{"status":"public","_id":"60335","type":"journal_article","page":"1-16","intvolume":" 42","volume":42,"publication_status":"published","user_id":"117512","publication":"ACM Transactions on Graphics","publisher":"Association for Computing Machinery (ACM)","date_updated":"2025-07-14T12:48:12Z","language":[{"iso":"eng"}],"title":"Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping","year":"2023","abstract":[{"text":"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.","lang":"eng"}],"doi":"10.1145/3592410","author":[{"last_name":"Hinderink","id":"116615","first_name":"Steffen","full_name":"Hinderink, Steffen"},{"first_name":"Marcel","full_name":"Campen, Marcel","orcid":"0000-0003-2340-3462","last_name":"Campen","id":"114904"}],"extern":"1","date_created":"2025-06-23T10:38:02Z","department":[{"_id":"969"}],"citation":{"apa":"Hinderink, S., & Campen, M. (2023). Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping. ACM Transactions on Graphics, 42(4), 1–16. https://doi.org/10.1145/3592410","mla":"Hinderink, Steffen, and Marcel Campen. “Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping.” ACM Transactions on Graphics, vol. 42, no. 4, Association for Computing Machinery (ACM), 2023, pp. 1–16, doi:10.1145/3592410.","ama":"Hinderink S, Campen M. Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping. ACM Transactions on Graphics. 2023;42(4):1-16. doi:10.1145/3592410","short":"S. Hinderink, M. Campen, ACM Transactions on Graphics 42 (2023) 1–16.","chicago":"Hinderink, Steffen, and Marcel Campen. “Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping.” ACM Transactions on Graphics 42, no. 4 (2023): 1–16. https://doi.org/10.1145/3592410.","ieee":"S. Hinderink and M. Campen, “Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping,” ACM Transactions on Graphics, vol. 42, no. 4, pp. 1–16, 2023, doi: 10.1145/3592410.","bibtex":"@article{Hinderink_Campen_2023, title={Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping}, volume={42}, DOI={10.1145/3592410}, number={4}, journal={ACM Transactions on Graphics}, publisher={Association for Computing Machinery (ACM)}, author={Hinderink, Steffen and Campen, Marcel}, year={2023}, pages={1–16} }"},"issue":"4","publication_identifier":{"issn":["0730-0301","1557-7368"]}}