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» The adjacency graph of a real algebraic surface
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AAECC
2005
Springer
114views Algorithms» more  AAECC 2005»
14 years 9 months ago
The adjacency graph of a real algebraic surface
Abstract. The paper deals with the question of recognizing the mutual positions of the connected components of a non-singular real projective surface S in the real projective 3-spa...
Elisabetta Fortuna, Patrizia M. Gianni, Domenico L...
ESA
2007
Springer
155views Algorithms» more  ESA 2007»
15 years 1 months ago
Complete, Exact and Efficient Implementation for Computing the Adjacency Graph of an Arrangement of Quadrics
We present a complete, exact and efficient implementation to compute the adjacency graph of an arrangement of quadrics, i.e. surfaces of algebraic degree 2. This is a major step t...
Laurent Dupont, Michael Hemmer, Sylvain Petitjean,...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
15 years 3 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
COMGEO
2010
ACM
14 years 9 months ago
An efficient algorithm for the stratification and triangulation of an algebraic surface
: We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f Q[x,y,z] of arbitrary total degree N. Additionally, our analy...
Eric Berberich, Michael Kerber, Michael Sagraloff
CVPR
2011
IEEE
14 years 5 months ago
Multiview Registration via Graph Diffusion of Dual Quaternions
Surface registration is a fundamental step in the reconstruction of three-dimensional objects. While there are several fast and reliable methods to align two surfaces, the tools a...
Andrea Torsello, Emanuele Rodola, Andrea Albarelli