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Issue No.05 - May (2012 vol.18)

pp: 753-766

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

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2011.103

ABSTRACT

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.

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 & Computer Graphics*, vol.18, no. 5, pp. 753-766, May 2012, doi:10.1109/TVCG.2011.103REFERENCES