Hiroyuki Ochiai - Böcker

This synthesis lecture 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.

This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms.One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications.The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.

The material included in this book provides selected presentations given at the international symposium MEIS2014. The book aims to provide a unique venue where various issues in computer graphics (CG) application fields are discussed by mathematicians as well as CG researchers and practitioners. The target audience is not limited to researchers in academia but also those in industries with a strong interest in digital media creation, scientific visualization and visual engineering.

The material included in this book provides selected presentations given at the international symposium MEIS2014. The book aims to provide a unique venue where various issues in computer graphics (CG) application fields are discussed by mathematicians as well as CG researchers and practitioners. The target audience is not limited to researchers in academia but also those in industries with a strong interest in digital media creation, scientific visualization and visual engineering.

“Progress in Expressive Image Synthesis”(MEIS2015), was held in Fukuoka, Japan, September 25–27, 2015. The aim of thesymposium was to provide a unique venue where various issues in computergraphics (CG) application fields could be discussed by mathematicians, CGresearchers, and practitioners. Through the previous symposiums MEIS2013 andMEIS2014, mathematicians as well as CG researchers have recognized that CG is aspecific and practical activity derived from mathematical theories. Issuesfound in CG broaden the field of mathematics and vice versa, and CG visualizesmathematical theories in an aesthetic manner. In this volume, the editors aim toprovoke interdisciplinary research projects through thepeer-reviewed papersand poster presentations at the this year’s symposium. This book capturesinteractions among mathematicians, CG researchers, and practitioners sharingimportant, state-of-the-art issues in graphics and visual perception. The bookis suitable for all CG researchers seeking open problem areas and especiallyfor those entering the field who have not yet selected a research direction.