Abstract
This paper develops a scale space strategy for orienting and meshing exactly and completely a raw point set. The scale space is based on the intrinsic heat equation, also called mean curvature motion (MCM). A simple iterative scheme implementing MCM directly on the raw point set is described, and a mathematical proof of its consistency with MCM is given. Points evolved by this MCM implementation can be trivially backtracked to their initial raw position. Therefore, both the orientation and mesh of the data point set obtained at a smooth scale can be transported back on the original. The gain in visual accuracy is demonstrated on archaeological objects by comparison with several state of the art meshing methods. © 2011 The Authors.
| Original language | English |
|---|---|
| Pages (from-to) | 1630-1642 |
| Journal | Computer Graphics Forum |
| Volume | 30 |
| Issue number | 6 |
| Online published | 7 Feb 2011 |
| DOIs | |
| Publication status | Published - Sept 2011 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Funding
The authors acknowledge support by D.G.A., French Ministry of Defense, Centre National d'Etudes Spatiales (R&T MISS), Office of Naval research (grant N00014-97-1-0839) and the E.R.C. advanced grant ‘‘Twelve labours’'.
Research Keywords
- Mean curvature motion
- Mesh reconstruction
- Scale space
Fingerprint
Dive into the research topics of 'Scale space meshing of raw data point sets'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver