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CAD
2006
Springer
13 years 6 months ago
Trimming local and global self-intersections in offset curves/surfaces using distance maps
A robust and efficient algorithm for trimming both local and global self-intersections in offset curves and surfaces is presented. Our scheme is based on the derivation of a ratio...
Joon-Kyung Seong, Gershon Elber, Myung-Soo Kim
GMP
2006
IEEE
161views Solid Modeling» more  GMP 2006»
14 years 9 days ago
Tracking Point-Curve Critical Distances
This paper presents a novel approach to continuously and robustly tracking critical (geometrically, perpendicular and/or extremal) distances from a moving plane point p ∈ R2 to a...
Xianming Chen, Elaine Cohen, Richard F. Riesenfeld
ANTS
2006
Springer
93views Algorithms» more  ANTS 2006»
13 years 10 months ago
Testing Equivalence of Ternary Cubics
Let C be a smooth plane cubic curve with Jacobian E. We give a formula for the action of the 3-torsion of E on C, and explain how it is useful in studying the 3-Selmer group of an ...
Tom Fisher
COMPGEOM
2001
ACM
13 years 10 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...
CORR
2007
Springer
173views Education» more  CORR 2007»
13 years 6 months ago
Computing modular polynomials in quasi-linear time
We analyse and compare the complexity of several algorithms for computing modular polynomials. We show that an algorithm relying on floating point evaluation of modular functions...
Andreas Enge