• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊
论文

GPUBased Computation and an Implementation Method of Volume Illumination for UnstructuredGrid Data

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  • (School of Computer Science,National University of Defense Technology,Changsha 410073,China)

Received date: 2010-05-12

  Revised date: 2010-09-21

  Online published: 2011-01-25

Abstract

Gradient estimation is necessary for illumination effects which play an important role in volume rendering. Compared with the structured grids, it is difficult to estimate the vertex gradient for unstructured grids due to the complicated topology. Futhermore,realtime rendering can be hardly achieved due to the computation complexity of the resampled point gradient and the difficultity of implemention on GPUs. As a result, most of the unstructuredgrid volumes have not been lit. This paper presents a method to estimate the vertex gradient with high precision for unstructured grids. It employs the volumeweighted extrapolation and the inversedistance extrapolation to compute a vertex gradient using a group of cell gradients estimated by the Green theorem. Meanwhile, to compute the gradient at a resampled point, we present an efficient method based on the cell divergence which makes the cost much lower than the recent method of fulllinear interpolation。The realtime performance of our algorithm even for the relative large data sets can be achieved by its GPU implementaion with the aid of a welldesigned data structure.

Cite this article

MA Qianli,XU Huaxun,YUE Kai,LI Sikun . GPUBased Computation and an Implementation Method of Volume Illumination for UnstructuredGrid Data[J]. Computer Engineering & Science, 2011 , 33(1) : 82 -87 . DOI: 10.3969/j.issn.1007130X.2011.

References

[1]Popinski  T,Rezk C,Hadwiger  M,et al.GPUBased Volume RayCasting with Advanced Illumination[EB/OL]. [20090921]. http://vis.computer.org/visweek 2008/session.
[2]Correa  C D,Hero  R, Ma KL.A Comparison of Gradient Estimation for Volume Rendering on Unstructured Meshes[J]. IEEE Trans on Visualization and  Computer  Graphics,2009,9(4):98106.
[3]Ledergerber  C,Guennebaud  G,Meyer  M,et al.Volume Mls Ray Casting[J]. IEEE Trans on Visualization and  Computer Graphics, 2008,14(6):15391546.
[4]Mavriplis  J.Revisiting the LeastSquares Procedure for Gradient Reconstruction on Unstructured Meshes[C]∥ Proc of  AIAA Computational Fluid Dynamics Conf,2003:20033986.
[5]Cignoni  P,Montani  C,Scopigno  R.Tetrahedra Based Volume Visualization[M]∥Mathematical Visualization, 1998:318.
[6]Frink  N T.Upwind Scheme for Solving the Euler Equations on Unstructured Tetrahedral Meshes[J]. AIAA Journal,1992, 30(1):7077.
[7]Phong B T.Illumination for Computer Generated Pictures[J]. Communications of the ACM, 1975, 18(6):311317.
[8]Weiler  M,Kraus  M,Merz  M,et al.HardwareBased Ray Casting for Tetrahedral Meshes[C]∥ Proc  of IEEE Visualization,2003:333340.
[9]Rottger  S, Kraus  M,Ertl T.HardwareAccelerated Volume and Isosurface Rendering Based on CellProjection[C]∥Proc of IEEE Visualization,2000:109116.
[10]刘儒勋, 舒其望. 计算流体力学的若干新方法[M]. 北京: 科学出版社, 2003.
[11]Ma  Q,Xu H,Zeng  L,et al.Direct Raycasting of Unstructured CellCentered Data By Discontinuity RoeAverage Computation[J]. The Visual Computer, 2010,6(8):546558.
[12]Mitchell  C  R.Improved Reconstruction Schemes for the NavierStokes Equations on Unstructured Meshes[C]∥Proc of AIAA Aerospace Sciences Meeting and Exhibit,1994:940642.
[13]Schneider  P J,Eberly  D H.Geometric Tools for Computer Graphics[M]. Morgan Kaufmann, 2003:916.

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