This project is published on Computer Graphics Forum and was presented at EUROGRAPHICS Symposium on Geometry Processing 2013 where it was given the 2nd Best Paper Award.
Authors![noiseadaptive](https://team.inria.fr/titane/files/2013/06/noiseadaptive-231x300.png)
Simon Giraudot, David Cohen-Steiner & Pierre Alliez
Abstract
We propose a noise-adaptive shape reconstruction method specialized to smooth, closed shapes. Our algorithm takes as input a defect-laden point set with variable noise and outliers, and comprises three main steps. First, we compute a novel noise-adaptive distance function to the inferred shape, which relies on the assumption that the inferred shape is a smooth submanifold of known dimension. Second, we estimate the sign and confidence of the function at a set of seed points, through minimizing a quadratic energy expressed on the edges of a uniform random graph. Third, we compute a signed implicit function through a random walker approach with soft constraints chosen as the most confident seed points computed in previous step.