Patent ID: 6990167

Claim:
A method for producing an image with a computed tomography imaging system having an x-ray source that moves around a region of interest in a path {right arrow over (y)}(t) and a detector which receives x-rays passing through the region of interest along a path {right arrow over (r)}, the steps comprising: a) acquiring a set of projection data g({right arrow over (r)},{right arrow over (y)},(t)) which measures the x-ray attenuation of a subject in the region of interest; b) calculating the derivative of the acquired projection data with respect to the x-ray source trajectory; c) convolving the derivative data with a kernel function; d) performing a weighted backprojection of the convolved data; e) adding the backprojected data to an image; and f) repeating steps a) though e) a plurality of times as the x-ray source moves around the subject.