ABSTRACT
The theory of transformations concerns itself with changes in the coordinates and shapes of objects upon the action of geometrical operations, dynamical boosts, or other operators. In this chapter, we deal only with linear transformations, using examples from both plane geometry and relativistic dynamics (space-time geometry). We also show how transformation techniques play an important role in image processing. We formulate both the problems and their solutions in the language of matrices. Matrices are still denoted by boldface type and matrix multiplication by an asterisk.
