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Curve Reconstruction with Many Fewer Samples
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
We consider the problem of sampling points from a collection of smooth curves in the plane, such that the CRUST family of proximity-based reconstruction algorithms can rebuild the curves. Reconstruction requires a dense ...
Crawl through Neighbors: A Simple Curve Reconstruction Algorithm
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Given a planar point set sampled from an object boundary, the process of approximating the original shape is called curve reconstruction. In this paper, a novel non-parametric curve reconstruction algorithm based on Delaunay ...
Splines in the Space of Shells
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Cubic splines in Euclidean space minimize the mean squared acceleration among all curves interpolating a given set of data points. We extend this observation to the Riemannian manifold of discrete shells in which the ...