Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Paoluzzi, Alberto"'
The object of this paper is to transform a set of local chain complexes to a single global complex using an equivalence relation of congruence of cells, solving topologically the numerical inaccuracies of floating-point arithmetics. While computing t
Externí odkaz:
http://arxiv.org/abs/2004.00046
Autor:
Paoluzzi, Alberto, Shapiro, Vadim, DiCarlo, Antonio, Furiani, Francesco, Martella, Giulio, Scorzelli, Giorgio
In many areas of applied geometric/numeric computational mathematics, including geo-mapping, computer vision, computer graphics, finite element analysis, medical imaging, geometric design, and solid modeling, one has to compute incidences, adjacencie
Externí odkaz:
http://arxiv.org/abs/1911.08130
The goal of this paper is to introduce a new method in computer-aided geometry of solid modeling. We put forth a novel algebraic technique to evaluate any variadic expression between polyhedral d-solids (d = 2, 3) with regularized operators of union,
Externí odkaz:
http://arxiv.org/abs/1910.11848
Publikováno v:
In Computer-Aided Design February 2023 155
Geometric computing with chain complexes allows for the computation of the whole chain of linear spaces and (co)boundary operators generated by a space decomposition into a cell complex. The space decomposition is stored and handled with LAR (Linear
Externí odkaz:
http://arxiv.org/abs/1710.07819
In this paper we propose a novel algorithm to combine two or more cellular complexes, providing a minimal fragmentation of the cells of the resulting complex. We introduce here the idea of arrangement generated by a collection of cellular complexes,
Externí odkaz:
http://arxiv.org/abs/1704.00142
In this paper we show that the (co)chain complex associated with a decomposition of the computational domain, commonly called a mesh in computational science and engineering, can be represented by a block-bidiagonal matrix that we call the Hasse matr
Externí odkaz:
http://arxiv.org/abs/0812.3249
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2008 Sep . 366(1878), 3045-3065.
Externí odkaz:
https://www.jstor.org/stable/25197312
Autor:
DiCarlo, Antonio, Paoluzzi, Alberto
Publikováno v:
In Computer-Aided Design 2006 38(11):1145-1153