Spherical harmonic expansion of cranial surfaces | Zendy

Holupka Edward J. | Zendy; Kooy Hanne M. | Zendy

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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.

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