This book provides provides a detailed introduction to multiresolution signal and geometry processing, and is primarily intended to be used as a text for graduate/undergraduate students in engineering (and other related) disciplines. The book evolved from a detailed set of lecture notes that the author prepared in order to teach graduate and undergraduate courses related to multiresolution signal and geometry processing at the University of Victoria. The initial work on these lecture notes commenced in the Fall 2003 term, and the first draft was completed during the Summer 2004 term for the teaching of ELEC 639. Over time, the lecture notes underwent many changes, eventually evolving into the book that you are now reading.