Unstructured Point Cloud Surface Denoising and Decimation Using Distance RBF K-Nearest Neighbor Kernel

In this work unstructured point clouds, resulting from 3D range acquisition are point wise-processed, using a proposed kd-tree nearest neighbor method, based in a generative data driven, local radial basis function's (RBF) support:φ(S, pi(xi, yi, zi)), for the point set S : {pi}i∈I, using surface statistic and a Gaussian convolution kernel, point sets are smoothed according to local surface features. As a minor contribution we also present a point cloud semirigid grid decimation method, based on a similar framework, using multi-core hardware, experiment results achieve comparable quality results with existing and more complex methods; time performance and results are presented for comparison.

[1]  Gabriel Taubin,et al.  Geometric Signal Processing on Polygonal Meshes , 2000, Eurographics.

[2]  Gabriel Taubin,et al.  A signal processing approach to fair surface design , 1995, SIGGRAPH.

[3]  Leif Kobbelt,et al.  A survey of point-based techniques in computer graphics , 2004, Comput. Graph..

[4]  Mark Meyer,et al.  Implicit fairing of irregular meshes using diffusion and curvature flow , 1999, SIGGRAPH.

[5]  Sylvain Petitjean,et al.  A survey of methods for recovering quadrics in triangle meshes , 2002, CSUR.

[6]  David P. Dobkin,et al.  The quickhull algorithm for convex hulls , 1996, TOMS.

[7]  Daniel Cohen-Or,et al.  Bilateral mesh denoising , 2003 .

[8]  Andreas Nüchter,et al.  GPU-Accelerated Nearest Neighbor Search for 3D Registration , 2009, ICVS.

[9]  David Levin,et al.  The approximation power of moving least-squares , 1998, Math. Comput..

[10]  Konrad Polthier,et al.  Anisotropic Filtering of Non‐Linear Surface Features , 2004, Comput. Graph. Forum.

[11]  K. Hormann From Scattered Samples to Smooth Surfaces , 2003 .

[12]  D. Shepard A two-dimensional interpolation function for irregularly-spaced data , 1968, ACM National Conference.

[13]  L. Velho,et al.  Robust Smoothing of Noisy Point Clouds , 2003 .

[14]  Yizhou Yu,et al.  Robust Feature-Preserving Mesh Denoising Based on Consistent Subneighborhoods , 2010, IEEE Transactions on Visualization and Computer Graphics.

[15]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[16]  Allen R. Hanson,et al.  Computer Vision Systems , 1978 .

[17]  Markus H. Gross,et al.  Feature Preserving Point Set Surfaces based on Non‐Linear Kernel Regression , 2009, Comput. Graph. Forum.

[18]  Jon Louis Bentley,et al.  An Algorithm for Finding Best Matches in Logarithmic Expected Time , 1977, TOMS.