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» Computation of the degree of rational maps between curves
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ESA
2003
Springer
141views Algorithms» more  ESA 2003»
13 years 11 months ago
Jacobi Curves: Computing the Exact Topology of Arrangements of Non-singular Algebraic Curves
We present an approach that extends the BentleyOttmann sweep-line algorithm [3] to the exact computation of the topology of arrangements induced by non-singular algebraic curves o...
Nicola Wolpert
CVGIP
2002
174views more  CVGIP 2002»
13 years 5 months ago
Computing quadric surface intersections based on an analysis of plane cubic curves
Computing the intersection curve of two quadrics is a fundamental problem in computer graphics and solid modeling. We present an algebraic method for classifying and parameterizin...
Wenping Wang, Barry Joe, Ronald N. Goldman
CAGD
1998
99views more  CAGD 1998»
13 years 5 months ago
A Laguerre geometric approach to rational offsets
Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from...
Martin Peternell, Helmut Pottmann
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
ANTS
2004
Springer
74views Algorithms» more  ANTS 2004»
13 years 11 months ago
Rational Divisors in Rational Divisor Classes
We discuss the situation where a curve C, defined over a number field K, has a known K-rational divisor class of degree 1, and consider whether this class contains an actual K-ra...
Nils Bruin, E. Victor Flynn