Detection from a numerical simulation

We first tested our method on the numerical simulation kindly provided by the authors of [4]. As shown in figures 3, 4 and 5, both ``Candy'' and ``Quality Candy'' algorithms enable large improvement with respect to the MST method which basically simply connects all points of the map. The network extracted by the ``Quality Candy'' model, though partially incomplete, presents an overall structure in adequation with the description of the cosmic filaments made in section 1, that is to say, a network of filaments of varying sizes surrounding huge voids. The network extracted by the ``Candy'' model highlights more filaments, but some of them seem to be overdetected.

Figure 3: Network extracted by the ``Quality Candy'' model (CPU time: 20mn).

Figure 4: Network extracted by the ``Candy'' model [4].

Figure 5: Network extracted by the MST model [4].