research-article

Accelerating geometric queries using the GPU

Authors:

Adarsh Krishnamurthy,

Kirk HalleAuthors Info & Claims

SPM '09: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling

Pages 199 - 210

https://doi.org/10.1145/1629255.1629281

Published: 05 October 2009 Publication History

Abstract

We present practical algorithms for accelerating geometric queries on models made of NURBS surfaces using programmable Graphics Processing Units (GPUs). We provide a generalized framework for using GPUs as co-processors in accelerating CAD operations. By attaching the data corresponding to surface-normals to a surface bounding-box structure, we can calculate view-dependent geometric features such as silhouette curves in real time. We make use of additional surface data linked to surface bounding-box hierarchies on the GPU to answer queries such as finding the closest point on a curved NURBS surface given any point in space and evaluating the clearance between two solid models constructed using multiple NURBS surfaces. We simultaneously output the parameter values corresponding to the solution of these queries along with the model space values. Though our algorithms make use of the programmable fragment processor, the accuracy is based on the model space precision, unlike earlier graphics algorithms that were based only on image space precision. In addition, we provide theoretical bounds for both the computed minimum distance values as well as the location of the closest point. Our algorithms are at least an order of magnitude faster than the commercial solid modeling kernel ACIS.

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Cited By

Xuan ZYang HWang PSun XHao JDuan SShi YLuan ZQian D(2024)gGMED: Towards GPU Accelerated Geometric Modeling Evaluation and Derivative ProcessesAlgorithms and Architectures for Parallel Processing10.1007/978-981-97-0798-0_22(378-397)Online publication date: 1-Mar-2024
https://doi.org/10.1007/978-981-97-0798-0_22
Zhang DHe FHan SZou LWu YChen Y(2017)An efficient approach to directly compute the exact Hausdorff distance for 3D point setsIntegrated Computer-Aided Engineering10.3233/ICA-17054424:3(261-277)Online publication date: 21-Jul-2017
https://doi.org/10.3233/ICA-170544
Krishnamurthy AMcMains SHaller K(2011)GPU-Accelerated Minimum Distance and Clearance QueriesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2010.11417:6(729-742)Online publication date: 1-Jun-2011
https://dl.acm.org/doi/10.1109/TVCG.2010.114
Show More Cited By

Index Terms

Accelerating geometric queries using the GPU
1. Computing methodologies
  1. Computer graphics
2. Theory of computation
  1. Randomness, geometry and discrete structures

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Published In

cover image ACM Other conferences

SPM '09: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling

October 2009

380 pages

ISBN:9781605587110

DOI:10.1145/1629255

Conference Chair:
Wim Bronsvoort
Delft University of Technology, The Netherlands
,
General Chairs:
Daniel Gonsor
The Boeing Company
,
William Regli
Drexel University
,
Thomas Grandine
The Boeing Company
,
Jan Vandenbrande
The Boeing Company
,
Program Chairs:
Jens Gravesen
Technical University of Denmark, Denmark
,
John Keyser
Texas A&M University

Copyright © 2009 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

SIAM Activity Group on Geometric Design

In-Cooperation

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

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 05 October 2009

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Research-article

Funding Sources

SolidWorks Corporation, UC Discovery
National Science Foundation

Conference

SIAM '09

Sponsor:

SIAM '09: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling

October 5 - 8, 2009

California, San Francisco

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Cited By

Xuan ZYang HWang PSun XHao JDuan SShi YLuan ZQian D(2024)gGMED: Towards GPU Accelerated Geometric Modeling Evaluation and Derivative ProcessesAlgorithms and Architectures for Parallel Processing10.1007/978-981-97-0798-0_22(378-397)Online publication date: 1-Mar-2024
https://doi.org/10.1007/978-981-97-0798-0_22
Zhang DHe FHan SZou LWu YChen Y(2017)An efficient approach to directly compute the exact Hausdorff distance for 3D point setsIntegrated Computer-Aided Engineering10.3233/ICA-17054424:3(261-277)Online publication date: 21-Jul-2017
https://doi.org/10.3233/ICA-170544
Krishnamurthy AMcMains SHaller K(2011)GPU-Accelerated Minimum Distance and Clearance QueriesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2010.11417:6(729-742)Online publication date: 1-Jun-2011
https://dl.acm.org/doi/10.1109/TVCG.2010.114
Krishnamurthy AMcMains SHanniel I(2011)GPU-accelerated Hausdorff distance computation between dynamic deformable NURBS surfacesComputer-Aided Design10.1016/j.cad.2011.08.02243:11(1370-1379)Online publication date: 1-Nov-2011
https://dl.acm.org/doi/10.1016/j.cad.2011.08.022
Briseid SDokken THagen THauser HKlein R(2010)Heterogeneous spline surface intersectionsProceedings of the 26th Spring Conference on Computer Graphics10.1145/1925059.1925085(141-148)Online publication date: 13-May-2010
https://dl.acm.org/doi/10.1145/1925059.1925085
Krishnamurthy AMcMains SElber GFischer AKeyser JKim M(2010)Accurate moment computation using the GPUProceedings of the 14th ACM Symposium on Solid and Physical Modeling10.1145/1839778.1839790(81-90)Online publication date: 1-Sep-2010
https://dl.acm.org/doi/10.1145/1839778.1839790

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