Abstract
In this paper we introduce the Discretized Polyhedra Simplification (DPS), a framework for polyhedra simplification using space decomposition models. The DPS is based on a new error measurement and provides a sound scheme for error-bounded, geometry and topology simplification while preserving the validity of the model. A method following this framework, Direct DPS, is presented and discussed. Direct DPS uses an octree for topology simplification and error control, and generates valid solid representations. Our method is also able to generate approximations which do not interpenetrate the original model, either being completely contained in the input solid or bounding it. Unlike most of the current methods, restricted to triangle meshes, our algorithm can deal and also produces faces with arbitrary complexity.
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References
C. Andnjar, D. Ayala, P. Brunet, R. Joan, and J. Solé. Automatic generation of multiresolution boundary representations. Computer Graphics Forum, 1996.
Carlos Andnjar. The discretized polyhedra simplification: A framework for polyhedra simplification based on decomposition schemes. Technical report, Universitat Politecnica de Catalunya, LSI-98-XR, 1998.
Taosong He at al. Controlled topology simplification. IEEE Transactions on Visualization and Computer Graphics, 2 (2): 171–184, 1996.
D. Ayala, C. Andtúar, and P. Brunet. Automatic simplification of orthogonal polyhedra. In D.W. Fellner, editor, Modelling Virtual Worlds Distribuited Graphics, pages 137–147. Internationallen Workshop MVD’95, Infix, 1995.
P. Brunet, R. Juan, Isabel Navazo, J. Sole, and D. Tost. Scientific Visualization. Advances and challenges. Academic Press, 1988.
T.A. Funkhouserand C.H. Sequin. Adaptive display algorithm for interactive frame rates during visualization of complex virtual environments. In Proc. SIGGRAPH,pages 247–254, 1993. Computer Graphics Proceedings, Annual Conference Series.
H. Hoppe. Progressive meshes. Computer Graphics, 30 (Annual Conference Series): 99–108, 1996.
William Lorensen and Harvey Cline. Marching cubes: A high resolution 3d surface construction algorithm. In Proc. SIGGRAPH,pages 44–50, 1987. Computer Graphics vol. 21 no. 4.
N. Megiddo. Linear-time algorithms for linear programming in 3d and related problems. Siam J. Computer, 12 (4): 759–776, 1983.
C. Montani, R. Scateni, and R. Scopigno. Discretized marching cubes. In Visualization’94, pages 281–287. IEEE Computer Society Press, 1994.
Isabel Navazo. Contribucio a les tecniques de modelat geometric d’objectes polimerics usant la codificacio amb arbres octals (written in Catalan). PhD thesis, Universitat Politecnica de Catalunya, 1986.
J. Rossignac and P. Borrel. Multiresolution 3D aproximations for rendering complex scenes. In Modeling in Computer Graphics. Springer-Verlag, 1993.
W. J. Schroeder, J. A. Zarge, and W. E. Lorensen. Decimation of triangle meshes. In Proc. SIGGRAPH,pages 65–70, 1992. Computer Graphics vol. 26 no. 2.
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Andújar, C., Ayala, D., Brunet, P. (1999). Validity-Preserving Simplification of Very Complex Polyhedral Solids. In: Gervautz, M., Schmalstieg, D., Hildebrand, A. (eds) Virtual Environments ’99. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6805-9_1
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DOI: https://doi.org/10.1007/978-3-7091-6805-9_1
Publisher Name: Springer, Vienna
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