基于投影网格算法的海面波浪模拟
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摘要
针对海面波浪模拟中实时性与渲染效果无法同时兼顾的难题,提出了一种基于投影网格多细节层次的低采样频率算法。先用投影网格算法对海面建模,生成一个海平面网格,同时在近视点处降低采样频率,解决网格过密所造成的海面网格走样问题;再采用快速傅里叶变换计算海面高度场,为海面添加波浪;最后结合纹理动画技术和Normal Mapping算法添加海面纹理,并分三次对纹理进行采样,来增强海面的水纹细节,建立了具有高真实感的动态海面波浪模型。实验表明,该方法减少了计算量,具有实时性;还模拟了海面的细微扰动,提升了算法渲染的逼真度。
For solving the problem that the real-time and rendering effects can not be realized in the same time in the sea wave simulation,a low sampling frequency algorithm based on a multi-level detail algorithm of the projection grid was proposed. Firstly,a sea-surface model was constructed by using the projection grid algorithmto generate the sea-surface grid. Simultaneously,the grid aliasing of the sea-surface caused by over-density gridwas solved by reducing the sampling frequency at near viewpoint. Then,the fast Fourier transform algorithm wasadopted to calculate the sea-surface height field so as to add waves. Finally,the texture animation technologyand normal mapping algorithm were combined to add texture of sea-surface. In addition,the texture wassampled three times to enhance the slight detail of the sea-surface. A dynamic sea-surface wave model with ahigh realism was presented. The experiments showed that the proposed method reduced the computationalcomplexity,and satisfied the real-time demand. It also simulated the slight disturbance of the sea-surface,hereby improving the fidelity of the rendering.
For solving the problem that the real-time and rendering effects can not be realized in the same time in the sea wave simulation,a low sampling frequency algorithm based on a multi-level detail algorithm of the projection grid was proposed. Firstly,a sea-surface model was constructed by using the projection grid algorithmto generate the sea-surface grid. Simultaneously,the grid aliasing of the sea-surface caused by over-density gridwas solved by reducing the sampling frequency at near viewpoint. Then,the fast Fourier transform algorithm wasadopted to calculate the sea-surface height field so as to add waves. Finally,the texture animation technologyand normal mapping algorithm were combined to add texture of sea-surface. In addition,the texture wassampled three times to enhance the slight detail of the sea-surface. A dynamic sea-surface wave model with ahigh realism was presented. The experiments showed that the proposed method reduced the computationalcomplexity,and satisfied the real-time demand. It also simulated the slight disturbance of the sea-surface,hereby improving the fidelity of the rendering.
引文
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[12]陈祥望,郑松,和睿,等.基于图像的水波动画和实时绘制[J].云南大学学报,2013,35(增刊2):18-22.
[13]温东阳,察豪,孟路稳.随机粗糙海面的建模与仿真[J].四川工兵学报,2015,36(1):145-147.
[14]刘让国,刘晓杰,杨石兴.基于Triton的海洋仿真系统的设计与实现[J].计算机与网络,2017,43(2):97-98.
[15]付帅,艾波,柳诚.海洋地理信息系统中动态海面仿真方法研究[J].海洋信息,2017,17(1):1-4.
[16]魏碧云,孔样红,李晖.基于粒子系统的3D动态火焰模拟[J].武汉工程大学学报,2018,40(1):87-92.
[17] KIM Y. Rendering speeds of dynamic and static objects with tangent space normal mapping on 3D games[J]. Journal of Theoretical&Applied Information Technology,2017,95(17):4165-4172.
[2]王强.三维海面可视化仿真技术研究与实现[J].信息通讯,2015,156(12):40-41.
[3]王艳芬,郭栋梁,聂俊岚,等.一种优化的投影网格海面实时绘制方法[J].小型微型计算机系统,2014,35(7):1647-1650.
[4]顾大权,邱滨,侯太平,等.基于投影网格上的Phillips谱真实感海浪仿真模拟[J].解放军理工大学学报,2014,15(5):488-493.
[5] FOURNIER A,REEVES W T. A Simple model of ocean waves[J]. Conference on Computer Graphics&Interactive Techniques,1986,20(4):75-84.
[6] TESSENDORF J.Simulating ocean water[J]. Simulating Nature Realistic&Interactive Techniques Siggraph,2001,2(4):122-148.
[7]熊艳飞,石志广,郭建,等.基于海浪谱模型和FFT的海面建模[J].重庆理工大学学报,2014,28(4):77-82.
[8] KASS M,MILLER G.Rapid,stable fluid dynamics for computer graphics[J]. Acm Siggraph Computer Graphics,1990,24(4):49-57.
[9] PEACHEY D R. Modeling waves and surfaces[J].Computer Graphics,1986,20(4):65-74.
[10]陈丽宁,金一丞,任鸿翔,等.使用波数谱绘制海浪波幅畸变的校正[J].计算机辅助设计与图形学学报,2015,27(9):1617-1624.
[11]庄建东,曾勇进.三维海浪造型的研究[J].集美大学学报,2013,22(10):143-146.
[12]陈祥望,郑松,和睿,等.基于图像的水波动画和实时绘制[J].云南大学学报,2013,35(增刊2):18-22.
[13]温东阳,察豪,孟路稳.随机粗糙海面的建模与仿真[J].四川工兵学报,2015,36(1):145-147.
[14]刘让国,刘晓杰,杨石兴.基于Triton的海洋仿真系统的设计与实现[J].计算机与网络,2017,43(2):97-98.
[15]付帅,艾波,柳诚.海洋地理信息系统中动态海面仿真方法研究[J].海洋信息,2017,17(1):1-4.
[16]魏碧云,孔样红,李晖.基于粒子系统的3D动态火焰模拟[J].武汉工程大学学报,2018,40(1):87-92.
[17] KIM Y. Rendering speeds of dynamic and static objects with tangent space normal mapping on 3D games[J]. Journal of Theoretical&Applied Information Technology,2017,95(17):4165-4172.