The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Robust moving least-squares fitting with sharp features
Abstract
We introduce a robust moving least-squares technique for reconstructing a piecewise smooth surface from a potentially noisy point cloud. We use techniques from robust statistics to guide the creation of the neighborhoods used by the moving least squares (MLS) computation. This leads to a conceptually simple approach that provides a unified framework for not only dealing with noise, but also for enabling the modeling of surfaces with sharp features.Our technique is based on a new robust statistics method for outlier detection: the forward-search paradigm. Using this powerful technique, we locally classify regions of a point-set to multiple outlier-free smooth regions. This classification allows us to project points on a locally smooth region rather than a surface that is smooth everywhere, thus defining a piecewise smooth surface and increasing the numerical stability of the projection operator. Furthermore, by treating the points across the discontinuities as outliers, we are able to define sharp features. One of the nice features of our approach is that it automatically disregards outliers during the surface-fitting phase.
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Cites
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Self-citationZippered polygon meshes from range images
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Towards 3D Point cloud based object maps for household environments
Rusu, R. B., Marton, Z. C., Blodow, N., Dolha, M., & Beetz, M. (2008) · Robotics and Autonomous Systems · doi:10.1016/j.robot.2008.08.005 · Cited by 1,084
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
Non‐Rigid Registration Under Isometric Deformations
Huang, Q., Adams, B., Wicke, M., & Guibas, L. J. (2008) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2008.01285.x · Cited by 279
3D reconstruction methods for digital preservation of cultural heritage: A survey
Gomes, L., Regina Pereira Bellon, O., & Silva, L. (2014) · Pattern Recognition Letters · doi:10.1016/j.patrec.2014.03.023 · Cited by 267
Robust principal axes determination for point-based shapes using least median of squares
Liu, Y.-S., & Ramani, K. (2009) · Computer-Aided Design · doi:10.1016/j.cad.2008.10.012 · Cited by 46
Metadata
- Authors
- Fleishman, S., Cohen-Or, D., & Silva, C. T.
- Venue
- ACM Transactions on Graphics
- Published
- 2005-07
- Volume
- 24
- Issue
- 3
- Pages
- 544-552
- ISSN
- 0730-0301 (ISSN-L)
- 1557-7368
- OpenAlex
- W2058524213
- Cited by
- 580
- References
- 31
- FWCI
- 31.11
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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