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Extension of fourier methods to the calculation of effective depths in heterogenous media of arbitrary contour


, : Extension of fourier methods to the calculation of effective depths in heterogenous media of arbitrary contour. Medical Physics (Woodbury) 13(6): 925-927

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.

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