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CudaPre3D: An Alternative Preprocessing Algorithm for Accelerating 3D Convex Hull Computation on the GPUMEI, G. , XU, N.
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computational geometry, computer aided engineering, multicore processing, parallel algorithms, parallel programming
convex(20), hull(14), hulls(5), graphics(5), algorithm(5)
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About this article
Date of Publication: 2015-05-31
Volume 15, Issue 2, Year 2015, On page(s): 35 - 44
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2015.02005
Web of Science Accession Number: 000356808900005
SCOPUS ID: 84979726246
In the calculating of convex hulls for point sets, a preprocessing procedure that is to filter the input points by discarding non-extreme points is commonly used to improve the computational efficiency. We previously proposed a quite straightforward preprocessing approach for accelerating 2D convex hull computation on the GPU. In this paper, we extend that algorithm to being used in 3D cases. The basic ideas behind these two preprocessing algorithms are similar: first, several groups of extreme points are found according to the original set of input points and several rotated versions of the input set; then, a convex polyhedron is created using the found extreme points; and finally those interior points locating inside the formed convex polyhedron are discarded. Experimental results show that: when employing the proposed preprocessing algorithm, it achieves the speedups of about 4x on average and 5x to 6x in the best cases over the cases where the proposed approach is not used. In addition, more than 95 percent of the input points can be discarded in most experimental tests.
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| F. P. Preparata, M. I. Shamos, "Computational Geometry: An Introduction", pp. 131-136, New York: Springer-Verlag, 1985.
 F. P. Preparata, S. J. Hong, "Convex hulls of finite sets of points in two and three dimensions," Communications of the ACM, vol. 20, no. 2, pp. 87-93, 1977.
[CrossRef] [Web of Science Times Cited 391] [SCOPUS Times Cited 478]
 K. L. Clarkson, P. W. Shor, "Algorithms for diametral pairs and convex hulls that are optimal, randomized, and incremental," in Proceedings of the 4th symposium on Computational geometry, 1988, pp. 12-17.
[CrossRef] [SCOPUS Times Cited 32]
 T. M. Chan, "Optimal output-sensitive convex hull algorithms in two and three dimensions," Discrete & Computational Geometry, vol. 16, no. 4, pp. 361-368, 1996.
[CrossRef] [Web of Science Times Cited 127] [SCOPUS Times Cited 171]
 C. B. Barber, D. P. Dobkin, H. Huhdanpaa, "The quickhull algorithm for convex hulls," ACM Transactions on Mathematical Software (TOMS), vol. 22, no. 4, pp. 469-483, 1996.
[CrossRef] [Web of Science Times Cited 2291] [SCOPUS Times Cited 2809]
 D. Srikanth, K. Kothapalli, R. Govindarajulu, P. Narayanan, "Parallelizing two dimensional convex hull on NVIDIA GPU and Cell BE," in International conference on high performance computing (HiPC), 2009, pp. 1-5.
 S. Srungarapu, D. P. Reddy, K. Kothapalli, P. Narayanan, "Fast two dimensional convex hull on the GPU," in Advanced Information Networking and Applications (WAINA), 2011, pp. 7-12.
[CrossRef] [SCOPUS Times Cited 18]
 A. Stein, E. Geva, J. El-Sana, "CudaHull: Fast parallel 3D convex hull on the GPU," Computers & Graphics, vol. 36, no. 4, pp. 265-271, 2012.
[CrossRef] [Web of Science Times Cited 17] [SCOPUS Times Cited 26]
 M. Tang, J.-y. Zhao, R.-f. Tong, D. Manocha, "GPU accelerated convex hull computation," Computers & Graphics, vol. 36, no. 5, pp. 498-506, 2012.
[CrossRef] [Web of Science Times Cited 18] [SCOPUS Times Cited 25]
 M. Gao, T.-T. Cao, T.-S. Tan, Z. Huang, "gHull: a three-dimensional convex hull algorithm for graphics hardware," in Symposium on Interactive 3D Graphics and Games, San Francisco, California, 2011, pp. 204-204.
[CrossRef] [SCOPUS Times Cited 5]
 M. Gao, T.-T. Cao, A. Nanjappa, T.-S. Tan, Z. Huang, "gHull: A GPU algorithm for 3D convex hull," ACM Transactions on Mathematical Software (TOMS), vol. 40, no. 1, pp. 1-19, 2013.
[CrossRef] [Web of Science Times Cited 5] [SCOPUS Times Cited 9]
 M. Gao, T.-T. Cao, T.-S. Tan, Z. Huang, "Flip-flop: convex hull construction via star-shaped polyhedron in 3D," in Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, 2013, pp. 45-54.
[CrossRef] [SCOPUS Times Cited 10]
 S. Tzeng, J. D. Owens, "Finding convex hulls using Quickhull on the GPU," arXiv:1201.2936, 2012.
 J. M. White, K. A. Wortman, "Divide-and-Conquer 3D convex hulls on the GPU," arXiv:1205.1171, 2012.
 B. Kim, K.-J. Kim, "Computing the convex hull for a set of spheres on a GPU," in Proceedings of the 11th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and its Applications in Industry, Singapore, 2012, pp. 345-345.
[CrossRef] [SCOPUS Times Cited 5]
 C. Xing, Z. Xiong, Y. Zhang, X. Wu, J. Dan, T. Zhang, "An eficient convex hull algorithm using affine transformation in planar point set," Arabian Journal for Science and Engineering, vol. 39, no. 11, pp. 7785-7793, 2014.
[CrossRef] [Web of Science Times Cited 6] [SCOPUS Times Cited 9]
 S. G. Akl, G. T. Toussaint, "A fast convex hull algorithm," Information Processing Letters, vol. 7, no. 5, pp. 219-222, 1978.
[CrossRef] [Web of Science Times Cited 64] [SCOPUS Times Cited 95]
 J. Cadenas, G. Megson, "Rapid preconditioning of data for accelerating convex hull computations," Electronics Letters, vol. 50, no. 4, pp. 270-272, 2014.
[CrossRef] [Web of Science Times Cited 5] [SCOPUS Times Cited 6]
 G. Mei, "A straightforward preprocessing approach for accelerating convex hull computations on the GPU," arXiv:1405.3454, 2014.
 M. Kallay, "The complexity of incremental convex hull algorithms in Rd," Information Processing Letters, vol. 19, no. 4, pp. 197, 1984.
[CrossRef] [Web of Science Times Cited 30] [SCOPUS Times Cited 33]
 B. Grunbaum, "Measure of symmetry for convex sets, "In: Proceedings of the¨7th symposium in pure mathematics of the American mathematical society, 1961. pp. 233-70.
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