAI
2006
Springer
14 years 5 months ago
Brain Surface Conformal Parameterization with Algebraic Functions
In medical imaging, parameterized 3D surface models are of great interest for anatomical modeling and visualization, statistical comparisons of anatomy, and surface-based registrat...
Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Tho...
EWC
2007
93views more  EWC 2007»
13 years 4 months ago
Approximation of involute curves for CAD-system processing
In numerous instances, accurate algorithms for approximating the original geometry is required. One typical example is a circle involute curve which represents the underlying geom...
Fumitaka Higuchi, Shuichi Gofuku, Takashi Maekawa,...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
13 years 11 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
COMPGEOM
2000
ACM
13 years 8 months ago
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...