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ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
16 years 25 days 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
VISSYM
2003
15 years 8 months ago
Contouring Curved Quadratic Elements
We show how to extract a contour line (or isosurface) from quadratic elements—specifically from quadratic triangles and tetrahedra. We also devise how to transform the resultin...
David F. Wiley, Henry R. Childs, Benjamin F. Grego...
CORR
2010
Springer
192views Education» more  CORR 2010»
15 years 4 months ago
Constructing elliptic curve isogenies in quantum subexponential time
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isog...
Andrew M. Childs, David Jao, Vladimir Soukharev
FIMH
2005
Springer
16 years 6 days ago
A Deterministic-Statistic Adventitia Detection in IVUS Images
Plaque analysis in IVUS planes needs accurate intima and adventitia models. Large variety in adventitia descriptors difficulties its detection and motivates using a classification...
Debora Gil, Aura Hernandez, Antoni Carol, Oriol Ro...
176
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CORR
2010
Springer
103views Education» more  CORR 2010»
15 years 6 months ago
On Graph Crossing Number and Edge Planarization
Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their ...
Julia Chuzhoy, Yury Makarychev, Anastasios Sidirop...