Premium
Analytic evaluation of heterogeneity locations for external beam treatment planning
Author(s) -
Starkschall George
Publication year - 1986
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 - 10.1118/1.595839
Subject(s) - fourier series , transcendental equation , fourier transform , mathematical analysis , line (geometry) , mathematics , series (stratigraphy) , fourier analysis , geometry , numerical analysis , geology , paleontology
A method has been developed to calculate depths of calculation points analytically in patient contours containing internal heterogeneities. In this method, each contour is approximated by a Fourier series comprising five to ten terms. Using this approximation, the intersections of a ray line with each contour are found as the solution of a transcendental equation. Once these intersections have been located, effective depths used in heterogeneity calculations can readily be calculated.