The major improvement of the new algorithm versus the old is execution speed. The old algorithm executes on average for 25 minutes. In comparison, the average time of the new algorithm is 50 seconds. This is an improvement by a factor of thirty. An intermediate stage of the new algorithm (which uses the min-max method of determining which ijk points influence which voxels) runs in 45 seconds. This demonstrates that the performance cost of 3D scan conversion is minimal.
The other improvement is in image quality (Appendix A, Figures 1 - 4). (The following conclusions are not based on the printed images in the Appendix. Those pictures do not clearly demonstrate the differences between the two algorithms, as do the high-resolution computer images.) As demonstrated in the images, the new algorithm generally produces smoother images than the original. This is most likely the result of errors in the original algorithm, caused by the min-max bounding box problem. In Figures 1 and 2, pressure is the value rendered. In Figures 3 and 4, temperature is rendered.