We presents an algorithm to compute the topology of a non-singular real algebraic surfaces S in RP3, that is the number of its connected components and a topological model for each of them. Our strategy consists in computing the Euler characteristic of each connected component by means of Morse-type investigation of S or of a suitably constructed compact affine surface. This procedure can be used to determine the topological type of an arbitrary non-singular surface; in particular it extends an existing algorithm applicable only to surfaces disjoint from a line.
Constructive topological classification of real algebraic surfaces / Fortuna, E.; Luminati, D.; Gianni, P.. - ELETTRONICO. - (2003), pp. 1-18.
Constructive topological classification of real algebraic surfaces
Luminati, D.;
2003-01-01
Abstract
We presents an algorithm to compute the topology of a non-singular real algebraic surfaces S in RP3, that is the number of its connected components and a topological model for each of them. Our strategy consists in computing the Euler characteristic of each connected component by means of Morse-type investigation of S or of a suitably constructed compact affine surface. This procedure can be used to determine the topological type of an arbitrary non-singular surface; in particular it extends an existing algorithm applicable only to surfaces disjoint from a line.| File | Dimensione | Formato | |
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