Mathematical insights into advanced computer graphics techniques

著者

    • 土橋, 宜典 ドバシ, ヨシノリ
    • Kaji, Shizuo
    • Iwasaki, Kei

書誌事項

Mathematical insights into advanced computer graphics techniques

Yoshinori Dobashi, Shizuo Kaji, Kei Iwasaki, editors

（Mathematics for industry / editor in chief, Masato Wakayama, v. 32）

Springer, c2019

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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 Durikovic and Andrej Mihalik and Branislav Ballon and Pavol Kunovsky Sparkling Effect in Virtual Reality Device Roman Durikovic and Lucia Kunovska and Andrej Mihalik Dappled tiling Shizuo Kaji, Alexandre Derouet-Jourdan, and Hiroyuki Ochiai Procedural Non Uniform Cellular Noise Theo 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

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