English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  Multi-level Partition of Unity Implicits

Ohtake, Y., Belyaev, A., Alexa, M., Turk, G., & Seidel, H.-P. (2003). Multi-level Partition of Unity Implicits. ACM Transactions on Graphics, 22, 463-470.

Item is

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Ohtake, Yutaka1, Author           
Belyaev, Alexander1, Author           
Alexa, Marc, Author
Turk, Greg, Author
Seidel, Hans-Peter1, Author           
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

Content

show
hide
Free keywords: -
 Abstract: We present a shape representation, the {\em multi-level partition of unity} implicit surface, that allows us to construct surface models from very large sets of points. There are three key ingredients to our approach: 1) piecewise quadratic functions that capture the local shape of the surface, 2) weighting functions (the partitions of unity) that blend together these local shape functions, and 3) an octree subdivision method that adapts to variations in the complexity of the local shape. Our approach gives us considerable flexibility in the choice of local shape functions, and in particular we can accurately represent sharp features such as edges and corners by selecting appropriate shape functions. An error-controlled subdivision leads to an adaptive approximation whose time and memory consumption depends on the required accuracy. Due to the separation of local approximation and local blending, the representation is not global and can be created and evaluated rapidly.Because our surfaces are described using implicit functions, operations such as shape blending, offsets, deformations and CSG are simple to perform.

Details

show
hide
Language(s): eng - English
 Dates: 2004-06-302003
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 201993
Other: Local-ID: C125675300671F7B-6F77EFE6032B9F9AC1256CF30069490C-sig03obats
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: ACM Transactions on Graphics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 22 Sequence Number: - Start / End Page: 463 - 470 Identifier: -