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深圳大学 计算机与软件学院, 广东 深圳 518060
王志强 (1963-), 男, 江西南昌人, 教授, 1991年于湖北工学院获得硕士学位, 现为深圳大学计算机与软件学院副院长, 主要从事多媒体信息处理、计算机教育等方面的研究。E-mail:wangzq@szu.edu.cn WANG Zhi-qiang, E-mail:wangzq@szu.edu.cn
[ "马海波 (1989-), 男, 湖北荆州人, 硕士研究生, 2013年于长江大学获得学士学位, 主要从事计算机图形学方向的研究。E-mail:mahaibo_2013@163.com" ]
收稿日期:2016-12-09,
录用日期:2017-1-4,
纸质出版日期:2017-04-25
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王志强, 马海波. 多项式函数的实时水波模拟算法[J]. 光学 精密工程, 2017,25(4):1112-1117.
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.
王志强, 马海波. 多项式函数的实时水波模拟算法[J]. 光学 精密工程, 2017,25(4):1112-1117. DOI: 10.3788/OPE.20172504.1112.
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.
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。
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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