Crane, Keenan and Desbrun, Mathieu and Schröder, Peter (2010) Trivial Connections on Discrete Surfaces. Computer Graphics Forum, 29 (5). pp. 1525-1533. ISSN 0167-7055. doi:10.1111/j.1467-8659.2010.01761.x. https://resolver.caltech.edu/CaltechAUTHORS:20101011-145011916
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Published Version
Restricted to Repository administrators only See Usage Policy. 12MB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20101011-145011916
Abstract
This paper presents a straightforward algorithm for constructing connections on discrete surfaces that are as smooth as possible everywhere but on a set of isolated singularities with given index. We compute these connections by solving a single linear system built from standard operators. The solution can be used to design rotationally symmetric direction fields with user-specified singularities and directional constraints.
| Item Type: | Article | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||||||||||
| ORCID: |
| ||||||||||||||
| Additional Information: | © 2010 The Author(s). Journal compilation © 2010 The Eurographics Association and Blackwell Publishing Ltd. Article first published online: 21 Sep. 2010. Meshes are courtesy of the AIM@Shape Project, the Stanford 3D Scanning Repository, Jotero GbR, and Hugues Hoppe. Thanks to Felix Kälberer, Matthias Nieser, and Konrad Polthier for parameterizing the Aphrodite model using Quad- Cover [KNP07]. This research was partially funded by NSF grants (CCF-0635112, CCF-0811373, CMMI-0757106, and CCF-1011944), the Center for the Mathematics of Information at Caltech, and the IAS at TU München. | ||||||||||||||
| Funders: |
| ||||||||||||||
| Issue or Number: | 5 | ||||||||||||||
| DOI: | 10.1111/j.1467-8659.2010.01761.x | ||||||||||||||
| Record Number: | CaltechAUTHORS:20101011-145011916 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20101011-145011916 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 20387 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||
| Deposited On: | 29 Nov 2010 23:51 | ||||||||||||||
| Last Modified: | 08 Nov 2021 23:59 |
Repository Staff Only: item control page
