It has been well known for a long time that dynamic processes are generated by Faraday instability. However, only qualitative experimental results have been obtained in this regard. In this work, we report an original method designed to study and reconstruct the moving surface in Faraday experiments. The technique developed is accurate and a quantitative measurement of the surface displacement is achievable. Two important results have been obtained with this set-up: the numerical reconstruction of the patterns appearing on the surface because of the Faraday instability process and the dynamical evolution to chaos of a localized point of the surface.