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Author, Editor(s)

Author(s):

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

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Not MPG Author(s):

Zeilfelder, Frank
Nürnberger, Günther

BibTeX cite key*:

rzns:qss:2004

Title

Title*:

Reconstruction of Volume Data with Quadratic Super Splines


rzns_qss_tvcg.pdf (7980.2 KB)

Journal

Journal Title*:

IEEE Transactions on Visualization and Computer Graphics

Journal's URL:

http://www.computer.org/tvcg/

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for the article:


Language:

English

Publisher

Publisher's
Name:

IEEE

Publisher's URL:

http://www.computer.org

Publisher's
Address:

Los Alamitos, USA

ISSN:


Vol, No, pp, Date

Volume*:

10

Number:

4

Publishing Date:

2004

Pages*:

397-409

Number of
VG Pages:

30

Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:


(LaTeX) Abstract:

We propose a new approach to reconstruct nondiscrete models from gridded volume samples. As a model, we use quadratic trivariate super splines on a uniform tetrahedral partition. We discuss the smoothness and approximation properties of our model and compare to alternative piecewise polynomial constructions. We observe as a non-standard phenomenon that the derivatives of our splines yield optimal approximation order for smooth data, while the theoretical error of the values is nearly optimal due to the averaging rules. Our approach enables efficient reconstruction and visualization of the data. As the piecewise polynomials are of the lowest possible total degree two, we can efficiently determine exact ray intersections with an iso-surface for ray-casting. Moreover, the optimal approximation properties of the derivatives allow to simply sample the necessary gradients directly from the polynomial pieces of the splines. Our results confirm the efficiency of the quasi-interpolating method and demonstrate high visual quality for rendered isosurfaces.

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Keywords:


HyperLinks / References / URLs:


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Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

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


BibTeX Entry:

@ARTICLE{rzns:qss:2004,
AUTHOR = {R{\"o}ssl, Christian and Zeilfelder, Frank and N{\"u}rnberger, G{\"u}nther and Seidel, Hans-Peter},
TITLE = {Reconstruction of Volume Data with Quadratic Super Splines},
JOURNAL = {IEEE Transactions on Visualization and Computer Graphics},
PUBLISHER = {IEEE},
YEAR = {2004},
NUMBER = {4},
VOLUME = {10},
PAGES = {397--409},
ADDRESS = {Los Alamitos, USA},
}


Entry last modified by Christine Kiesel, 05/24/2005
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Editor(s)
Christian Rössl
Created
03/10/2004 01:48:34 PM
Revisions
4.
3.
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1.
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Editor(s)
Christine Kiesel
Christine Kiesel
Christian Rössl
Christian Rössl
Christian Rössl
Edit Dates
24.05.2005 16:21:06
24.05.2005 16:11:37
05/12/2004 01:49:28 PM
03/10/2004 01:49:48 PM
03/10/2004 01:48:37 PM
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