Human spatial perception of sound is a complex phenomenon. The Head-Related Transfer Function (HRTF) is a vital component to spatial sound perception. In order improve the understanding of the correlation between the HRTF and specific geometry of the head and pinna, a Boundary Element Method (BEM) has been used to calculate a portion of the HRTF of an individual based on precise geometrical data. Advantages of this approach include the ability to alter the geometry of the individual through the model in ways which are not possible with real subjects. Several models are used in the study, including a head with no pinna and several sized spheres. Calculations are performed for various source locations around the head. Results are presented for rigid model cases. Effects of variations on impedance and comparisons to measured data will be presented in the subsequent paper.