Cartoon-style simulation of water coupled with objects

Liu, Shiguang; Zhang, Wangda

doi:10.1016/j.simpat.2012.10.011

Cited by 1 publication

(4 citation statements)

References 22 publications

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“…We compare the method of the paper with the method of directly using the Gerstner wave model in [6,7,[9][10][11][12][13][14], and try other types of wave number spectra in this section.…”

Section: Comparing the Methods Of The Paper With The Methods Of Dirementioning

confidence: 99%

“…In [6,7,[9][10][11][12][13][14], the directional spectrum is applied to calculate the amplitude of the cosine wave. The relation between the directional spectrum and the wave number spectrum is as [36]: These two frequency spectra are recommended by ITTC (International Tank Towing Conference) [38].…”

Section: Comparing the Methods Of The Paper With The Methods Of Dirementioning

confidence: 99%

“…, not only represents the Phillips spectrum. So we can arrive at the conclusion that the wave potential of[6,7,[9][10][11][12][13][14] is very close to that of the method of the paper. To further prove the conclusion, another two wave number spectra,…”

mentioning

confidence: 88%

“…The geometry of the sea surface can be optimized by some approaches, such as the adaptive surface mesh [9], the quad tree [10], the real-time adapting mesh [11], and the fractal reconciliation [12]. The Perlin noise [6,13] was added to the height field as random disturbance. Additionally, Prachumrak et al [14] realized the interaction between the floating object and the sea surface.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Amplitude Malformation in the IFFT Ocean Wave Rendering under the Influence of the Fourier Coefficient

Chen¹,

Ye²,

Yong³

2014

ELS

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Although Tessendorf’s IFFT Gerstner wave model hasbeen widely used, the value of A, a constant of the Fouriercoefficient, is not given. A will strongly influence the shape of therendered ocean wave and even cause amplitude malformation.We study the algorithm of the IFFT Gerstner wave, and give themethod of A calculating. The method of the paper can guaranteethere is no amplitude malformation in rendered ocean waves. Theexpression of the IFFT Gerstner wave with the amplitude of thecosine wave is derived again. The definite integral of the wavenumber spectrum is discretized. Further, another expression ofthe IFFT Gerstner wave is gotten. The Fourier coefficient of theexpression contains the wave number spectrum and the area ofthe discrete integral domain. The method makes the shape of thegenerated wave stable. Comparing Tessdendorf’s method with themethod of the paper, we find that the expression of A shouldcontain the area of the discrete integral domain and the spectralconstant of the wave number spectrum. If A contains only thespectral constant, the amplitude malformation may occur. Byreading some well known open source codes, we find that the codeauthors adopted some factitious methods to suppress themalformed amplitude Obviously, the code authors have alreadynoticed the phenomenon of the malformation, but not probed thecause. The rendering results of the codes are close to that of themethod of the paper. Furthermore, the wave potential iscomputed using the Gerstner wave model directly, the author findit is quite close to that of the paper. The experimental results andcomparisons show that the method of the paper correctlycomputes the wave potential and effectively solves the problem ofamplitude malformation.

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“…We compare the method of the paper with the method of directly using the Gerstner wave model in [6,7,[9][10][11][12][13][14], and try other types of wave number spectra in this section.…”

Section: Comparing the Methods Of The Paper With The Methods Of Dirementioning

confidence: 99%