This book presents cutting-edge developments in the advanced mathematical theories utilized in computer graphics research - fluid simulation, realistic image synthesis, and texture, visualization and digital fabrication. A spin-off book from the International Symposium on Mathematical Progress in Expressive Image Synthesis in 2016 and 2017 (MEIS2016/2017) held in Fukuoka, Japan, it includes lecture notes and an expert introduction to the latest research presented at the symposium.

The book offers an overview of the emerging interdisciplinary themes between computer graphics and driven mathematic theories, such as discrete differential geometry. Further, it highlights open problems in those themes, making it a valuable resource not only for researchers, but also for graduate students interested in computer graphics and mathematics.

Autorentext

oshinori Dobashi is an Associate Professor at the Graduate School of Information Science and Technology, Hokkaido University. He received his Ph.D. in Engineering from Hiroshima University, and his research interests center on computer graphics, including realistic rendering, fluid simulation and sound modeling. He has published numerous papers at leading computer graphics conferences and in respected journals, such as ACM SIGGRAPH. He has received several best paper awards from major computer graphics conferences, including EUROGRAPHICS. He also received a Commendation for Science and Technology (Research Category) from the Minister of Education, Culture, Sports, Science and Technology. He is one of the leading researchers in the computer graphics community in Japan. Shizuo Kaji is an Associate Professor at the Institute of Mathematics for Industry, Kyushu University.  He received Ph.D. from the Department of Mathematics, Kyoto University in 2007. His research interest is in topology and its applications in computer sciences. He is currently a PRESTO researcher at the Japan Science and Technology Agency (JST), working on a project on the mathematics of computer graphics.

Kei Iwasaki is currently an Associate Professor at the Faculty of Systems Engineering at Wakayama University. He received his Ph.D. degree from The University of Tokyo in 2004. His research interests include computer graphics, real-time rendering and visual simulation.

Inhalt
Preface Introduction: Mathematics in Computer Graphics Yoshinori Dobashi Part 1: Mathematics in Appearance Modeling Micro-Appearance Modeling of Fabrics Shuang Zhao

Measuring the Light Reflectance with Mobile Devices

Roman urikovi and Andrej Mihálik and Branislav Ballon and Pavol Kunovský

Sparkling Effect in Virtual Reality Device

Roman urikovi and Lucia Kunovská and Andrej Mihálik Dappled tiling

Shizuo Kaji, Alexandre Derouet-Jourdan, and Hiroyuki Ochiai

Procedural Non Uniform Cellular Noise Théo Jonchier, Marc Salvati and Alexandre Derouet-Jourdan

Part 2: Mathematics in Fluid Simulation Just Enough Non-Linearity

Theodore Kim

An Efficient Cloud Simulation with Adaptive Grid Structure

Kei Suzuki and Yoshinori Dobashi and Tsuyoshi Yamamoto

Recent Progress in Simulations of 3D Vortex Sheets with Surface Tension

Kazuki Koga and Mitsuaki Funakoshi Part 3: Mathematics in Digital Fabrication and Visualization Physics-Based Computational Design for Digital Fabrication

Changxi Zheng Design Tools in the Age of Personal Fabrication

Takeo Igarashi

Clustering and Layout of Graphs with Attributed Nodes Takayuki Itoh