Parallel Poisson Surface Reconstruction

In this work we describe a parallel implementation of the Poisson Surface Reconstruction algorithm based on multigrid domain decomposition. We compare implementations using different models of data-sharing between processors and show that a parallel implementation with distributed memory provides the best scalability. Using our method, we are able to parallelize the reconstruction of models from one billion data points on twelve processors across three machines, providing a nine-fold speedup in running time without sacrificing reconstruction accuracy.

[1]  Kun Zhou,et al.  Highly Parallel Surface Reconstruction , 2008 .

[2]  Barry F. Smith,et al.  Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations , 1996 .

[3]  Jonathan C. Hardwick.  Implementation and evaluation of an efficient parallel Delaunay triangulation algorithm , 1997, SPAA '97.

[4]  James F. O'Brien,et al.  Spectral surface reconstruction from noisy point clouds , 2004, SGP '04.

[5]  Michael M. Kazhdan,et al.  Poisson surface reconstruction , 2006, SGP '06.

[6]  Tony DeRose,et al.  Mesh optimization , 1993, SIGGRAPH.

[7]  Herbert Edelsbrunner,et al.  Three-dimensional alpha shapes , 1992, VVS.

[8]  Jean-Daniel Boissonnat,et al.  Geometric structures for three-dimensional shape representation , 1984, TOGS.

[9]  Marc Levoy,et al.  The digital Michelangelo project: 3D scanning of large statues , 2000, SIGGRAPH.

[10]  Marc Alexa,et al.  Point set surfaces , 2001, Proceedings Visualization, 2001. VIS '01..

[11]  Chandrajit L. Bajaj,et al.  Automatic reconstruction of surfaces and scalar fields from 3D scans , 1995, SIGGRAPH.

[12]  James F. O'Brien,et al.  Modelling with implicit surfaces that interpolate , 2002, TOGS.

[13]  James F. O'Brien,et al.  Interpolating and approximating implicit surfaces from polygon soup , 2004, SIGGRAPH Courses.

[14]  Hans-Peter Seidel,et al.  Multi-level partition of unity implicits , 2003, ACM Trans. Graph..

[15]  Szymon Rusinkiewicz,et al.  Global non-rigid alignment of 3-D scans , 2007, SIGGRAPH 2007.

[16]  Shigeru Muraki,et al.  Volumetric shape description of range data using “Blobby Model” , 1991, SIGGRAPH.

[17]  Randal C. Burns,et al.  Multilevel streaming for out-of-core surface reconstruction , 2007, Symposium on Geometry Processing.

[18]  Richard Szeliski,et al.  Modeling the World from Internet Photo Collections , 2008, International Journal of Computer Vision.

[19]  Marc Levoy,et al.  A volumetric method for building complex models from range images , 1996, SIGGRAPH.

[20]  Sunghee Choi,et al.  The power crust, unions of balls, and the medial axis transform , 2001, Comput. Geom..

[21]  Marshall W. Bern,et al.  A new Voronoi-based surface reconstruction algorithm , 1998, SIGGRAPH.

[22]  Richard K. Beatson,et al.  Reconstruction and representation of 3D objects with radial basis functions , 2001, SIGGRAPH.