Multiview Soundfield Imaging in the Projective Ray Space

A soundfield image is a data structure that efficiently encodes and represents the wave field as captured by a microphone array. Its representation is based on the directional plenacoustic function, which is defined as the radiance of the acoustic paths (rays) that cross the segment that the array lies upon. The soundfield image can be processed “as is” to develop a variety of applications. In its original formulation, the soundfield image is based on a Euclidean parameterization that can accommodate a limited range of rays and is suitable for managing a single array only. In this paper, we generalize this methodology to the case of multiple microphone arrays deployed in space. The use of multiple arrays allows us to capture truly global information on the sound field but requires us to rethink the ray space, and adopt a global representation of the acoustic rays based on projective geometry. After introducing the new parameterization, we present two examples of applications: the estimation of the mutual poses of two or more arrays (self-calibration); and the localization of multiple acoustic sources. The effectiveness of these applications is proven through simulations as well as real data experiments.