This book subject of geometric trnsformations of digitized images and patterns by computers to develop systematically various shape models anddiscrete techniques, in particular for picture processing and pattern recognition. Transformations discussed in this book include linear, quadratic, cubic, biliner, biquadratic, bi-cubic, coons models and other nonlinear forms such as harmonic and perpective transpormations. Since they concern only the geometrical properties ogf the image or pattern, they are commonly known as geometric transformations, which can be used in computer graphics, character recognition, pattern recognition, computer vision and image processing.