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Author, Editor

Author(s):

Rössl, Christian
Zeilfelder, Frank
Nürnberger, Günther
Seidel, Hans-Peter

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Not MPG Author(s):

Zeilfelder, Frank
Nürnberger, Günther

Editor(s):

Elber, Gershon
Patrikalakis, Nick
Brunet, Pere

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dblp
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Not MPII Editor(s):

Elber, Gershon
Patrikalakis, Nick
Brunet, Pere

BibTeX cite key*:

rzns:sagvd:04

Title, Booktitle

Title*:

Spline Approximation of General Volumetric Data


sm04.pdf (4955.91 KB)

Booktitle*:

Proceedings of the 9th ACM Symposium on Solid Modeling and Applications (SM 2004)

Event, URLs

URL of the conference:

http://smism04.ge.imati.cnr.it/

URL for downloading the paper:


Event Address*:

Genova, Italy

Language:

English

Event Date*
(no longer used):


Organization:

Eurographics/ACM SIGGRAPH

Event Start Date:

9 June 2004

Event End Date:

11 June 2004

Publisher

Name*:

Eurographics

URL:

http://digilib.eg.org

Address*:

Aire-la-Ville, Switzerland

Type:


Vol, No, Year, pp.

Series:


Volume:


Number:


Month:


Pages:

71-82

Year*:

2004

VG Wort Pages:

20

ISBN/ISSN:

3-905673-55-X

Sequence Number:


DOI:




Note, Abstract, ©


(LaTeX) Abstract:

We present an efficient algorithm for approximating huge general
volumetric data sets, i.e.~the data is given over arbitrarily shaped
volumes and consists of up to millions of samples. The method is based
on cubic trivariate splines, i.e.~piecewise polynomials of total
degree three defined w.r.t. uniform type-6 tetrahedral partitions of
the volumetric domain. Similar as in the recent bivariate
approximation approaches, the splines in three variables
are automatically determined from the discrete data as a result of a
two-step method, where local discrete least
squares polynomial approximations of varying degrees are extended by
using natural conditions, i.e.the continuity and smoothness properties
which determine the underlying spline space. The main advantages of
this approach with linear algorithmic complexity are as follows: no
tetrahedral partition of the volume data is needed, only small
linear systems have to be solved, the local variation and
distribution of the data is automatically adapted,
Bernstein-B{\'e}zier techniques well-known in Computer Aided
Geometric Design (CAGD) can be fully exploited, noisy data are
automatically smoothed. Our numerical examples with huge data sets
for synthetic data as well as some real-world data confirm the
efficiency of the methods, show the high quality of the spline
approximation, and illustrate that the rendered iso-surfaces inherit
a visual smooth appearance from the volume approximating splines.



Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:

@INPROCEEDINGS{rzns:sagvd:04,
AUTHOR = {R{\"o}ssl, Christian and Zeilfelder, Frank and N{\"u}rnberger, G{\"u}nther and Seidel, Hans-Peter},
EDITOR = {Elber, Gershon and Patrikalakis, Nick and Brunet, Pere},
TITLE = {Spline Approximation of General Volumetric Data},
BOOKTITLE = {Proceedings of the 9th ACM Symposium on Solid Modeling and Applications (SM 2004)},
PUBLISHER = {Eurographics},
YEAR = {2004},
ORGANIZATION = {Eurographics/ACM SIGGRAPH},
PAGES = {71--82},
ADDRESS = {Genova, Italy},
ISBN = {3-905673-55-X},
}


Entry last modified by Christine Kiesel, 04/27/2005
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Editor(s)
Christian Rössl
Created
04/14/2004 10:02:10 AM
Revisions
9.
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Editor(s)
Christine Kiesel
Anja Becker
Christine Kiesel
Christian Rössl
Christian Rössl
Edit Dates
03.05.2005 15:37:46
04.02.2005 10:34:38
24.06.2004 13:46:29
06/14/2004 11:34:34 AM
06/14/2004 09:36:58 AM
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