Exploded view diagrams of mathematical surfaces

Handle URI:
http://hdl.handle.net/10754/575674
Title:
Exploded view diagrams of mathematical surfaces
Authors:
Karpenko, Olga A.; Li, Wilmot; Mitra, Niloy J. ( 0000-0002-2597-0914 ) ; Agrawala, Maneesh
Abstract:
We present a technique for visualizing complicated mathematical surfaces that is inspired by hand-designed topological illustrations. Our approach generates exploded views that expose the internal structure of such a surface by partitioning it into parallel slices, which are separated from each other along a single linear explosion axis. Our contributions include a set of simple, prescriptive design rules for choosing an explosion axis and placing cutting planes, as well as automatic algorithms for applying these rules. First we analyze the input shape to select the explosion axis based on the detected rotational and reflective symmetries of the input model. We then partition the shape into slices that are designed to help viewers better understand how the shape of the surface and its cross-sections vary along the explosion axis. Our algorithms work directly on triangle meshes, and do not depend on any specific parameterization of the surface. We generate exploded views for a variety of mathematical surfaces using our system. © 2006 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Visualization and Computer Graphics
Issue Date:
Nov-2010
DOI:
10.1109/TVCG.2010.151
Type:
Article
ISSN:
10772626
Sponsors:
This work was partially supported by NSF grant CCF-0643552. Olga Karpenko's research was funded by AAUW postdoctoral fellowship. Niloy Mitra was partially supported by a Microsoft outstanding young faculty scholarship.
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKarpenko, Olga A.en
dc.contributor.authorLi, Wilmoten
dc.contributor.authorMitra, Niloy J.en
dc.contributor.authorAgrawala, Maneeshen
dc.date.accessioned2015-08-24T08:35:36Zen
dc.date.available2015-08-24T08:35:36Zen
dc.date.issued2010-11en
dc.identifier.issn10772626en
dc.identifier.doi10.1109/TVCG.2010.151en
dc.identifier.urihttp://hdl.handle.net/10754/575674en
dc.description.abstractWe present a technique for visualizing complicated mathematical surfaces that is inspired by hand-designed topological illustrations. Our approach generates exploded views that expose the internal structure of such a surface by partitioning it into parallel slices, which are separated from each other along a single linear explosion axis. Our contributions include a set of simple, prescriptive design rules for choosing an explosion axis and placing cutting planes, as well as automatic algorithms for applying these rules. First we analyze the input shape to select the explosion axis based on the detected rotational and reflective symmetries of the input model. We then partition the shape into slices that are designed to help viewers better understand how the shape of the surface and its cross-sections vary along the explosion axis. Our algorithms work directly on triangle meshes, and do not depend on any specific parameterization of the surface. We generate exploded views for a variety of mathematical surfaces using our system. © 2006 IEEE.en
dc.description.sponsorshipThis work was partially supported by NSF grant CCF-0643552. Olga Karpenko's research was funded by AAUW postdoctoral fellowship. Niloy Mitra was partially supported by a Microsoft outstanding young faculty scholarship.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectexploded view diagramsen
dc.subjectmathematical visualizationen
dc.subjectsymmetryen
dc.titleExploded view diagrams of mathematical surfacesen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalIEEE Transactions on Visualization and Computer Graphicsen
dc.contributor.institutionUC Berkeley, United Statesen
dc.contributor.institutionAdobe Systems, United Statesen
kaust.authorMitra, Niloy J.en
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