three-pass affine transforms for volume rendering
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.
transformation volume rendering model data paper algorithm image mathematics decomposition