Representing scattering functions with spherical harmonics of spectral Fourier components

Huiying Xu; Yinlong Sun

doi:10.1117/12.527295

21 May 2004 Representing scattering functions with spherical harmonics of spectral Fourier components

Huiying Xu, Yinlong Sun

Proceedings Volume 5299, Computational Imaging II; (2004) https://doi.org/10.1117/12.527295
Event: Electronic Imaging 2004, 2004, San Jose, California, United States

Abstract

A fundamental problem in imaging science and engineering is to characterize wave scattering from a small region of surface or volume. This behavior is generally described by a multidimensional scattering function. This paper proposes a new representation method of scattering functions to optimize data compression. Our method first performs a Fourier transform in the wavelength dimension and then spherical harmonic transform for each Fourier coefficient in the dimensions for spatial directions. The representation errors are studied numerically for using different levels of spherical harmonics and different numbers of Fourier components. This method has the advantage of efficiently storing data of scattering functions and has a great potential of applications in imaging science and engineering.

Citation Download Citation

Huiying Xu and Yinlong Sun "Representing scattering functions with spherical harmonics of spectral Fourier components", Proc. SPIE 5299, Computational Imaging II, (21 May 2004); https://doi.org/10.1117/12.527295

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