Showing papers by "Eric Todd Quinto published in 1989"
TL;DR: A well‐known result is used to show that if g is a non‐negative function and the radiation field, f, is its Radon transform, the dose field, g, is the convolution of g with (1/πr) and is necessarily non‐negativity.
Abstract: A well-known result is used to show that if g is a non-negative function and the radiation field, f, is its Radon transform, the dose field, f, is the convolution of g with (1/πr) and is necessarily non-negative. 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.
28 citations