A new approach to the reconstruction of images with limited data from rotary fan-beam computed tomography (CT) scanners is presented. The missing views are estimated by reflecting the data obtained at source positions in the range (l80±fan angle) away from the desired viewing angle. Due to asymmetry of the source/ detector geometry the "reflected" views may be offset from the desired views and additional corrections are required. Measured and "reflected" views are convolved and backprojected using the standard fan-beam geometry reconstruction algorithm. This method is used to reconstruct 1.8 second images from a rotary fan-beam scanner which rotates 360° in 3 seconds, providing improved temporal resolution for dynamic CT studies with no increase in noise at a constant radiation exposure. In addition, the method is applied to ECG-gated cardiac imaging, reducing the scanning interval required for generating systolic and diastolic images by a factor of 40%.