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Author, Editor

Author(s):

Langer, Torsten
Belyaev, Alexander
Seidel, Hans-Peter

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Editor(s):

Fellner, Dieter W.
Spencer, Stephen N.
Sheffer, Alla
Polthier, Konrad

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Not MPII Editor(s):

Fellner, Dieter W.
Spencer, Stephen N.
Sheffer, Alla
Polthier, Konrad

BibTeX cite key*:

LangerSGP06

Title, Booktitle

Title*:

Spherical Barycentric Coordinates


paper.pdf (954.1 KB); paperSGP06.ps (4500.33 KB)

Booktitle*:

SGP 2006 : Fourth Eurographics/ACM SIGGRAPH Symposium on Geometry Processing

Event, URLs

URL of the conference:

http://www.geometryprocessing.org

URL for downloading the paper:

http://diglib.eg.org/EG/DL/WS/SGP

Event Address*:

Cagliari, Sardinia, Italy

Language:

English

Event Date*
(no longer used):


Organization:


Event Start Date:

26 June 2006

Event End Date:

28 June 2006

Publisher

Name*:

Eurographics

URL:

http://www.eg.org

Address*:

Aire-la-Ville, Switzerland

Type:


Vol, No, Year, pp.

Series:


Volume:


Number:


Month:

June

Pages:

81-88

Year*:

2006

VG Wort Pages:

24

ISBN/ISSN:

3-905673-36-3

Sequence Number:


DOI:




Note, Abstract, ©


(LaTeX) Abstract:

We develop spherical barycentric coordinates. Analogous to classical,
planar barycentric coordinates that describe the positions of points in a plane with respect to
the vertices of a given planar polygon, spherical barycentric coordinates describe the positions
of points on a sphere with respect to the vertices of a given spherical polygon.
In particular, we introduce spherical mean value coordinates that inherit many
good properties of their planar counterparts.
Furthermore, we present a construction that gives a simple and intuitive geometric interpretation for
classical barycentric coordinates, like Wachspress coordinates, mean value coordinates, and discrete
harmonic coordinates.

One of the most interesting consequences is the possibility to
construct mean value coordinates for arbitrary polygonal meshes.
So far, this was only possible for triangular meshes. Furthermore, spherical barycentric coordinates
can be used for all applications where only planar barycentric coordinates were available up to now.
They include B\'ezier surfaces, parameterization, free-form deformations, and interpolation of rotations.

Keywords:

Barycentric Coordinates, Mean Value Coordinates

HyperLinks / References / URLs:

http://diglib.eg.org/EG/DL/WS/SGP/SGP06
http://sgp2006.sc.unica.it/SGP06_overview.pdf

Copyright Message:

The definite version is available at diglib.eg.org.


Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Audience:

popular

Appearance:

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



BibTeX Entry:

@INPROCEEDINGS{LangerSGP06,
AUTHOR = {Langer, Torsten and Belyaev, Alexander and Seidel, Hans-Peter},
EDITOR = {Fellner, Dieter W. and Spencer, Stephen N. and Sheffer, Alla and Polthier, Konrad},
TITLE = {Spherical Barycentric Coordinates},
BOOKTITLE = {SGP 2006 : Fourth Eurographics/ACM SIGGRAPH Symposium on Geometry Processing},
PUBLISHER = {Eurographics},
YEAR = {2006},
PAGES = {81--88},
ADDRESS = {Cagliari, Sardinia, Italy},
MONTH = {June},
ISBN = {3-905673-36-3},
ISBN = {1727-8384},
}


Entry last modified by Torsten Langer, 07/02/2007
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Editor(s)
Torsten Langer
Created
08/02/2006 11:34:01 AM
Revisions
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Editor(s)
Torsten Langer
Christine Kiesel
Christine Kiesel
Christine Kiesel
Christine Kiesel
Edit Dates
07/02/2007 04:50:01 PM
03.03.2007 15:17:41
27.02.2007 16:49:42
27.02.2007 15:37:30
12.02.2007 14:41:47
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