Mathematical Insights into Advanced Computer Graphics Techniques

✍ Scribed by Yoshinori Dobashi, Shizuo Kaji, Kei Iwasaki

Publisher: Springer Singapore
Year: 2019
Tongue: English
Leaves: 163
Series: Mathematics for Industry 32
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-viii
Mathematics in Computer Graphics (Yoshinori Dobashi)....Pages 1-4
Front Matter ....Pages 5-5
Micro-appearance Modeling of Fabrics (Shuang Zhao)....Pages 7-33
Measuring the Light Reflectance with Mobile Devices (Roman Ďurikovič, Andrej Mihálik, Branislav Ballon, Pavol Kunovský)....Pages 35-49
Sparkling Effect in Virtual Reality Device (Roman Ďurikovič, Lucia Kunovská, Andrej Mihálik)....Pages 51-58
Dappled Tiling (Shizuo Kaji, Alexandre Derouet-Jourdan, Hiroyuki Ochiai)....Pages 59-72
Procedural Non-Uniform Cellular Noise (Théo Jonchier, Marc Salvati, Alexandre Derouet-Jourdan)....Pages 73-85
Front Matter ....Pages 87-87
Just Enough Non-linearity (Theodore Kim)....Pages 89-108
An Efficient Cloud Simulation with Adaptive Grid Structure (Kei Suzuki, Yoshinori Dobashi, Tsuyoshi Yamamoto)....Pages 109-118
Recent Progress in Simulations of 3D Vortex Sheets with Surface Tension (Kazuki Koga, Mitsuaki Funakoshi)....Pages 119-129
Front Matter ....Pages 131-131
Physics-Based Computational Design for Digital Fabrication (Changxi Zheng)....Pages 133-149
Design Tools in the Age of Personal Fabrication (Takeo Igarashi)....Pages 151-154
Clustering and Layout of Graphs with Attributed Nodes (Takayuki Itoh)....Pages 155-163

✦ Subjects

Engineering; Mathematical and Computational Engineering; Computer Imaging, Vision, Pattern Recognition and Graphics; Mathematical Applications in Computer Science

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