Mathematical Basics of Motion and Deformation in Computer Graphics (Synthesis Lectures on Computer Graphics and Animation)
暫譯: 計算機圖形學中的運動與變形數學基礎（計算機圖形學與動畫綜合講座）

This book presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.