gReg3D computes the 3D regular (weighted Delaunay) triangulation on the GPU.

The gReg3D algorithm extends the star splaying concepts of the gStar4D and gDel3D algorithms to construct the 3D regular (weighted Delaunay) triangulation on the GPU. This algorithm allows stars to die, finds their death certificate and uses methods to propagate this information to other stars efficiently. The result is the 3D regular triangulation of the input computed fully on the GPU.

Our CUDA implementation of gReg3D is robust and achieves a speedup of up to 4 times over the 3D regular triangulator of CGAL.

This project has been primarily tested on Windows 7 64-bit OS using Visual Studio 2008 and CUDA 4.0. This is a workstation with Intel i7 2600K CPU and NVIDIA GTX 580 GPU.

Open the GDelaunay solution file using Visual Studio and compile with the Release build for maximum performance.

CMake is needed to build gReg3D on Linux. Make sure that the CUDA capability values in the CMakeLists.txt file matches that of your GPU.

To build and execute using CMake:

$ cd greg3d
$ mkdir build
$ cd build
$ cmake ..
$ make
$ ./greg3d --help

Chapter 8 of my PhD thesis describes the details of the gReg3D algorithm.

To refer to gReg3D, please use:

Ashwin Nanjappa, "Delaunay triangulation in R3 on the GPU", PhD thesis,
School of Computing, National University of Singapore, 2012.

To cite gReg3D, please use this BibTeX entry:

@phdthesis{Ashwin2012GPUDelaunay,
    author = {Nanjappa, Ashwin},
    school = {National University of Singapore},
    title = {Delaunay triangulation in R3 on the {GPU}},
    year = {2012}
}

Author: Ashwin Nanjappa

Project: gReg3D

Copyright (c) 2013, School of Computing, National University of Singapore. All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

Neither the name of the National University of Singapore nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission from the National University of Singapore.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.