Clinical implementation of cone-beam tomography has been hampered by the lack of two-dimensional electronic X-ray detectors that can encompass the full width of the body. We encountered the undersized detector problem in our development of a cone-beam CT system for radiotherapy applications. In order to mitigate the problem, we developed an algorithm which permits an increased reconstruction volume to be imaged using a detector of a given size. We describe the algorithm and report on its implementation using a radiotherapy simulator configured with a digital fluorography unit.