Underwater maps are an important source of information for the scientific community, since mapping the seafloor is the starting point for underwater exploration. The advance of range scanning methodologies (both acoustic and optical), enables the mapping of the seabed to attain increasingly larger resolutions. However, all these techniques sample the surface to reconstruct in the form of a point cloud. Surface reconstruction methods try to recover from these points a continuous surface representing the object in the form of a mesh of triangles, easing visualization and further processing. This thesis proposes four different strategies to tackle the problem of surface reconstruction from point sets corrupted with high levels of noise and outliers, while also recovering the boundaries of these surfaces. The results obtained by our algorithms are discussed and compared both qualitatively and quantitatively with other state-of-the-art approaches
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