The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Least squares conformal maps for automatic texture atlas generation
Open accessAbstract
A Texture Atlas is an efficient color representation for 3D Paint Systems. The model to be textured is decomposed into charts homeomorphic to discs, each chart is parameterized, and the unfolded charts are packed in texture space. Existing texture atlas methods for triangulated surfaces suffer from several limitations, requiring them to generate a large number of small charts with simple borders. The discontinuities between the charts cause artifacts, and make it difficult to paint large areas with regular patterns.In this paper, our main contribution is a new quasi-conformal parameterization method, based on a least-squares approximation of the Cauchy-Riemann equations. The so-defined objective function minimizes angle deformations, and we prove the following properties: the minimum is unique, independent of a similarity in texture space, independent of the resolution of the mesh and cannot generate triangle flips. The function is numerically well behaved and can therefore be very efficiently minimized. Our approach is robust, and can parameterize large charts with complex borders.We also introduce segmentation methods to decompose the model into charts with natural shapes, and a new packing algorithm to gather them in texture space. We demonstrate our approach applied to paint both scanned and modeled data sets.
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Cites
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Self-citationSurface coding based on Morse theory
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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
Schreiner, J., Asirvatham, A., Praun, E., & Hoppe, H. (2004) · ACM Transactions on Graphics · doi:10.1145/1015706.1015812 · Cited by 265
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Metadata
- Authors
- Lévy, B., Petitjean, S., Ray, N., & Maillot, J.
- Venue
- ACM Transactions on Graphics
- Published
- 2002-07
- Volume
- 21
- Issue
- 3
- Pages
- 362-371
- ISSN
- 0730-0301 (ISSN-L)
- 1557-7368
- OpenAlex
- W3000211808
- Cited by
- 699
- References
- 13
- FWCI
- 26.48
- Type
- journal article
- Language
- en
- Open access
- bronze
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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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