A tutorial in multi-scale methods for computer vision and image processing. It builds on the cross-fertilization between human visual perception and multi-scale computer vision ("scale-space") theory and applications. The multi-scale strategies recognized in the first stages of the human visual system are carefully examined, and taken as inspiration for the many geometric methods discussed. All chapters are written in Mathematica, a high-level language for symbolic and numerical manipulations. The book presents a new and effective approach to quickly mastering the mathematics of computer vision and image analysis. The typically short code is given for every topic discussed, and invites the reader to spend many hours "playing" with computer vision. The book is intended for undergraduate and graduate students, and all with an interest in computer vision, medical imaging and human visual perception.