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Topological manipulation of isosurfaces
Publisher:
  • The University of British Columbia (Canada)
ISBN:978-0-612-90156-8
Order Number:AAINQ90156
Pages:
224
Bibliometrics
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Abstract

In this thesis, I show how to use the topological information encoded manipulation of individual contour surfaces in an isosurface scene, using an interface called the flexible isosurface. Underpinning this interface are several improvements and extensions to existing work on the contour tree. The first, and most critical, extension, is the path seed: a new method of generating seeds from the contour tree for isosurface extraction. The second extension is to compute geometric information called local spatial measures for contours and store this information in the contour tree. The third extension is to use local spatial measures to simplify both the contour tree and isosurface displays. This simplification can also be used for noise removal. Lastly, this thesis extends work with contour trees from simplicial meshes to arbitrary meshes, interpolants, and tessellation cases.

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  6. Arge L and Revsbæk M I/O-Efficient Contour Tree Simplification Proceedings of the 20th International Symposium on Algorithms and Computation, (1155-1165)
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    Biasotti S, De Floriani L, Falcidieno B, Frosini P, Giorgi D, Landi C, Papaleo L and Spagnuolo M (2008). Describing shapes by geometrical-topological properties of real functions, ACM Computing Surveys (CSUR), 40:4, (1-87), Online publication date: 1-Oct-2008.
  8. Biasotti S, Giorgi D, Spagnuolo M and Falcidieno B (2008). Reeb graphs for shape analysis and applications, Theoretical Computer Science, 392:1-3, (5-22), Online publication date: 20-Feb-2008.
  9. Weber G, Dillard S, Carr H, Pascucci V and Hamann B (2007). Topology-Controlled Volume Rendering, IEEE Transactions on Visualization and Computer Graphics, 13:2, (330-341), Online publication date: 1-Mar-2007.
  10. Weber G, Bremer P and Pascucci V (2007). Topological Landscapes, IEEE Transactions on Visualization and Computer Graphics, 13:6, (1416-1423), Online publication date: 1-Nov-2007.
  11. Dillard S, Natarajan V, Weber G, Pascucci V and Hamann B Tessellation of quadratic elements Proceedings of the 17th international conference on Algorithms and Computation, (722-731)
  12. Mizuta S and Matsuda T Description of digital images by region-based contour trees Proceedings of the Second international conference on Image Analysis and Recognition, (549-558)
  13. Carr H, Snoeyink J and van de Panne M Simplifying Flexible Isosurfaces Using Local Geometric Measures Proceedings of the conference on Visualization '04, (497-504)
Contributors
  • The University of British Columbia
  • University of Leeds

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