Berger, MatthewTagliasacchi, AndreaSeversky, Lee M.Alliez, PierreLevine, Joshua A.Sharf, AndreiSilva, Claudio T.Sylvain Lefebvre and Michela Spagnuolo2014-12-162014-12-1620141017-4656https://doi.org/10.2312/egst.20141040The area of surface reconstruction has seen substantial progress in the past two decades. The traditional problem addressed by surface reconstruction is to recover the digital representation of a physical shape that has been scanned, where the scanned data contains a wide variety of defects. While much of the earlier work has been focused on reconstructing a piece-wise smooth representation of the original shape, recent work has taken on more specialized priors to address significantly challenging data imperfections, where the reconstruction can take on different representations - not necessarily the explicit geometry. This state-of-the-art report surveys the field of surface reconstruction, providing a categorization with respect to priors, data imperfections, and reconstruction output. By considering a holistic view of surface reconstruction, this report provides a detailed characterization of the field, highlights similarities between diverse reconstruction techniques, and provides directions for future work in surface reconstruction.