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Author, Editor

Author(s):

Langer, Torsten
Belyaev, Alexander
Seidel, Hans-Peter

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Not MPG Author(s):

Belyaev, Alexander

Editor(s):

Chen, Falai
Jüttler, Bert

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dblp

Not MPII Editor(s):

Chen, Falai
Jüttler, Bert

BibTeX cite key*:

LangerGMP08

Title, Booktitle

Title*:

Mean Value B\'ezier Maps


paper.pdf (959.62 KB)

Booktitle*:

Advances in Geometric Modeling and Processing

Event, URLs

URL of the conference:

http://www.math.zju.edu.cn/gmp2008/index.html

URL for downloading the paper:


Event Address*:

Hangzhou, China

Language:

English

Event Date*
(no longer used):


Organization:


Event Start Date:

23 April 2008

Event End Date:

25 April 2008

Publisher

Name*:

Springer

URL:

http://www.springer.com

Address*:

Berlin

Type:


Vol, No, Year, pp.

Series:

Lecture Notes in Computer Science

Volume:

4975

Number:


Month:


Pages:

231-243

Year*:

2008

VG Wort Pages:

21

ISBN/ISSN:

978-3-540-79245-1/0302-9743

Sequence Number:


DOI:




Note, Abstract, ©


(LaTeX) Abstract:

Bernstein polynomials are a classical tool in Computer Aided Design to create smooth maps
with a high degree of local control.
They are used for the construction of B\'ezier surfaces, free-form deformations, and many other applications.
However, classical Bernstein polynomials are only defined for simplices and parallelepipeds.
These can in general not directly capture the shape of arbitrary objects. Instead,
a tessellation of the desired domain has to be done first.

We construct smooth maps on arbitrary sets of polytopes
such that the restriction to each of the polytopes is a Bernstein polynomial in mean value coordinates
(or any other generalized barycentric coordinates).
In particular, we show how smooth transitions between different
domain polytopes can be ensured.

Keywords:

Mathematical foundations of CAGD, Shape representation, Curves and Surfaces, Computer Graphics, Mean value coordinates, B\'ezier surfaces



Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Audience:

experts only

Appearance:

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



BibTeX Entry:

@INPROCEEDINGS{LangerGMP08,
AUTHOR = {Langer, Torsten and Belyaev, Alexander and Seidel, Hans-Peter},
EDITOR = {Chen, Falai and J{\"u}ttler, Bert},
TITLE = {Mean Value {B\'e}zier Maps},
BOOKTITLE = {Advances in Geometric Modeling and Processing},
PUBLISHER = {Springer},
YEAR = {2008},
VOLUME = {4975},
PAGES = {231--243},
SERIES = {Lecture Notes in Computer Science},
ADDRESS = {Hangzhou, China},
ISBN = {978-3-540-79245-1/0302-9743},
}


Entry last modified by Torsten Langer, 03/03/2009
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Editor(s)
Torsten Langer
Created
01/18/2008 05:49:33 PM
Revisions
2.
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0.

Editor(s)
Torsten Langer
Torsten Langer
Torsten Langer

Edit Dates
04/28/2008 04:12:39 PM
02/28/2008 01:22:53 PM
01/18/2008 05:49:33 PM

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