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Mathematical Insights into Advanced Computer Graphics Techniques

  • Yoshinori Dobashi
  • Shizuo Kaji
  • Kei Iwasaki
Book MEIS 2016, MEIS 2017

Part of the Mathematics for Industry book series (MFI, volume 32)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Yoshinori Dobashi
    Pages 1-4
  3. Mathematics in Appearance Modeling

    1. Front Matter
      Pages 5-5
    2. Shuang Zhao
      Pages 7-33
    3. Roman Ďurikovič, Andrej Mihálik, Branislav Ballon, Pavol Kunovský
      Pages 35-49
    4. Roman Ďurikovič, Lucia Kunovská, Andrej Mihálik
      Pages 51-58
    5. Shizuo Kaji, Alexandre Derouet-Jourdan, Hiroyuki Ochiai
      Pages 59-72
    6. Théo Jonchier, Marc Salvati, Alexandre Derouet-Jourdan
      Pages 73-85
  4. Mathematics in Fluid Simulation

    1. Front Matter
      Pages 87-87
    2. Theodore Kim
      Pages 89-108
    3. Kei Suzuki, Yoshinori Dobashi, Tsuyoshi Yamamoto
      Pages 109-118
    4. Kazuki Koga, Mitsuaki Funakoshi
      Pages 119-129
  5. Mathematics in Digital Fabrication and Visualization

    1. Front Matter
      Pages 131-131

About this book

Introduction

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.

Keywords

Mathematical Theories for CG Technology Geometry Processing Differential Geometry for Computer Graphics Modeling Realistic Image Synthesis Realistic Fluid Simulation in Computer Graphics

Editors and affiliations

  • Yoshinori Dobashi
    • 1
  • Shizuo Kaji
    • 2
  • Kei Iwasaki
    • 3
  1. 1.Graduate School of Information Science and TechnologyHokkaido UniversitySapporoJapan
  2. 2.Institute of Mathematics for IndustryKyushu UniversityFukuokaJapan
  3. 3.Faculty of Systems EngineeringWakayama UniversityWakayamaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-2850-3
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-13-2849-7
  • Online ISBN 978-981-13-2850-3
  • Series Print ISSN 2198-350X
  • Series Online ISSN 2198-3518
  • Buy this book on publisher's site