Real-time maritime scene simulation for ladar sensors

Christie, Chad L.; Gouthas, Efthimios; Swierkowski, Leszek; Williams, Owen M.

doi:10.1117/12.883770

Cited by 1 publication

(8 citation statements)

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“…A represents the numeric constant of the Phillips spectrum in expression (4). The IFFT Gerstner wave was raised in [18], and [19][20][21][22][23][24][25][26][27][28][29][30] directly made use of it. All of them achieved satisfactory results.…”

Section: Amplitude Malformation In the Ifft Ocean Wave Rendering Undementioning

confidence: 99%

“…A is a numeric constant of the Phillips spectrum which is included in the expression of the Fourier coefficient, so A is also contained in the expression of the Fourier coefficient. Although Tessendorf's method has been widely used and studied, the author finds the value of A is not given in [18][19][20][21][22][23][24][25][26][27][28][29][30]. However, A strongly influences the shape of the generated ocean wave.…”

Section: Amplitude Malformation In the Ifft Ocean Wave Rendering Undementioning

confidence: 99%

“…THE IFFT GERSTNER WAVE [18] provided the expression of the IFFT Gerstner wave, and [19][20][21][22][23][24][25][26][27][28][29][30] directly made use of it. However, neither [18] nor [19][20][21][22][23][24][25][26][27][28][29][30] gave the derivation of the expression. Although [15] derived the expression of the IFFT Gerstner wave, the work was not complete and had some flaws:…”

Section: Phmentioning

confidence: 99%

“…A. Comparing the Method in [18] (20) The wave potential of the method of the paper is: T h x t r is miscomputed in this case. This is the reason why the amplitude of the generated ocean wave is malformed in Figure 1.…”

Section: Comparison Studiesmentioning

confidence: 99%

“…The Fourier coefficient of Tessendorf's method contains the wave number spectrum and random numbers, so the generated wave is irregular and nonlinear. The optimizing approach for the geometry included the concentric circle grid [19] and clipmap [20]. By the optimization, the mesh of the geometry is refined or coarsened according to the eye position.…”

Section: Introductionmentioning

confidence: 99%

See 4 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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