research-article

Heterogeneous spline surface intersections

Authors:

Sverre Briseid,

Trond Runar HagenAuthors Info & Claims

SCCG '10: Proceedings of the 26th Spring Conference on Computer Graphics

Pages 141 - 148

https://doi.org/10.1145/1925059.1925085

Published: 13 May 2010 Publication History

Abstract

While the PC just a few years ago included only one single-core CPU and a fixed functionality graphics card, the current commodity PC is a heterogeneous system, equipped with both a multi-core CPU and a fully programmable graphics processing unit (GPU). This change has given the commodity PC one to two orders of magnitude increase in computational performance compared with a few years ago [Brodtkorb et al. 2010; Owens et al. 2008]. We will in this paper address the potential of exploiting such a parallel computational capacity for the calculation of intersections and self-intersections of spline represented surfaces. The focus will be on massive parallel spline space refinement by knot insertion, an approach much better adapted to parallel implementations than the knot insertion used in traditional recursive subdivision based intersection algorithms. Rather than presenting a complete algorithm we address the most resource demanding sub-algorithms of surface intersection and self-intersection algorithms and their relative performance on multi-core processors and GPUs for different levels of refinement. Our results show the efficiency of the sub-algorithms on the two types of processors and how this can be used to improve the overall performance on this heterogeneous system.

References

[1]

Agarwal, P. K., Krishnan, S., Mustafa, N. H., and Venkatasubramanian, S. 2004. Streaming geometric optimization using graphics hardware. In Algorithms - ESA 2003, G. Di Battista and U. Zwick, Eds. Springer Verlag, Berlin Heidelberg New York, 544--555.

[2]

Bloomenthal, J., and Wyvill, B., Eds. 1997. Introduction to Implicit Surfaces. Morgan Kaufmann Publishers Inc., San Francisco, CA, USA.

Digital Library

[3]

Briseid, S., Dokken, T., Hagen, T. R., and Nygaard, J. O. 2006. Spline surface intersections optimized for gpus. In Computational Science ICCS 2006: 6th International Conference, Reading, UK, May 28--31, 2006, Proceedings, Part IV, Springer, Berlin / Heidelberg, V. N. Alexandrov, G. D. van Albada, P. M. A. Sloot, and J. Dongarra, Eds., vol. 3994 of Lecture Notes in Computer Science, ICCS, 204--211.

Digital Library

[4]

Brodtkorb, A., Dyken, C., Hagen, T. R., Hjelmervik, J., and Storaasli, O. 2010. State-of-the-art in heterogeneous computing. Scientific Programming.

Digital Library

[5]

Chapman, B., Jost, G. J., and van der Par, R. 2007. Using OpenMP: Portable Shared Memory Parallel Programming. The MIT Press.

Digital Library

[6]

Dokken, T., and Skytt, V. 2007. Intersection algorithms and cagd. In Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF, G. Hasle, K.-A. Lie, and E. Quak, Eds. Springer Verlag, Berlin Heidelberg New York, 41--90.

[7]

Dokken, T., and Thomassen, J. B. 2003. Overview of approximate implicitization. In Topics in algebraic geometry and geometric modeling, vol. 334. Amer. Math. Soc., Providence, RI, 169--184.

[8]

Dokken, T. 1985. Finding intersections of b-spline represented geometries using recursive subdivision techniques. Comput. Aided Geom. Design 2, 189--195.

Digital Library

[9]

Farin, G. 2002. Curves and surfaces for CAGD: a practical guide. Morgan Kaufmann Publishers Inc., San Francisco, CA, USA.

Digital Library

[10]

Hoff, III, K. E., Zaferakis, A., Lin, M., and Manocha, D. 2001. Fast and simple 2d geometric proximity queries using graphics hardware. In I3D '01: Proceedings of the 2001 symposium on Interactive 3D graphics, ACM, New York, NY, USA, 145--148.

Digital Library

[11]

Kirk, D. B., and Hwu, W.-M. W. 2010. Programming Massively Parallel Processors: A Hands-on Approach. Morgan Kaufmann.

Digital Library

[12]

Krishnamurthy, A., McMains, S., and Halle, K. 2009. Accelerating geometric queries using the gpu. In SPM '09: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, ACM, New York, NY, USA, 199--210.

Digital Library

[13]

Owens, J., Houston, M., Luebke, D., Green, S., Stone, J., and Phillips, J. 2008. Gpu computing. Proceedings of the IEEE 96(5), 879--899.

[14]

Sinha, P., Klassen, E., and Wang, K. 1985. Exploiting topological and geometric properties for selective subdivision. In Symposium on Computational Geometry. ACM Press, 39--45.

Digital Library

[15]

Viro, O. 2008. From the sixteenth Hilbert problem to tropical geometry. Japanese Journal of Mathematics 3, 185--214.

Cited By

Lin HQin YLiao HXiong Y(2014)Affine Arithmetic-Based B-Spline Surface Intersection with GPU AccelerationIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2013.23720:2(172-181)Online publication date: 1-Feb-2014
https://dl.acm.org/doi/10.1109/TVCG.2013.237
Feito FRuiz-De-Miras JRivero MSegura RTorres J(2014)From theoretical graphic objects to real free-form solidsInformation Sciences: an International Journal10.1016/j.ins.2014.01.012269(73-93)Online publication date: 1-Jun-2014
https://dl.acm.org/doi/10.1016/j.ins.2014.01.012

Index Terms

Heterogeneous spline surface intersections

Recommendations

A performance study of general-purpose applications on graphics processors using CUDA

Graphics processors (GPUs) provide a vast number of simple, data-parallel, deeply multithreaded cores and high memory bandwidths. GPU architectures are becoming increasingly programmable, offering the potential for dramatic speedups for a variety of ...
SIMD Monte-Carlo Numerical Simulations Accelerated on GPU and Xeon Phi

The efficiency of a pleasingly parallel application is studied for several computing platforms. A real world problem, i.e., Monte-Carlo numerical simulations of stratospheric balloon envelope drift descent is considered. We detail the optimization of ...
Performance analysis of the OP2 framework on many-core architectures
Special issue on the 1st international workshop on performance modeling, benchmarking and simulation of high performance computing systems (PMBS 10)

We present a performance analysis and benchmarking study of the OP2 "active" library, which provides an abstraction framework for the solution of parallel unstructured mesh applications. OP2 aims to decouple the scientific specification of the ...

Comments

Information & Contributors

Information

Published In

cover image ACM Other conferences

SCCG '10: Proceedings of the 26th Spring Conference on Computer Graphics

May 2010

180 pages

ISBN:9781450305587

DOI:10.1145/1925059

Conference Chairs:
Helwig Hauser
University of Bergen, Norway
,
Reinhard Klein
University of Bonn, Germany

Copyright © 2010 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

Comenius University: Comenius University
SIS: Slovak informatics society
Hewlett-Packard
SUTB: Slovak University of Technology in Bratislava

In-Cooperation

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 13 May 2010

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tags

Qualifiers

Research-article

Conference

SCCG '10

Sponsor:

Comenius University
SIS
SUTB

SCCG '10: Spring Conference on Computer Graphics

May 13 - 15, 2010

Budmerice, Slovakia

Acceptance Rates

Overall Acceptance Rate 42 of 81 submissions, 52%

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

2
Total Citations
View Citations
109
Total Downloads

Downloads (Last 12 months)7
Downloads (Last 6 weeks)0

Reflects downloads up to 16 Oct 2024

Other Metrics

View Author Metrics

Citations

Cited By

Lin HQin YLiao HXiong Y(2014)Affine Arithmetic-Based B-Spline Surface Intersection with GPU AccelerationIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2013.23720:2(172-181)Online publication date: 1-Feb-2014
https://dl.acm.org/doi/10.1109/TVCG.2013.237
Feito FRuiz-De-Miras JRivero MSegura RTorres J(2014)From theoretical graphic objects to real free-form solidsInformation Sciences: an International Journal10.1016/j.ins.2014.01.012269(73-93)Online publication date: 1-Jun-2014
https://dl.acm.org/doi/10.1016/j.ins.2014.01.012

View Options

Get Access

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Publication

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Media

Figures

Other

Tables

View Table of Contents