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  Visualization of volume data with quadratic super splines

Rössl, C., Zeilfelder, F., Nürnberger, G., & Seidel, H.-P.(2003). Visualization of volume data with quadratic super splines (MPI-I-2004-4-006). Saarbrücken: Max-Planck-Institut für Informatik. Retrieved from http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2004-4-006.

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Rössl, Christian1, Author              
Zeilfelder, Frank1, Author              
Nürnberger, Günther2, Author
Seidel, Hans-Peter1, Author              
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1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2External Organizations, ou_persistent22              

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 Abstract: We develop a new approach to reconstruct non-discrete models from gridded volume samples. As a model, we use quadratic, trivariate super splines on a uniform tetrahedral partition $\Delta$. The approximating splines are determined in a natural and completely symmetric way by averaging local data samples such that appropriate smoothness conditions are automatically satisfied. On each tetrahedron of $\Delta$ , the spline is a polynomial of total degree two which provides several advantages including the e cient computation, evaluation and visualization of the model. We apply Bernstein-B{\´e}zier techniques wellknown in Computer Aided Geometric Design to compute and evaluate the trivariate spline and its gradient. With this approach the volume data can be visualized e ciently e.g. with isosurface ray-casting. Along an arbitrary ray the splines are univariate, piecewise quadratics and thus the exact intersection for a prescribed isovalue can be easily determined in an analytic and exact way. Our results confirm the e ciency of the method and demonstrate a high visual quality for rendered isosurfaces.

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Language(s): eng - English
 Dates: 20032003
 Publication Status: Published in print
 Pages: 15 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-2004-4-006
URI: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2004-4-006
BibTex Citekey: RoesslZeilfelderNürnbergerSeidel2003
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