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Free Disposal Hull (FDH) model introduced by Deprins, Simar and Tulkens (1984) expanded the DEA models by relaxing the convexity assumption. Many papers were devoted to development of solution methods for computations of various scale characteristics in FDH models. These methods are divided into two groups. In the first group, methods are based on mathematical programming (MP) approach. The second group of methods involved enumeration methods. However, as Cesaroni, Kerstens and Van de Woestyne (2016) noted, very few papers were devoted to methods for FDH frontier reconstruction. In this paper, we propose two groups of methods for FDH frontier visualization. They are based on two approaches mentioned above. Every approach possesses its own advantages. In our work we present and describe peculiarities and advantages of every approach. Our theoretical results are confirmed by computational experiments using real-life data sets from different areas.