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Synthesis of Ocean Wave Models and Simulation Using GPU

바다물결 모형의 합성 및 GPU를 이용한 시뮬레이션

  • Published : 2007.12.31

Abstract

Among many other CG generated natural scenes, the representation of ocean surfaces is one of the most complicated and time-consuming problem because of its large extent and complex surface movement. We present a hybrid method to represent and animate unbound deep-water ocean surfaces by utilizing graphics processor as both simulation and rendering core. Our technique is mainly based on spectral approaches that generate a high-detailed height field using Fourier transform on a 2D regular grid. Additionally, we incorporate Gerstner model and generate low-detailed height field on a 2D projected grid in order to represent large waves and main structure of ocean surface. There is no interruption between CPU and GPU, and no need to transfer simulation results from the system memory to graphics hardware because the entire simulation and rending processes are done on graphics processor. As a result we can synthesize and render realistic water surfaces in real-time. Proposed techniques are readily adoptable to real-time applications such as computer games that have heavy work load on CPU but still demand plausible natural scenes.

컴퓨터 그래픽스로 재현되는 많은 자연현상 중의 하나인 바다는 주변 환경에 의해 계속해서 움직이며 복잡한 형태를 나타낼 뿐만 아니라 그 규모가 거대하기 때문에 만족스러운 영상을 얻기 위해서는 많은 계산시간을 필요로 한다. 본 논문에서는 GPU를 연산유닛으로 활용하여 무한히 넓은 바다표면의 움직임을 실시간으로 빠르게 시뮬레이션하고 사실적으로 렌더링하기 위한 방법을 제안한다. 제안하는 방법은 Gerstner 모델에 의해 2차원 투사 격자에서 생성된 저해상도의 메쉬로 바다의 전체적인 구조와 큰 물결을 표현하고, 스펙트럼 모델에 의해 2차원 균일격자에서 생성된 높이 맵과 법선 맵을 사용하여 작은 물결과 자세한 수면의 모습을 표현한다. 전체 과정이 GPU에 의해 처리되기 때문에 CPU자원을 다른 연산에 양보할 수 있을 뿐만 아니라 시스템 메모리와 그래픽스 하드웨어 사이에 기하정보(geometry data)의 이동이 없어 보다 빠른 렌더링이 가능하다. 제안하는 방법은 컴퓨터 게임과 같이 계산량이 많고 빠른 처리가 요구되는 실시간 애플리케이션에 활용 가능성이 크다.

Keywords

References

  1. Jos Stam, 'Stable Fluids,' Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques, pp 121-128, 1999
  2. Nick Foster and Ronald Fedkiw, 'Practical Animation of Lquids,' Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques, pp 23-30, 2001
  3. Mark J. Harris, William V. Baxter III, Thorsten Scheuermann, Anselmo Lastra., 'Simulation of Cloud Dynamics on Graphics Hardware,' Proceedings of Graphics Hardware 2003
  4. Alain Fournier and William T. Reeves, 'A Simple Model of Ocean Waves,' Computer Graphics, Vol. 20, No. 4, 1986, pp 75-84 https://doi.org/10.1145/15886.15894
  5. Sebastien Thon, Jean-Michel Dischler and Djamchid Ghazanfarpour 'Ocean Waves Synthesis Using a Spectrum-Based Turbulence Function,' Proceedings of the International Conference on Computer Graphics, 2000
  6. Ken Perlin, 'An Image Synthesizer,' SIGGRAPH, 1985
  7. Damien Hinsinger, Fabrice Neyret and Marie- PauleCani, 'Interactive Animation of Ocean Waves,' Proceedings of the 2002 ACM SIGGRAPH/ Eurographics Symposium on Computer Animation, 2002
  8. Gary A. Mastin, Peter A. Watterger, and John F. Mareda, 'Fourier Synthesis of Ocean Scenes,' IEEE Computer Graphics and Applications, pp 16-23, March 1987
  9. Jerry Tessendorf, 'Simulating Ocean Water,' In SIGGRAPH Course Notes, Addison-Wesley, 1999
  10. Lasse Staff Jensen and Robert Golias, 'Deep-Water Animation and Rendering,' Game Developers Conference Europe, 2001
  11. Stefano Lanza, 'Animation and Display of Water,' in Shader X3: Advanced Rendering with DirectX and OpenGL, Charles River Media, 2004
  12. Jason L. Mitchell, 'Real-Time Synthesis and Rendering of Ocean Water,' ATI Research Technical Report, 2005
  13. Sumanaweera T. et al. 'Medical Image Reconstruction with the FFT,' GPU GEMS 2, Addison-Wesley, 2005
  14. Claes Johanson, 'Real-time Water Rendering,' Master of Science Thesis in Computer Graphics, March 2004
  15. Jeremy Zelsnack, 'Vertex Texture Fetch Water,' NVIDIA SDK, 2004
  16. FFTW library,' http://www.fftw.org/
  17. GPUbench,' http://graphics.stanford.edu/projects/ ]gpubench/'