Real-time water wave simulation algorithm by polynomial function

Zhi-qiang WANG; Hai-bo MA

doi:10.3788/OPE.20172504.1112

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Real-time water wave simulation algorithm by polynomial function

Information Sciences | 更新时间：2020-07-07

- Real-time water wave simulation algorithm by polynomial function
- Optics and Precision Engineering Vol. 25, Issue 4, Pages: 1112-1117(2017)
- 作者机构：
  
  深圳大学计算机与软件学院, 广东深圳 518060
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20172504.1112
  CLC： TH703
- Received：09 December 2016，
  
  Accepted：04 January 2017，
  
  Published：25 April 2017
- 稿件说明：
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Zhi-qiang WANG, Hai-bo MA. Real-time water wave simulation algorithm by polynomial function[J]. Optics and precision engineering, 2017, 25(4): 1112-1117.
DOI：

Zhi-qiang WANG, Hai-bo MA. Real-time water wave simulation algorithm by polynomial function[J]. Optics and precision engineering, 2017, 25(4): 1112-1117. DOI： 10.3788/OPE.20172504.1112.

摘要

本文通过分析三角函数的泰勒展开式，提出了一种利用多项式函数优化三角函数的计算方法，用于改善虚拟系统中水波模拟的实时性。本算法中，通过引入多种控制波形的参数，实现了水波波形的多样性。在此基础上，还提出了一种计算表面法向量的方法，以便更好地与周围环境及光线进行交互。选用自然水波图像作为参考，并与当前典型算法Gerstner和FFT算法进行性能对比。实验结果表明，本文算法能生成丰富、自然的水波运动，且一定程度上减少了水波模拟过程中的计算量（约13%），适用于实时性要求较高的系统。

Abstract

Through analyzing the Taylor expansion in trigonometric function

a calculation scheme by using polynomial function was proposed to optimize the Taylor expansion in trigonometric function. By doing that

the real-time performance of water wave simulation in virtual system was improved. Otherwise

the diversity of water wave was obtained through introducing various control parameters in polynomial function. Meanwhile

the surface normal vector calculation method was applied to achieve better results in light interaction between water surface and surrounding environment. The experimental on natural water wave indicates that the water wave movement generated by proposed algorithm is natural and diversification. It also can reduce the computational complexity in some degree (about 13%)

which was more suitable for virtual scenes with high real-time requirement.

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references

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