Conclusion and future prospects

As shown in this paper, the ``Quality Candy'' model gives promising results for detecting a robust network of filaments in the spatial distribution of galaxies. It is the first time such a method is used to process an observational astronomical survey. Beyond the final tuning of the algorithm required for ending up with a fully satisfactory result from the astronomical point of view, a future step is to adapt our model to three dimensional data. Though theoretically possible, as both the prior and data terms of the energy are extendable to one more dimension, it requires to re-write the whole implementation of the algorithm. Eventually, it would also be interesting to achieve the estimation of the model parameters in order to make the detection fully automatic.