Realistic simulation of mixed sea using multiple spectrum-based wave systems

The sea has a very wide, irregular, and continuously changing surface and is usually a mixed sea composed of several wave systems. Each wave system is generated from different locations and conditions and has its own characteristics. The Fourier domain approach using sea wave spectra is an effective technique for the realistic simulation of sea surfaces in real time, but the conventional Fourier domain approach cannot independently simulate the characteristics of each wave system. In this paper, we propose a realistic and real-time simulation method of the mixed sea using multiple spectrum-based wave systems for maritime simulators. We recognize the importance of the visual and physical contributions of each wave system and faithfully reproduce all wave systems in the mixed sea. In order to simulate the mixed sea, our method generates and combines multiple spectrum-based wave systems using adaptive spectral sampling of the separated spectrum of the multi-peaked spectrum. The unique characteristics of each wave system can be set independently through spectral parameters, sampling number and range, wave direction and spread, and the shape factor of waves. The proposed method also supports the smooth transition between sea states, such as wind sea, swell, and mixed sea. Through the experiments, we verify that the proposed method effectively reflects sea wave spectra and the reproduced sea has very similar statistical characteristics to the actual sea. Experimental results also show that our approach can simulate the mixed sea, which has high-frequency wind sea and low-frequency swell.

[1]  J. Francis.  Tides and Waves , 1969, Nature.

[2]  Gary Mastin,et al.  Fourier Synthesis of Ocean Scenes , 1987, IEEE Computer Graphics and Applications.

[3]  Jean-Michel Dischler,et al.  Ocean waves synthesis using a spectrum-based turbulence function , 2000, Proceedings Computer Graphics International 2000.

[4]  K. Torsethaugen,et al.  A TWO PEAK WAVE SPECTRUM MODEL , 1993 .

[5]  Theodore Kim,et al.  Dispersion kernels for water wave simulation , 2016, ACM Trans. Graph..

[6]  Alain Fournier,et al.  A simple model of ocean waves , 1986, SIGGRAPH.

[7]  合田 良実,et al.  Random seas and design of maritime structures , 1985 .

[8]  Carlos Guedes Soares,et al.  Ring Discretization of the Wave Spectrum for Sea Surface Simulation , 2014, IEEE Computer Graphics and Applications.

[9]  J. Tessendorf.  Simulating Ocean Water , 2004 .

[10]  Dirk V. Arnold,et al.  Multi-Band Fourier Synthesis of Ocean Waves , 2012, J. Graph. Tools.

[11]  E. B. Wilson.  The Theory of Waves , 1904 .

[12]  Jocelyn Fréchot,et al.  Realistic simulation of ocean surface using wave spectra , 2006, GRAPP.

[13]  T. Barnett,et al.  Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP) , 1973 .

[14]  Marie-Paule Cani,et al.  Interactive animation of ocean waves , 2002, SCA '02.

[15]  Jason L. Mitchell.  Real-Time Synthesis and Rendering of Ocean Water , 2005 .

[16]  Faramarz F. Samavati,et al.  Real-time multi-band synthesis of ocean water with new iterative up-sampling technique , 2009, The Visual Computer.

[17]  Matthias Müller,et al.  Position based dynamics , 2007, J. Vis. Commun. Image Represent..

[18]  H. Mitsuyasu,et al.  Directional Spectra on Ocean Surface Waves , 1977 .

[19]  Fukuzo Tasai,et al.  Observations of the Directional Spectrum of Ocean WavesUsing a Cloverleaf Buoy , 1975 .

[20]  FournierAlain,et al.  A simple model of ocean waves , 1986 .

[21]  Stefan Jeschke,et al.  Water wave packets , 2017, ACM Trans. Graph..

[22]  W. Pierson,et al.  ON THE MOTIONS OF SHIPS IN CONFUSED SEAS , 1953 .

[23]  E. Nadine Hubble,et al.  Six-Parameter Wave Spectra , 1976 .

[24]  Sébastien Thon,et al.  Ocean waves synthesis and animation using real world information , 2002, Comput. Graph..

[25]  Christopher J. Horvath,et al.  Empirical directional wave spectra for computer graphics , 2015, DigiPro.

[26]  M. Perlin,et al.  Frequency spectra evolution of two-dimensional focusing wave groups in finite depth water , 2011, Journal of Fluid Mechanics.

[27]  Kevin Ewans,et al.  West Africa Swell Spectral Shapes , 2013 .

[28]  Djamchid Ghazanfarpour,et al.  A Survey of Ocean Simulation and Rendering Techniques in Computer Graphics , 2011, Comput. Graph. Forum.

[30]  Tae-Yong Kim,et al.  Unified particle physics for real-time applications , 2014, ACM Trans. Graph..