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Graph."],"published-print":{"date-parts":[[2024,12,19]]},"abstract":"<jats:p>\n            Space deformations deform the ambient space and thus implicitly deform the embedded objects. Free-Form Deformation allows high-order deformation to the embedding space, yet the lattice may fail to conform to the object and involves many internal control points. Cage-based Deformation utilizes a cage space that conforms to the object, obviating the need for additional internal control points, but it is typically linear at edges. In this paper, we propose a simple and general method with both advantages while avoiding their drawbacks, allowing users to implement high-order cage-based deformation. To achieve this goal, we introduce a new parametric transfinite interpolation scheme based on generalized barycentric coordinates, which unifies and generalizes the rectangular and triangular Coons patch. This\n            <jats:italic>C<\/jats:italic>\n            <jats:sup>0<\/jats:sup>\n            Generalized Coons patch can be defined not only over 2D domains but also 3D domains or even higher-dimensional domains, with arbitrary polytopes, even including non-manifold topologies. Moreover, the\n            <jats:italic>C<\/jats:italic>\n            <jats:sup>0<\/jats:sup>\n            Generalized Coons patch has an elegant mathematical expression.\n          <\/jats:p>","DOI":"10.1145\/3687972","type":"journal-article","created":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T15:46:04Z","timestamp":1732031164000},"page":"1-15","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["C^0 Generalized Coons Patches for High-order Cage-based Deformation"],"prefix":"10.1145","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-7421-4422","authenticated-orcid":false,"given":"Kaikai","family":"Qin","sequence":"first","affiliation":[{"name":"School of Science, Hangzhou Dianzi University, Hangzhou, China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0001-6363-4065","authenticated-orcid":false,"given":"Yunhao","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Science, Hangzhou Dianzi University, Hangzhou, China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-2501-1785","authenticated-orcid":false,"given":"Chenhao","family":"Ying","sequence":"additional","affiliation":[{"name":"School of Science, Hangzhou Dianzi University, Hangzhou, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4020-7463","authenticated-orcid":false,"given":"Yajuan","family":"Li","sequence":"additional","affiliation":[{"name":"School of Science, Hangzhou Dianzi University, Hangzhou, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8725-4622","authenticated-orcid":false,"given":"Chongyang","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Science, Hangzhou Dianzi University, Hangzhou, China"}]}],"member":"320","published-online":{"date-parts":[[2024,11,19]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-12-587260-7.50008-X"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","unstructured":"M. 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