Bijective Volumetric Mapping via Star Decomposition
S. Hinderink, H. Brückler, M. Campen, ACM Transactions on Graphics 43 (2024) 1–11.
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Abstract
<jats:p>A method for the construction of bijective volumetric maps between 3D shapes is presented. Arbitrary shapes of ball-topology are supported, overcoming restrictions of previous methods to convex or star-shaped targets. In essence, the mapping problem is decomposed into a set of simpler mapping problems, each of which can be solved with previous methods for discrete star-shaped mapping problems. Addressing the key challenges in this endeavor, algorithms are described to reliably construct structurally compatible partitions of two shapes with constraints regarding star-shapedness and to compute a parsimonious common refinement of two triangulations.</jats:p>
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ACM Transactions on Graphics
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43
Issue
6
Page
1-11
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Hinderink S, Brückler H, Campen M. Bijective Volumetric Mapping via Star Decomposition. ACM Transactions on Graphics. 2024;43(6):1-11. doi:10.1145/3687950
Hinderink, S., Brückler, H., & Campen, M. (2024). Bijective Volumetric Mapping via Star Decomposition. ACM Transactions on Graphics, 43(6), 1–11. https://doi.org/10.1145/3687950
@article{Hinderink_Brückler_Campen_2024, title={Bijective Volumetric Mapping via Star Decomposition}, volume={43}, DOI={10.1145/3687950}, number={6}, journal={ACM Transactions on Graphics}, publisher={Association for Computing Machinery (ACM)}, author={Hinderink, Steffen and Brückler, Hendrik and Campen, Marcel}, year={2024}, pages={1–11} }
Hinderink, Steffen, Hendrik Brückler, and Marcel Campen. “Bijective Volumetric Mapping via Star Decomposition.” ACM Transactions on Graphics 43, no. 6 (2024): 1–11. https://doi.org/10.1145/3687950.
S. Hinderink, H. Brückler, and M. Campen, “Bijective Volumetric Mapping via Star Decomposition,” ACM Transactions on Graphics, vol. 43, no. 6, pp. 1–11, 2024, doi: 10.1145/3687950.
Hinderink, Steffen, et al. “Bijective Volumetric Mapping via Star Decomposition.” ACM Transactions on Graphics, vol. 43, no. 6, Association for Computing Machinery (ACM), 2024, pp. 1–11, doi:10.1145/3687950.
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