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dc.contributor.authorSolomon, Justin
dc.contributor.authorVaxman, Amir
dc.contributor.authorBommes, David
dc.date.accessioned2022-07-12T15:34:49Z
dc.date.available2021-10-27T20:29:11Z
dc.date.available2022-07-12T15:34:49Z
dc.date.issued2017
dc.identifier.urihttps://hdl.handle.net/1721.1/135765.2
dc.description.abstract© 2017 ACM. Octahedral fields, boundary element method, frames, singularity graph The computation of smooth fields of orthogonal directions within a volume is a critical step in hexahedral mesh generation, used to guide placement of edges and singularities. While this problem shares high-level structure with surface-based frame field problems, critical aspects are lost when extending to volumes, while new structure from the flat Euclidean metric emerges. Taking these considerations into account, this article presents an algorithm for computing such "octahedral" fields. Unlike existing approaches, our formulation achieves infinite resolution in the interior of the volume via the boundary element method (BEM), continuously assigning frames to points in the interior from only a triangle mesh discretization of the boundary. The end result is an orthogonal direction field that can be sampled anywhere inside the mesh, with smooth variation and singular structure in the interior, even with a coarse boundary.We illustrate our computed frames on a number of challenging test geometries. Since the octahedral frame field problem is relatively new, we also contribute a thorough discussion of theoretical and practical challenges unique to this problem.en_US
dc.language.isoen
dc.publisherAssociation for Computing Machinery (ACM)en_US
dc.relation.isversionof10.1145/3065254en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceMIT web domainen_US
dc.titleBoundary Element Octahedral Fields in Volumesen_US
dc.typeArticleen_US
dc.contributor.departmentMassachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratoryen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Scienceen_US
dc.relation.journalACM Transactions on Graphicsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2019-07-10T11:55:30Z
dspace.orderedauthorsSolomon, J; Vaxman, A; Bommes, Den_US
dspace.date.submission2019-07-10T11:55:33Z
mit.journal.volume36en_US
mit.journal.issue3en_US
mit.metadata.statusPublication Information Neededen_US


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