摘要
A new method to compute the first derivative of 3-DRadon transform is given for cone-beam data taken from any orbit.Smith and Grangeat even derived cone-beam inversion formulaswhich are the basic work in fully 3-D image reconstruction algorithm andare used extensively now. In thispaper we will give a new inversion formula and a simple necessaryand sufficient condition which guarantees the complete reconstructionalgorithm.
A new method to compute the first derivative of 3-DRadon transform is given for cone-beam data taken from any orbit.Smith and Grangeat even derived cone-beam inversion formulaswhich are the basic work in fully 3-D image reconstruction algorithm andare used extensively now. In thispaper we will give a new inversion formula and a simple necessaryand sufficient condition which guarantees the complete reconstructionalgorithm.
