Mathematics for computer graphics (Q5918653)

These days nobody can imagine a world without computer graphics. It is omnipresent, starting from simple animations up to AI applications in computer vision. However, behind computer graphics stands a wide range of advanced mathematics to be understood. It is a challenge to explain this theory in an easy-to-follow way. But this book shows that it is possible. It consists of twenty chapters. The first five chapters cover a general introduction to this topic, including number sets, algebra, trigonometry and coordinate systems. This basis is applied in the following chapters treating determinants, vector and matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, curves, patches, analytical geometry and barycentric coordinates. Then, the more modern subject of geometric algebra is presented, followed by differential and integral calculus. The last chapter presents many worked examples. This sixth edition of this book is full of worked examples and colour illustrations and is therefore very practical and easy to follow. So, it can be useful for those who are making the first steps into computer graphics as the base reference. It can be used both as a textbook for a computer graphics course and for self-study by practitioners and starting researchers alike. For the fifth edition see [Zbl 1375.68005].