Applications of 3-Dimensional Spherical Transforms to Acoustics and Personalization of Head-related

Опубликовано 13 июня 2016, 20:13

The spherical harmonic transform (SHT), which returns spatial frequency components of data or distributions determined on the unit sphere, has found many applications in acoustics, such as spatial sound capture and reproduction, beamforming with spherical arrays, analysis of transducer radiation patterns, interpolation of head-related transfer functions (HRTFs) and others. However the SHT is a 2-dimensional transform, not suited for 3-dimensional data that vary not only with angle but additionally across the radial dimension. This work examines two 3-dimensional spherical transforms, namely the spherical Fourier-Bessel transform (SFBT) and the spherical harmonic oscillator transform (SHOT), and considers their potential uses in acoustics. The study presents preliminary results on their application to personalization of HRTFs, avoiding the cumbersome task of measuring them directly. Assuming that head-shape similarity correlates to some extent with HRTF similarity, we employ the aforementioned transforms to get a spectral representation of the user's head scan, and determine its distance from the spectra of head scans associated with the HRTF database.