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Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations
May 2012 (vol. 18 no. 5)
pp. 753-766
ASCII Text
x 
 
T. Martin, E. Cohen, M. M. Kirby, "Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 5, pp. 753-766, May, 2012.
 
 
BibTex
x
 
@article{ 10.1109/TVCG.2011.103,
author = {T. Martin and E. Cohen and M. M. Kirby},
title = {Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations},
journal ={IEEE Transactions on Visualization and Computer Graphics},
volume = {18},
number = {5},
issn = {1077-2626},
year = {2012},
pages = {753-766},
doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2011.103},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Visualization and Computer Graphics
TI - Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations
IS - 5
SN - 1077-2626
SP753
EP766
EPD - 753-766
A1 - T. Martin,
A1 - E. Cohen,
A1 - M. M. Kirby,
PY - 2012
KW - splines (mathematics)
KW - computational geometry
KW - data visualisation
KW - finite element analysis
KW - rendering (computer graphics)
KW - algebraic function
KW - direct isosurface visualization technique
KW - hex-based high-order geometry
KW - attribute representation
KW - unstructured curvilinear hexahedral grids
KW - high-order hexahedral-based finite element solution
KW - isogeometric analysis
KW - trivariate high-order NURBS geometry
KW - nonuniform rational B-splines geometry
KW - view-independent transparency
KW - rendering process
KW - complex-structured geometry
KW - complex-unstructured geometry
KW - high-order simulation solution
KW - medical data set
KW - Isosurfaces
KW - Splines (mathematics)
KW - Surface reconstruction
KW - Surface topography
KW - Pixel
KW - spline and piecewise polynomial interpolation.
KW - Isosurface visualization of hex-based high-order geometry and attribute representations
KW - numerical analysis
KW - roots of nonlinear equations
VL - 18
JA - IEEE Transactions on Visualization and Computer Graphics
ER -
 
T. Martin, Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA
E. Cohen, Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA
M. M. Kirby, Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA
In this paper, we present a novel isosurface visualization technique that guarantees the accurate visualization of isosurfaces with complex attribute data defined on (un)structured (curvi)linear hexahedral grids. Isosurfaces of high-order hexahedral-based finite element solutions on both uniform grids (including MRI and CT scans) and more complex geometry representing a domain of interest that can be rendered using our algorithm. Additionally, our technique can be used to directly visualize solutions and attributes in isogeometric analysis, an area based on trivariate high-order NURBS (Non-Uniform Rational B-splines) geometry and attribute representations for the analysis. Furthermore, our technique can be used to visualize isosurfaces of algebraic functions. Our approach combines subdivision and numerical root finding to form a robust and efficient isosurface visualization algorithm that does not miss surface features, while finding all intersections between a view frustum and desired isosurfaces. This allows the use of view-independent transparency in the rendering process. We demonstrate our technique through a straightforward CPU implementation on both complex-structured and complex-unstructured geometries with high-order simulation solutions, isosurfaces of medical data sets, and isosurfaces of algebraic functions.

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Index Terms:
splines (mathematics),computational geometry,data visualisation,finite element analysis,rendering (computer graphics),algebraic function,direct isosurface visualization technique,hex-based high-order geometry,attribute representation,unstructured curvilinear hexahedral grids,high-order hexahedral-based finite element solution,isogeometric analysis,trivariate high-order NURBS geometry,nonuniform rational B-splines geometry,view-independent transparency,rendering process,complex-structured geometry,complex-unstructured geometry,high-order simulation solution,medical data set,Isosurfaces,Splines (mathematics),Surface reconstruction,Surface topography,Pixel,spline and piecewise polynomial interpolation.,Isosurface visualization of hex-based high-order geometry and attribute representations,numerical analysis,roots of nonlinear equations
Citation:
T. Martin, E. Cohen, M. M. Kirby, "Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 5, pp. 753-766, May 2012, doi:10.1109/TVCG.2011.103
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