# Weighted Quasi Interpolant Spline Approximation of 3D point clouds via local refinement

@article{Raffo2019WeightedQI, title={Weighted Quasi Interpolant Spline Approximation of 3D point clouds via local refinement}, author={Andrea Raffo and Silvia Biasotti}, journal={ArXiv}, year={2019}, volume={abs/1906.04003} }

We present a new surface approximation, the Weighted Quasi Interpolant Spline Approximation (w-QISA), to approximate very large and noisy point clouds. We adopt local implicit representations based on three key ingredients: 1) a local mesh for the piecewise implicit representation z=f(x,y) that defines where the approximation will be more detailed, 2) a weight function for the approximation of the control points that captures the local behavior of the point cloud, and 3) a criterion for global… CONTINUE READING

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