Voronoi-based variational reconstruction of unoriented point sets

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A Survey of Surface Reconstruction from Point Clouds (2017, unknown): “To address this limitation, the method of [ACSTD07] uses covariance matrices instead of normals to represent unsigned orientations leading to the following optimization problem: In the energy above, the ﬁrst term penalizes the misalign-c 2016Authorversion ment of ∇ χ with the (unsigned) orientation…”
Fusion of depth maps with multiple scales (2011, methodology): “2006], and Voronoi-based reconstruction [Alliez et al. 2007].”
Extracting lines of curvature from noisy point clouds (2009, unknown): “Oriented normal vectors can often be acquired as part of the scanning process or can be estimated with existing algorithms (17; 35; 2).”
1 An End-to-End Framework for Evaluating Surface Reconstruction (2011, methodology): “Approaches range from computing an indicator function [Kazhdan 2005; Kazhdan et al. 2006; Alliez et al. 2007; Manson et al. 2008], to locally fitting functions and moving least squares methods [Alexa et al.”