✦ LIBER ✦

On a problem in radiotherapy: Questions of non-negativity

✍ Scribed by A. M. Cormack; Eric Todd Quinto

Publisher: John Wiley and Sons
Year: 1989
Tongue: English
Weight: 376 KB
Volume: 1
Category: Article
ISSN: 0899-9457
DOI: 10.1002/ima.1850010203

No coin nor oath required. For personal study only.

✦ Synopsis

A well-known result is used to show that if g is a non-negative functiqn and the radiation field, f, is its Radon transform, the dose field, f, is the convolution of g with (1 l n r ) and is necessarily nonnegative. Simple series expansions of f and f are given, and the series for f is written as a finite Fourier series. Known properties of finite Fourier series are used to seek, fruitlessly, for useful conditions on the coefficients to ensure the non-negativity of f.

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