Affine transformations of volume arrays are important for implementing volume modeling and orthographic viewing transformations and for registering multiple data sets. In this paper we extend the two-pass algorithm for affine image transformations to a three-pass affine volume transformation algorithm. The mathematics of the decomposition is derived and the issues involved in resampling the transformed volume are discussed.
/lp/association-for-computing-machinery/three-pass-affine-transforms-for-volume-rendering-DT8jsNyU03