[{"volume":43,"author":[{"first_name":"Steffen","full_name":"Hinderink, Steffen","id":"116615","last_name":"Hinderink"},{"first_name":"Hendrik","last_name":"Brückler","id":"115694","full_name":"Brückler, Hendrik"},{"first_name":"Marcel","orcid":"0000-0003-2340-3462","last_name":"Campen","id":"114904","full_name":"Campen, Marcel"}],"date_updated":"2025-07-14T12:33:54Z","doi":"10.1145/3687950","publication_identifier":{"issn":["0730-0301","1557-7368"]},"publication_status":"published","intvolume":"        43","page":"1-11","citation":{"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>","short":"S. Hinderink, H. Brückler, M. Campen, ACM Transactions on Graphics 43 (2024) 1–11.","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} }","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>.","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>.","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>.","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>"},"department":[{"_id":"969"}],"user_id":"117512","_id":"60314","extern":"1","type":"journal_article","status":"public","date_created":"2025-06-23T09:09:51Z","publisher":"Association for Computing Machinery (ACM)","title":"Bijective Volumetric Mapping via Star Decomposition","issue":"6","year":"2024","language":[{"iso":"eng"}],"publication":"ACM Transactions on Graphics","abstract":[{"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>","lang":"eng"}]},{"extern":"1","language":[{"iso":"eng"}],"_id":"60335","department":[{"_id":"969"}],"user_id":"117512","abstract":[{"text":"<jats:p>A method is presented to compute volumetric maps and parametrizations of objects over 3D domains. As a key feature, continuity and bijectivity are ensured by construction. Arbitrary objects of ball topology, represented as tetrahedral meshes, are supported. Arbitrary convex as well as star-shaped domains are supported. Full control over the boundary mapping is provided. The method is based on the technique of simplicial foliations, generalized to a broader class of domain shapes and applied adaptively in a novel localized manner. This increases flexibility as well as efficiency over the state of the art, while maintaining reliability in guaranteeing map bijectivity.</jats:p>","lang":"eng"}],"status":"public","publication":"ACM Transactions on Graphics","type":"journal_article","title":"Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping","doi":"10.1145/3592410","date_updated":"2025-07-14T12:48:12Z","publisher":"Association for Computing Machinery (ACM)","volume":42,"date_created":"2025-06-23T10:38:02Z","author":[{"first_name":"Steffen","id":"116615","full_name":"Hinderink, Steffen","last_name":"Hinderink"},{"first_name":"Marcel","id":"114904","full_name":"Campen, Marcel","orcid":"0000-0003-2340-3462","last_name":"Campen"}],"year":"2023","page":"1-16","intvolume":"        42","citation":{"apa":"Hinderink, S., &#38; Campen, M. (2023). Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping. <i>ACM Transactions on Graphics</i>, <i>42</i>(4), 1–16. <a href=\"https://doi.org/10.1145/3592410\">https://doi.org/10.1145/3592410</a>","short":"S. Hinderink, M. Campen, ACM Transactions on Graphics 42 (2023) 1–16.","mla":"Hinderink, Steffen, and Marcel Campen. “Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping.” <i>ACM Transactions on Graphics</i>, vol. 42, no. 4, Association for Computing Machinery (ACM), 2023, pp. 1–16, doi:<a href=\"https://doi.org/10.1145/3592410\">10.1145/3592410</a>.","bibtex":"@article{Hinderink_Campen_2023, title={Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping}, volume={42}, DOI={<a href=\"https://doi.org/10.1145/3592410\">10.1145/3592410</a>}, number={4}, journal={ACM Transactions on Graphics}, publisher={Association for Computing Machinery (ACM)}, author={Hinderink, Steffen and Campen, Marcel}, year={2023}, pages={1–16} }","chicago":"Hinderink, Steffen, and Marcel Campen. “Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping.” <i>ACM Transactions on Graphics</i> 42, no. 4 (2023): 1–16. <a href=\"https://doi.org/10.1145/3592410\">https://doi.org/10.1145/3592410</a>.","ieee":"S. Hinderink and M. Campen, “Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping,” <i>ACM Transactions on Graphics</i>, vol. 42, no. 4, pp. 1–16, 2023, doi: <a href=\"https://doi.org/10.1145/3592410\">10.1145/3592410</a>.","ama":"Hinderink S, Campen M. Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping. <i>ACM Transactions on Graphics</i>. 2023;42(4):1-16. doi:<a href=\"https://doi.org/10.1145/3592410\">10.1145/3592410</a>"},"publication_identifier":{"issn":["0730-0301","1557-7368"]},"publication_status":"published","issue":"4"},{"_id":"60365","user_id":"117512","department":[{"_id":"969"}],"article_number":"102085","extern":"1","language":[{"iso":"eng"}],"type":"journal_article","publication":"Computer Aided Geometric Design","status":"public","publisher":"Elsevier BV","date_updated":"2025-07-14T12:47:05Z","author":[{"id":"116615","full_name":"Hinderink, Steffen","last_name":"Hinderink","first_name":"Steffen"},{"full_name":"Mandad, Manish","last_name":"Mandad","first_name":"Manish"},{"first_name":"Marcel","last_name":"Campen","orcid":"0000-0003-2340-3462","id":"114904","full_name":"Campen, Marcel"}],"date_created":"2025-06-25T08:50:14Z","volume":95,"title":"Angle-bounded 2D mesh simplification","doi":"10.1016/j.cagd.2022.102085","publication_status":"published","publication_identifier":{"issn":["0167-8396"]},"year":"2022","citation":{"mla":"Hinderink, Steffen, et al. “Angle-Bounded 2D Mesh Simplification.” <i>Computer Aided Geometric Design</i>, vol. 95, 102085, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.cagd.2022.102085\">10.1016/j.cagd.2022.102085</a>.","bibtex":"@article{Hinderink_Mandad_Campen_2022, title={Angle-bounded 2D mesh simplification}, volume={95}, DOI={<a href=\"https://doi.org/10.1016/j.cagd.2022.102085\">10.1016/j.cagd.2022.102085</a>}, number={102085}, journal={Computer Aided Geometric Design}, publisher={Elsevier BV}, author={Hinderink, Steffen and Mandad, Manish and Campen, Marcel}, year={2022} }","short":"S. Hinderink, M. Mandad, M. Campen, Computer Aided Geometric Design 95 (2022).","apa":"Hinderink, S., Mandad, M., &#38; Campen, M. (2022). Angle-bounded 2D mesh simplification. <i>Computer Aided Geometric Design</i>, <i>95</i>, Article 102085. <a href=\"https://doi.org/10.1016/j.cagd.2022.102085\">https://doi.org/10.1016/j.cagd.2022.102085</a>","ama":"Hinderink S, Mandad M, Campen M. Angle-bounded 2D mesh simplification. <i>Computer Aided Geometric Design</i>. 2022;95. doi:<a href=\"https://doi.org/10.1016/j.cagd.2022.102085\">10.1016/j.cagd.2022.102085</a>","ieee":"S. Hinderink, M. Mandad, and M. Campen, “Angle-bounded 2D mesh simplification,” <i>Computer Aided Geometric Design</i>, vol. 95, Art. no. 102085, 2022, doi: <a href=\"https://doi.org/10.1016/j.cagd.2022.102085\">10.1016/j.cagd.2022.102085</a>.","chicago":"Hinderink, Steffen, Manish Mandad, and Marcel Campen. “Angle-Bounded 2D Mesh Simplification.” <i>Computer Aided Geometric Design</i> 95 (2022). <a href=\"https://doi.org/10.1016/j.cagd.2022.102085\">https://doi.org/10.1016/j.cagd.2022.102085</a>."},"intvolume":"        95"}]