Premium
Spherical harmonic expansion of cranial surfaces
Author(s) -
Holupka Edward J.,
Kooy Hanne M.
Publication year - 1991
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.596629
Subject(s) - spherical harmonics , surface (topology) , intersection (aeronautics) , harmonic , representation (politics) , mathematics , harmonic analysis , iterative method , harmonic mean , geometry , mathematical analysis , physics , optics , algorithm , acoustics , politics , political science , law , engineering , aerospace engineering
A three‐dimensional analytical technique for the representation of the cranial surface based on a spherical harmonic expansion is presented. The analytical surface representation is used in conjunction with a sample iterative ray–intersection algorithm to compute the dose calculation depth. The technique is compared to other conventional techniques and it is determined that the spherical harmonic approach of approximating the cranial surface decreases the depth calculation time by approximately a factor of 60.