English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
 DetailsSummary
  Mean Value Bézier Maps

Langer, T., Belyaev, A., & Seidel, H.-P. (2008). Mean Value Bézier Maps. In F. Chen, & B. Jüttler (Eds.), Advances in Geometric Modeling and Processing: 5th International Conference, GMP 2008 (pp. 231-243). Berlin: Springer.

Item is

 

show all hide all

Basic

show hide
Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1C30-1 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1C32-E
Genre: Conference Paper

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Langer, Torsten1, Author           
Belyaev, Alexander1, Author           
Seidel, Hans-Peter1, Author           
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

Content

show
hide
Free keywords: -
 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.

Details

show
hide
Language(s): eng - English
 Dates: 2009-03-252008
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 428144
DOI: 10.1007/978-3-540-79246-8_18
URI: http://dx.doi.org/10.1007/978-3-540-79246-8_18
Other: Local-ID: C125756E0038A185-95E5933EF8BCA8D2C12573D4005C6D92-LangerGMP08
 Degree: -

Event

show
hide
Title: Untitled Event
Place of Event: Hangzhou, China
Start-/End Date: 2008-04-23 - 2008-04-25

Legal Case

show

Project information

show

Source 1

show
hide
Title: Advances in Geometric Modeling and Processing : 5th International Conference, GMP 2008
Source Genre: Proceedings
 Creator(s):
Chen, Falai, Editor
Jüttler, Bert, Editor
Affiliations:
-
Publ. Info: Berlin : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 231 - 243 Identifier: ISBN: 978-3-540-79245-1/0302-9743

Source 2

show
hide
Title: Lecture Notes in Computer Science
Source Genre: Series
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 4975 Sequence Number: - Start / End Page: - Identifier: -