@conference {18458, title = {Fast Multipole Accelerated Boundary Elements for Numerical Computation of the Head Related Transfer Function}, booktitle = {IEEE International Conference on Acoustics, Speech and Signal Processing, 2007. ICASSP 2007}, volume = {1}, year = {2007}, month = {2007/04//}, pages = {I-165-I-168 - I-165-I-168}, publisher = {IEEE}, organization = {IEEE}, abstract = {The numerical computation of head related transfer functions has been attempted by a number of researchers. However, the cost of the computations has meant that usually only low frequencies can be computed and further the computations take inordinately long times. Because of this, comparisons of the computations with measurements are also difficult. We present a fast multipole based iterative preconditioned Krylov solution of a boundary element formulation of the problem and use a new formulation that enables the reciprocity technique to be accurately employed. This allows the calculation to proceed for higher frequencies and larger discretizations. Preliminary results of the computations and of comparisons with measured HRTFs are presented.}, keywords = {Acceleration, Acoustic measurements, Acoustic scattering, audio signal processing, boundary element formulation, Boundary element method, Boundary element methods, boundary-elements methods, Costs, Ear, Fast Multipole Method, Frequency, Head related transfer function, HUMANS, Irrigation, iterative methods, multipole accelerated boundary elements, multipole based iterative preconditioned Krylov solution, numerical computation, Reciprocity, Transfer functions}, isbn = {1-4244-0727-3}, doi = {10.1109/ICASSP.2007.366642}, author = {Gumerov, Nail A. and Duraiswami, Ramani and Zotkin,Dmitry N} }