Singapore: Springer, 2019. — 163 p.
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.
Mathematics in Computer Graphics
Micro-appearance Modeling of Fabrics
Measuring the Light Reflectance with Mobile Devices
Sparkling Effect in Virtual Reality Device
Dappled Tiling
Procedural Non-Uniform Cellular Noise
Just Enough Non-linearity
An Efficient Cloud Simulation with Adaptive Grid Structure
Recent Progress in Simulations of 3D Vortex Sheets with Surface Tension
Physics-Based Computational Design for Digital Fabrication
Design Tools in the Age of Personal Fabrication
Clustering and Layout of Graphs with Attributed Nodes