GPU-based volume visualization from high-order finite element fields

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Publication Type pre-print
School or College College of Engineering
Department Computing, School of
Creator Kirby, Robert Michael
Other Author Nelson, Blake; Haimes, Robert
Title GPU-based volume visualization from high-order finite element fields
Date 2014-01-01
Description This paper describes a new volume rendering system for spectral/hp finite-element methods that has as its goal to be both accurate and interactive. Even though high-order finite element methods are commonly used by scientists and engineers, there are few visualization methods designed to display this data directly. Consequently, visualizations of high-order data are generally created by first sampling the high-order field onto a regular grid and then generating the visualization via traditional methods based on linear interpolation. This approach, however, introduces error into the visualization pipeline and requires the user to balance image quality, interactivity, and resource consumption. We first show that evaluation of the volume rendering integral, when applied to the composition of piecewise-smooth transfer functions with the high-order scalar field, typically exhibits second-order convergence for a wide range of high-order quadrature schemes, and has worst case first-order convergence. This result provides bounds on the ability to achieve high-order convergence to the volume rendering integral. We then develop an algorithm for optimized evaluation of the volume rendering integral, based on the categorization of each ray according to the local behavior of the field and transfer function. We demonstrate the effectiveness of our system by running performance benchmarks on several high-order fluid-flow simulations.
Type Text
Publisher Institute of Electrical and Electronics Engineers (IEEE)
Volume 20
Issue 1
First Page 70
Last Page 83
Language eng
Bibliographic Citation Nelson, B., Kirby, R .M., & Haimes, R. (2014). GPU-based volume visualization from high-order finite element fields. IEEE Transactions on Visualization and Computer Graphics, 20(1), 70-83.
Rights Management (c) 2014 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Format Medium application/pdf
Format Extent 1,417,229 bytes
Identifier uspace,18422
ARK ark:/87278/s6gj2sw9
Setname ir_uspace
Date Created 2014-03-03
Date Modified 2014-03-03
ID 711529
Reference URL https://collections.lib.utah.edu/ark:/87278/s6gj2sw9
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