The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Parameterization-free projection for geometry reconstruction
Abstract
We introduce a Locally Optimal Projection operator (LOP) for surface approximation from point-set data. The operator is parameterization free, in the sense that it does not rely on estimating a local normal, fitting a local plane, or using any other local parametric representation. Therefore, it can deal with noisy data which clutters the orientation of the points. The method performs well in cases of ambiguous orientation, e.g., if two folds of a surface lie near each other, and other cases of complex geometry in which methods based upon local plane fitting may fail. Although defined by a global minimization problem, the method is effectively local, and it provides a second order approximation to smooth surfaces. Hence allowing good surface approximation without using any explicit or implicit approximation space. Furthermore, we show that LOP is highly robust to noise and outliers and demonstrate its effectiveness by applying it to raw scanned data of complex shapes.
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Cites
Reconstruction and representation of 3D objects with radial basis functions
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The digital Michelangelo project
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A new Voronoi-based surface reconstruction algorithm
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Multi-level partition of unity implicits
Ohtake, Y., Belyaev, A., Alexa, M., Turk, G., & Seidel, H.-P. (2003) · ACM Transactions on Graphics · doi:10.1145/882262.882293 · Cited by 530
A Survey of Multidimensional Medians
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Proceedings of the conference on Visualization '94
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Statistical Uses of the Spatial Median
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Cited by
P2P-NET: bidirectional point displacement net for shape transform
Yin, K., Huang, H., Cohen-Or, D., & Zhang, H. (2018) · ACM Transactions on Graphics · doi:10.1145/3197517.3201288 · Cited by 102
Self-citation
Metadata
- Authors
- Lipman, Y., Cohen-Or, D., Levin, D., & Tal-Ezer, H.
- Venue
- ACM Transactions on Graphics
- Published
- 2007-07-29
- Volume
- 26
- Issue
- 3
- Pages
- 22
- ISSN
- 0730-0301 (ISSN-L)
- 1557-7368
- OpenAlex
- W3137466219
- Cited by
- 359
- References
- 11
- FWCI
- 6.15
- Type
- journal article
- Language
- en
- Open access
- closed
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