Exploració per tema "Computational Geometry"
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Algorithmic geometry with infinite time computation
(Universitat Politècnica de Catalunya, 2020-07)
Projecte Final de Màster Oficial
Accés obertIn this project we do an algorithmic study of problems from computational geometry with countably infinite input, especially countable sets in R^n. To do so, we use the infinite time Blum-Shub-Smale (ITBSS) machine, which ... -
Generalisation of Sylvester's problem
(Universitat Politècnica de Catalunya, 2015-09)
Treball Final de Grau
Accés obertLet $P$ be a set of $n$ points in the projective space of dimension $d$ with the property that not all the points are contained in an hyperplane and any $d$ points span an hyperplane. Let an ordinary hyperplane of $P$ be ... -
On sets of points with few ordinary hyperplanes
(Universitat Politècnica de Catalunya, 2018-07)
Projecte Final de Màster Oficial
Accés obertLet $S$ be a set of $n$ points in the projective $d$-dimensional real space $\mathbb{RP}^d$ such that not all points of $S$ are contained in a single hyperplane and such that any subset of $d$ points of $S$ span a hyperplane. ...