{"intvolume":"        43","page":"1-11","volume":43,"status":"public","_id":"60314","type":"journal_article","publication":"ACM Transactions on Graphics","publisher":"Association for Computing Machinery (ACM)","publication_status":"published","user_id":"117512","date_updated":"2025-07-14T12:33:54Z","language":[{"iso":"eng"}],"title":"Bijective Volumetric Mapping via Star Decomposition","year":"2024","author":[{"last_name":"Hinderink","id":"116615","first_name":"Steffen","full_name":"Hinderink, Steffen"},{"first_name":"Hendrik","full_name":"Brückler, Hendrik","id":"115694","last_name":"Brückler"},{"first_name":"Marcel","full_name":"Campen, Marcel","orcid":"0000-0003-2340-3462","last_name":"Campen","id":"114904"}],"department":[{"_id":"969"}],"date_created":"2025-06-23T09:09:51Z","extern":"1","doi":"10.1145/3687950","abstract":[{"lang":"eng","text":"<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>"}],"citation":{"bibtex":"@article{Hinderink_Brückler_Campen_2024, title={Bijective Volumetric Mapping via Star Decomposition}, volume={43}, DOI={<a href=\"https://doi.org/10.1145/3687950\">10.1145/3687950</a>}, 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} }","ieee":"S. Hinderink, H. Brückler, and M. Campen, “Bijective Volumetric Mapping via Star Decomposition,” <i>ACM Transactions on Graphics</i>, vol. 43, no. 6, pp. 1–11, 2024, doi: <a href=\"https://doi.org/10.1145/3687950\">10.1145/3687950</a>.","chicago":"Hinderink, Steffen, Hendrik Brückler, and Marcel Campen. “Bijective Volumetric Mapping via Star Decomposition.” <i>ACM Transactions on Graphics</i> 43, no. 6 (2024): 1–11. <a href=\"https://doi.org/10.1145/3687950\">https://doi.org/10.1145/3687950</a>.","short":"S. Hinderink, H. Brückler, M. Campen, ACM Transactions on Graphics 43 (2024) 1–11.","ama":"Hinderink S, Brückler H, Campen M. Bijective Volumetric Mapping via Star Decomposition. <i>ACM Transactions on Graphics</i>. 2024;43(6):1-11. doi:<a href=\"https://doi.org/10.1145/3687950\">10.1145/3687950</a>","mla":"Hinderink, Steffen, et al. “Bijective Volumetric Mapping via Star Decomposition.” <i>ACM Transactions on Graphics</i>, vol. 43, no. 6, Association for Computing Machinery (ACM), 2024, pp. 1–11, doi:<a href=\"https://doi.org/10.1145/3687950\">10.1145/3687950</a>.","apa":"Hinderink, S., Brückler, H., &#38; Campen, M. (2024). Bijective Volumetric Mapping via Star Decomposition. <i>ACM Transactions on Graphics</i>, <i>43</i>(6), 1–11. <a href=\"https://doi.org/10.1145/3687950\">https://doi.org/10.1145/3687950</a>"},"publication_identifier":{"issn":["0730-0301","1557-7368"]},"issue":"6"}