Fourier Synthesis of Ocean Scenes

Mastin, Gary A.; Watterberg, P.A.; Mareda, John F.

doi:10.1109/mcg.1987.276961

Cited by 176 publications

(93 citation statements)

References 12 publications

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“…Large-scale, deep-water simulations appropriate for oceans or lakes, which is our focus here, usually avoid full-scale, 3D Navier-Stokes solutions and instead employ 2D spectral approaches to simulate displacement of the free surface. Mastin et al [11] was probably the first. In this case weights in frequency space are obtained by sampling from models fitted to observed spectra, e.g., Hasselmann et al [12], and then applying a fast Fourier transform to construct the height field.…”

Section: Related Workmentioning

confidence: 99%

Lattice-Boltzmann Water Waves

Geist

Corsi

Tessendorf

et al. 2010

Advances in Visual Computing

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Abstract.A model for real-time generation of deep-water waves is suggested. It is based on a lattice-Boltzmann (LB) technique. Computation of wave dynamics and (ray-traced) rendering for a lattice of size 1024 2 can be carried out simultaneously on a single graphics card at 25 frames per second. In addition to the computational speed, the LB technique is seen to offer a simple and physically accurate method for handling both dispersion and wave reflection from obstructing objects.

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Section: Related Workmentioning

confidence: 99%

Lattice-Boltzmann Water Waves

Geist

Corsi

Tessendorf

et al. 2010

Advances in Visual Computing

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“…Another method for computing equation 4 is the 2D inverse discrete Fourier transform, used by (Mastin et al, 1987), (Premože and Ashikhmin, 2001) and (Tessendorf, 2001). The set of N × M complex numbers F n,m is transformed into a set of complex numbers f p,q by…”

Section: Inverse Fourier Transformmentioning

confidence: 99%

“…The Pierson-Moskowitz parametric wave spectrum (see section 3.2) has been regularly used in the field of Computer Graphics since (Mastin et al, 1987) as a direct evaluation of wave amplitudes. But this method cannot reflect statistical characteristics of the oceanic surface.…”

Section: Wave Energy and Amplitudesmentioning

confidence: 99%

Realistic Simulation of Ocean Surface Using Wave Spectra

Fréchot

2006

Proceedings of the First International Conference on Computer Graphics Theory and Applications

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Abstract:We present a method to simulate ocean surfaces away from the coast, with correct statistical wave height and direction distributions. By using classical oceanographic parametric wave spectra, our results fit real world measurements, without depending on them. Since wave spectra are independent of the ocean model, Gerstner parametric equations and Fourier transform method can be used with them. Moreover, since they are simple to use and need very few parameters, they allow easy production of ocean surface animations usable in movies and games. We explain how to accurately sample them, to achieve oceanic waves in deep water according to given wind parameters, in a realistic way.

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“…Mastin [9] introduced an effective simulation of wave behavior using Fast Fourier Transform(FFT). The height field is constructed through inverse FFT of the frequency spectrum of the real world ocean waves.…”

Section: Introductionmentioning

confidence: 99%

Real-Time Simulation of Surface Gravity Ocean Waves Based on the TMA Spectrum

Lee

Baek

Ryu

2007

Lecture Notes in Computer Science

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Abstract. In this paper, we present a real-time method to display ocean surface gravity waves for various computer graphics applications. Starting from a precise surface gravity model in oceanography, we derive its implementation model and our prototype implementation shows more than 50 frames per second on Intel Core2 Duo 2.40GHz PC's. Our major contributions will be the improvement on the expression power of ocean waves and providing more user-controllable parameters for various wave shapes.

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Fourier Synthesis of Ocean Scenes

Cited by 176 publications

References 12 publications

Lattice-Boltzmann Water Waves

Lattice-Boltzmann Water Waves

Realistic Simulation of Ocean Surface Using Wave Spectra

Real-Time Simulation of Surface Gravity Ocean Waves Based on the TMA Spectrum

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