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Efficient Implementation of Marching Cubes' Cases with Topological Guarantees
Abstract
Marching Cubes methods first offered visual access to experimental and theoretical volumetric data. The implementation of this method usually relies on a small look-up table; many enhancements and optimizations of Marching Cubes still use it. However, this look-up table can lead to cracks and inconsistent topology. This paper introduces a full implementation of Chernyaev's technique to ensure a topologically correct result, i.e., a manifold mesh, for any input data. It completes the original paper for the ambiguity resolution and for the feasibility of the implementation. Moreover, the cube interpolation provided here can be used in a wider range of methods. The source code is available online.
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Cited by
Zwanenburg, A., Vallières, M., Abdalah, M. A., Aerts, H. J. W. L., Andrearczyk, V., Apte, A., Ashrafinia, S., Bakas, S., Beukinga, R. J., Boellaard, R., et al. (2020) · Radiology · doi:10.1148/radiol.2020191145 · Cited by 4,177
Drishti: a volume exploration and presentation tool
Limaye, A. (2012) · SPIE Proceedings · doi:10.1117/12.935640 · Cited by 526
Pix3D: Dataset and Methods for Single-Image 3D Shape Modeling
Sun, X., Wu, J., Zhang, X., Zhang, Z., Zhang, C., Xue, T., Tenenbaum, J. B., & Freeman, W. T. (2018) · 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition · doi:10.1109/cvpr.2018.00314 · Cited by 455
NeuroMechFly, a neuromechanical model of adult Drosophila melanogaster
Lobato-Rios, V., Ramalingasetty, S. T., Özdil, P. G., Arreguit, J., Ijspeert, A. J., & Ramdya, P. (2022) · Nature Methods · doi:10.1038/s41592-022-01466-7 · Cited by 88
Metadata
- Authors
- Lewiner, T., Lopes, H., Vieira, A. W., & Tavares, G.
- Venue
- Journal of Graphics Tools
- Publisher
- Informa UK Limited
- Published
- 2003-01
- Volume
- 8
- Issue
- 2
- Pages
- 1-15
- ISSN
- 1086-7651 (ISSN-L)
- OpenAlex
- W2083461908
- Cited by
- 520
- References
- 0
- FWCI
- 15.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lewiner, T., Lopes, H., Vieira, A. W., & Tavares, G. (2003). Efficient Implementation of Marching Cubes' Cases with Topological Guarantees. Journal of Graphics Tools. https://doi.org/10.1080/10867651.2003.10487582
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
