[{"abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    An algorithm for cutting solid objects in a topology‐controlled manner is presented. Concretely, given a loop on the object boundary, a disk‐topology cut surface bounded by the loop is constructed in the interior. In contrast to various previous approaches, both disk topology and conformance to the prescribed loop are ensured by construction, while supporting not only contractible but also incontractible loops on the boundaries of manifold objects of higher genus and arbitrary non‐trivial topology. We describe an implementation of this algorithm in the discrete setting, with triangle mesh cut surfaces embedded in tetrahedral mesh objects. Making use of this novel cutting algorithm, we describe a method for the reliable construction of bijective volumetric maps between solid objects, demonstrating the algorithm's utility. This mapping method overcomes restrictions of the state of the art to topological balls, extending coverage to objects of arbitrary genus, specifically so‐called\r\n                    <jats:italic>1</jats:italic>\r\n                    ‐handlebodies.\r\n                  </jats:p>","lang":"eng"}],"citation":{"bibtex":"@article{Hinderink_Campen_2026, title={DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping}, DOI={<a href=\"https://doi.org/10.1111/cgf.70379\">10.1111/cgf.70379</a>}, number={e70379}, journal={Computer Graphics Forum}, publisher={Wiley}, author={Hinderink, Steffen and Campen, Marcel}, year={2026} }","chicago":"Hinderink, Steffen, and Marcel Campen. “DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping.” <i>Computer Graphics Forum</i>, 2026. <a href=\"https://doi.org/10.1111/cgf.70379\">https://doi.org/10.1111/cgf.70379</a>.","ama":"Hinderink S, Campen M. DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping. <i>Computer Graphics Forum</i>. Published online 2026. doi:<a href=\"https://doi.org/10.1111/cgf.70379\">10.1111/cgf.70379</a>","short":"S. Hinderink, M. Campen, Computer Graphics Forum (2026).","ieee":"S. Hinderink and M. Campen, “DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping,” <i>Computer Graphics Forum</i>, Art. no. e70379, 2026, doi: <a href=\"https://doi.org/10.1111/cgf.70379\">10.1111/cgf.70379</a>.","apa":"Hinderink, S., &#38; Campen, M. (2026). DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping. <i>Computer Graphics Forum</i>, Article e70379. <a href=\"https://doi.org/10.1111/cgf.70379\">https://doi.org/10.1111/cgf.70379</a>","mla":"Hinderink, Steffen, and Marcel Campen. “DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping.” <i>Computer Graphics Forum</i>, e70379, Wiley, 2026, doi:<a href=\"https://doi.org/10.1111/cgf.70379\">10.1111/cgf.70379</a>."},"publication":"Computer Graphics Forum","department":[{"_id":"969"}],"type":"journal_article","date_created":"2026-05-05T08:15:52Z","date_updated":"2026-05-05T08:17:55Z","publication_status":"published","publication_identifier":{"issn":["0167-7055","1467-8659"]},"author":[{"full_name":"Hinderink, Steffen","first_name":"Steffen","last_name":"Hinderink","id":"116615"},{"first_name":"Marcel","orcid":"0000-0003-2340-3462","last_name":"Campen","full_name":"Campen, Marcel","id":"114904"}],"title":"DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping","status":"public","year":"2026","doi":"10.1111/cgf.70379","user_id":"117512","_id":"65554","publisher":"Wiley","language":[{"iso":"eng"}],"article_number":"e70379"},{"doi":"10.1145/3687950","language":[{"iso":"eng"}],"intvolume":"        43","date_updated":"2025-07-14T12:33:54Z","publication_status":"published","author":[{"id":"116615","full_name":"Hinderink, Steffen","last_name":"Hinderink","first_name":"Steffen"},{"full_name":"Brückler, Hendrik","first_name":"Hendrik","last_name":"Brückler","id":"115694"},{"full_name":"Campen, Marcel","last_name":"Campen","orcid":"0000-0003-2340-3462","first_name":"Marcel","id":"114904"}],"publication_identifier":{"issn":["0730-0301","1557-7368"]},"year":"2024","title":"Bijective Volumetric Mapping via Star Decomposition","department":[{"_id":"969"}],"type":"journal_article","date_created":"2025-06-23T09:09:51Z","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>"}],"extern":"1","issue":"6","publication":"ACM Transactions on Graphics","volume":43,"user_id":"117512","publisher":"Association for Computing Machinery (ACM)","_id":"60314","page":"1-11","status":"public","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>","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>.","short":"S. Hinderink, H. Brückler, M. Campen, ACM Transactions on Graphics 43 (2024) 1–11.","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>.","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>.","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>","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} }"}},{"department":[{"_id":"969"}],"type":"journal_article","date_created":"2025-06-23T10:38:02Z","abstract":[{"lang":"eng","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>"}],"extern":"1","publication":"ACM Transactions on Graphics","issue":"4","doi":"10.1145/3592410","language":[{"iso":"eng"}],"intvolume":"        42","date_updated":"2025-07-14T12:48:12Z","publication_status":"published","publication_identifier":{"issn":["0730-0301","1557-7368"]},"author":[{"id":"116615","last_name":"Hinderink","first_name":"Steffen","full_name":"Hinderink, Steffen"},{"full_name":"Campen, Marcel","first_name":"Marcel","orcid":"0000-0003-2340-3462","last_name":"Campen","id":"114904"}],"year":"2023","title":"Galaxy Maps: Localized Foliations for Bijective Volumetric Mapping","citation":{"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>.","short":"S. Hinderink, M. Campen, ACM Transactions on Graphics 42 (2023) 1–16.","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>.","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>","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} }","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>","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>."},"volume":42,"user_id":"117512","_id":"60335","publisher":"Association for Computing Machinery (ACM)","page":"1-16","status":"public"},{"citation":{"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>","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>.","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>.","short":"S. Hinderink, M. Mandad, M. Campen, Computer Aided Geometric Design 95 (2022).","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>","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} }"},"volume":95,"user_id":"117512","_id":"60365","publisher":"Elsevier BV","status":"public","department":[{"_id":"969"}],"type":"journal_article","date_created":"2025-06-25T08:50:14Z","extern":"1","publication":"Computer Aided Geometric Design","doi":"10.1016/j.cagd.2022.102085","language":[{"iso":"eng"}],"article_number":"102085","intvolume":"        95","publication_status":"published","date_updated":"2025-07-14T12:47:05Z","publication_identifier":{"issn":["0167-8396"]},"author":[{"id":"116615","full_name":"Hinderink, Steffen","last_name":"Hinderink","first_name":"Steffen"},{"last_name":"Mandad","first_name":"Manish","full_name":"Mandad, Manish"},{"id":"114904","orcid":"0000-0003-2340-3462","first_name":"Marcel","last_name":"Campen","full_name":"Campen, Marcel"}],"year":"2022","title":"Angle-bounded 2D mesh simplification"}]