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SCALESPACE
2015
Springer

Reconstruction of Surfaces from Point Clouds Using a Lagrangian Surface Evolution Model

3 years 2 months ago
Reconstruction of Surfaces from Point Clouds Using a Lagrangian Surface Evolution Model
We present a method for reconstruction of surfaces in R3 from point clouds. Given a set of points, we construct a triangular mesh approximation of a surface that they represent. The triangulation is obtained by a Lagrangian surface evolution model consisting of an advection and a curvature term. To construct them, we compute the distance function d to the given point cloud. Then the advection evolution is driven by ∇d and the curvature term depends on d and the mean curvature of the evolving surface. In order to control the quality of the mesh during the evolution, we perform tangential redistribution of mesh points as the surface evolves.
Patrik Daniel, Matej Medl'a, Karol Mikula, Mariana
Added 17 Apr 2016
Updated 17 Apr 2016
Type Journal
Year 2015
Where SCALESPACE
Authors Patrik Daniel, Matej Medl'a, Karol Mikula, Mariana Remesíková
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