The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Defining point-set surfaces
Open accessAbstract
The MLS surface [Levin 2003], used for modeling and rendering with point clouds, was originally defined algorithmically as the output of a particular meshless construction. We give a new explicit definition in terms of the critical points of an energy function on lines determined by a vector field. This definition reveals connections to research in computer vision and computational topology.Variants of the MLS surface can be created by varying the vector field and the energy function. As an example, we define a similar surface determined by a cloud of surfels (points equipped with normals), rather than points.We also observe that some procedures described in the literature to take points in space onto the MLS surface fail to do so, and we describe a simple iterative procedure which does.
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Cites
Reconstruction and representation of 3D objects with radial basis functions
Carr, J. C., Beatson, R. K., Cherrie, J. B., Mitchell, T. J., Fright, W. R., McCallum, B. C., & Evans, T. R. (2001) · Proceedings of the 28th annual conference on Computer graphics and interactive techniques · doi:10.1145/383259.383266 · Cited by 1,852
Cited by
Robust moving least-squares fitting with sharp features
Fleishman, S., Cohen-Or, D., & Silva, C. T. (2005) · ACM Transactions on Graphics · doi:10.1145/1073204.1073227 · Cited by 580
Wiley, D. F., Amenta, N., Alcantara, D. A., Ghosh, D., Kil, Y. J., Delson, E., Harcourt-Smith, W., Rohlf, F. J., St. John, K., & Hamann, B. (2006) · VIS 05. IEEE Visualization, 2005. · doi:10.1109/visual.2005.1532826 · Cited by 391
Self-citationParameterization-free projection for geometry reconstruction
Lipman, Y., Cohen-Or, D., Levin, D., & Tal-Ezer, H. (2007) · ACM Transactions on Graphics · doi:10.1145/1276377.1276405 · Cited by 359
Reassembling fractured objects by geometric matching
Huang, Q.-X., Flöry, S., Gelfand, N., Hofer, M., & Pottmann, H. (2006) · ACM Transactions on Graphics · doi:10.1145/1141911.1141925 · Cited by 329
Metadata
- Authors
- Amenta, N., & Kil, Y. J.
- Venue
- ACM Transactions on Graphics
- Published
- 2004-08
- Volume
- 23
- Issue
- 3
- Pages
- 264-270
- ISSN
- 0730-0301 (ISSN-L)
- 1557-7368
- OpenAlex
- W2162979765
- Cited by
- 305
- References
- 1
- FWCI
- 37.53
- Type
- journal article
- Language
- en
- Open access
- green
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