A high resolution cylindrical scanning multi-axial tomography unit is under development which will be capable of synchronously recording x-ray profile data of sufficient axial range to reconstruct sets of up to 250 contiguous 1 mm thick cross-sections encompassing the intact thorax at rates of 60 sets per second; i. e., up to 15,000 cross-sectional images per second. The practicality of this system depends on the development of a digital processor capable of hundreds of reconstructed cross-sections per second. Using a convolution reconstruction algorithm, input data and intermediate result precision required throughout the algorithm execution have been studied with computer simulation using profile data derived from mathematically simulated test objects and experimental animal data. A prototype design for a highly parallel all-digital hard-ware reconstruction unit has been developed, employing a new generation of digital components. A small prototype section of this design using several of the new components is currently executing 60 million arithmetic operations per second. The full scale version of this high-speed processing unit is projected to reconstruct 500 to 1000 cross-sections per second.