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...
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,...
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...
: 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...
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