1. A method for reconstructing an image using a cone-beam computed tomography (CT) imaging system, the steps of the method comprising: a) acquiring data from a subject with the CT imaging system using a limited scan range that is less than 360 degrees; b) initializing an image matrix having columns that each correspond to a different image; c) reconstructing at least one image of the subject having a first temporal resolution from the data acquired in step a) by: i) minimizing a matrix rank of the image matrix; ii) constraining the rank minimization of step c)i) subject to a consistency condition that promotes a forward projection of each column in the image matrix to be consistent with a different subset of the acquired data, each subset of the acquired data containing data that are consistent with each other while being inconsistent with data in other subsets of the acquired data; d) performing a temporal deconvolution of the at least one image using a finite temporal window to generate at least one image of the subject with a second temporal resolution that is greater than the first temporal resolution; and e) subtracting the at least one image of the subject with the second temporal resolution and a mask image of the subject to generate a time-resolved CT angiogram of the subject.