粒子法

代表的な粒子法†

Smoothed Particle Hydrodynamics. 圧縮流体向き．

Moving Particle Semi-implicit method. 非圧縮流体向き．

Distinct Element Method or Discrete Element Method. 日本語では個別要素法．

(1) M. Muller, D. Charypar and M. Gross, Particle-based Fluid Simulation for Interactive Applications, Proc. SCA2003, pp.154-159, 2003.
(2) Y. Zhu and R. Bridson, Animating sand as a fluid, Proc. SIGGRAPH 2005, pp.965-971, 2005.
(3) B. Adams, M. Pauly, R. Keiser and L. J. Guibas, Adaptively sampled particle fluids, Proc. SIGGRAPH2007, 48, 2007.
(4) J. Yu and G. Turk, Reconstructing Surfaces of Particle-Based Fluids Using Anisotropic Kernels, In Proceedings of the 2010 ACM SIGGRAPH/Eurographics symposium on Computer animation, 2010.
(5) B. Solenthaler, Y. Zhang and R. Pajarola, Efficient Refinement of Dynamic Point Data, Proc. Eurographics/IEEE VGTC Symposium on Point-Based Graphics, 2007.
(6) W. E. Lorensen and H. E. Cline, Marching cubes: a high resolution 3D surface construction algorithm, Computer Graphics (Proc. SIGGRAPH '87), 21, 163-169, 1987.
(7) G. M. Treece, R. W. Prager and A. H. Gee, Regularised marching tetrahedra: improved isosurface extraction, Computers and Graphics, 23, pp.583-598, 1999.
(8) M. Muller, S. Schirm and S. Duthaler, Screen space meshes, Proc. SCA2007, pp.9-15, 2007.
(9) W. J. van der Laan, S. Green and M. Sainz, Screen space fluid rendering with curvature flow, Proc. 2009 symposium on Interactive 3D graphics and games, pp.91-98, 2009.

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代表的な粒子法†

SPH†

MPS†

DEM†

表面生成手法†

表面陰関数†

メッシュ生成†