Astronomy and Astrophysics – Astrophysics
Scientific paper
1996-03-27
Astronomy and Astrophysics
Astrophysics
10 pages, LaTex using mn.sty, 3 figures available on request from P.Coles@qmw.ac.uk; MNRAS, in press
Scientific paper
We propose and investigate a new algorithm for quantifying the topological properties of cosmological density fluctuations. We first motivate this algorithm by drawing a formal distinction between two definitions of relevant topological characteristics, based on concepts, on the one hand, from differential topology and, on the other, from integral geometry. The former approach leads one to concentrate on properties of the contour surfaces which, in turn, leads to the algorithms CONTOUR2D and CONTOUR3D familiar to cosmologists. The other approach, which we adopt here, actually leads to much simpler algorithms in both two and three dimensions. (The 2D algorithm has already been introduced to the astronomical literature.) We discuss the 3D case in some detail and compare results obtained with it to analogous results using the CONTOUR3D algorithm.
Coles Peter
Davies Andrew G.
Pearson Russell C.
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