Sampling and reconstructing manifolds using alpha-shapes

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3D Instance Segmentation of MVS Buildings (2021, methodology): “We first extract boundary edges of the roof triangles using the Alpha Shape algorithm [46].”
Smooth surface reconstruction via natural neighbour interpolation of distance functions (2000, methodology): “It consists in con- structing a geometric data structure such as the Delaunay triangulation of the point set and to extract from this struc- ture a set of facets that approximate the surface.”
The 3D Model Acquisition Pipeline (2002, methodology): “Attempts so far have been mostly restricted to the 2D case [55–57], with the exception of [50] and [52].”
The ball-pivoting algorithm for surface reconstruction (1999, background): “Given a valid seed, the algorithm builds the largest possible connected component containing the seed.”