Abstract
We propose a partial differential equations-based algorithm for the 3D implicit surface reconstruction from a set of scattered cloud data. In the solution process, the method of approximate particular solutions with the IMQ radial basis function is employed for solving the modified Helmholtz or Poisson equation with a constant Dirichlet boundary condition. We also consider to repair the surfaces when a certain region of cloud data points are missing. The selection of several parameters is studied for the optimal recovery of the surfaces. Four examples are presented to validate the effectiveness of the proposed method.
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