Continuous antialiased 2-D and 3-D transformations in discrete space

This paper presents a vectorizable set of transformations for antialiased translation, shearing, and rescaling of two‐ or three‐dimensional discrete data. Also described is a fast, acceptably accurate, flexible algorithm for performing antialiased zoom and rotation of discrete data that uses a sequence of these simpler operations. Although it was designed for applications in radiotherapy physics, it has applications in other areas of physics and other fields utilizing image processing.