Extension of Fourier methods to the calculation of effective depths in heterogeneous media of arbitrary contour

The description of patient contours and internal structures by means of truncated Fourier series can be extended to continuous contours of arbitrary shape and location by expressing the x and z Cartesian coordinates of the contour as independent Fourier series in a parameter t . An analytic equation for the intersection of the contour and a ray line is then written as an equation in the parameter t . The equation can be solved using numerical methods yielding the Cartesian coordinates of the intersection point directly.