Multi-scale space-variant FRep cellular structures

Article English OPEN
Fryazinov, Oleg; Vilbrandt, Turlif; Pasko, Alexander;

Existing mesh and voxel based modeling methods encounter difficulties when dealing with objects containing cellular structures\ud on several scale levels and varying their parameters in space. We describe an alternative approach based on using real functions evaluated p... View more
  • References (16)
    16 references, page 1 of 2

    [1] Y. Wang, Periodic surface modeling for computer aided nano design, Computer-Aided Design 39 (2007) 179-189.

    [2] A. Pasko, T. Vilbrandt, O. Fryazinov, V. Adzhiev, Procedural functionbased spatial microstructures, in: Proceedings of the 2010 Shape Modeling International Conference, SMI '10, IEEE Computer Society, 2010, pp. 47-56.

    [3] M. W. Naing, C. K. Chua, K. F. Leong, Y. Wang, Fabrication of customised scaffolds using computer-aided design and rapid prototyping techniques, Rapid Prototyping Journal 11 (2005) 249-259.

    [4] W. Sun, B. Starly, J. Nam, A. Darling, Bio-cad modeling and its applications in computer-aided tissue engineering, Computer-Aided Design 37 (2005) 1097-1114.

    [5] C. Schroeder, W. C. Regli, A. Shokoufandeh, W. Sun, Computer-aided design of porous artifacts, Computer-Aided Design 37 (2005) 339-353.

    [6] N. Stolte, Infinite implicit replication: Case study for voxelizing and representing cyclical parametric surfaces implicitly, in: Proceedings of the Shape Modeling International 2002 (SMI'02), IEEE Computer Society, 2002, pp. 105-110.

    [7] A. Pasko, V. Adzhiev, A. Sourin, V. Savchenko, Function representation in geometric modeling: concepts, implementation and applications., The Visual Computer 11 (1995) 429-446.

    [8] E. W. Weisstein, Sawtooth wave, MathWorld-A Wolfram Web Resource, 2010.

    [9] E. W. Weisstein, Triangle wave, MathWorld-A Wolfram Web Resource, 2010.

    [10] V. L. Rvachev, T. I. Sheiko, V. Shapiro, I. Tsukanov, Transfinite interpolation over implicity defined sets, Computer Aided Geometric Design 18 (2001) 195-220.

  • Metrics
Share - Bookmark