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  • © 2019

Mathematical Insights into Advanced Computer Graphics Techniques

  • Includes lecture notes by three leading researchers in computer graphics and related mathematics
  • Offers an overview of the state-of-the-art mathematical theories in computer graphics
  • Discusses interdisciplinary topics from various fields of computer graphics and mathematics
  • Provides brief insights into mainstream subjects such as geometry processing, fluid simulation and rendering

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

Conference series link(s): MEIS: International symposium Mathematical Progress in Expressive Image Synthesis

Conference proceedings info: MEIS 2016. MEIS 2017.

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-viii
  2. Mathematics in Computer Graphics

    • Yoshinori Dobashi
    Pages 1-4
  3. Mathematics in Appearance Modeling

    1. Front Matter

      Pages 5-5
    2. Micro-appearance Modeling of Fabrics

      • Shuang Zhao
      Pages 7-33
    3. Measuring the Light Reflectance with Mobile Devices

      • Roman Ďurikovič, Andrej Mihálik, Branislav Ballon, Pavol Kunovský
      Pages 35-49
    4. Sparkling Effect in Virtual Reality Device

      • Roman Ďurikovič, Lucia Kunovská, Andrej Mihálik
      Pages 51-58
    5. Dappled Tiling

      • Shizuo Kaji, Alexandre Derouet-Jourdan, Hiroyuki Ochiai
      Pages 59-72
    6. Procedural Non-Uniform Cellular Noise

      • Théo Jonchier, Marc Salvati, Alexandre Derouet-Jourdan
      Pages 73-85
  4. Mathematics in Fluid Simulation

    1. Front Matter

      Pages 87-87
    2. Just Enough Non-linearity

      • Theodore Kim
      Pages 89-108
    3. An Efficient Cloud Simulation with Adaptive Grid Structure

      • Kei Suzuki, Yoshinori Dobashi, Tsuyoshi Yamamoto
      Pages 109-118
    4. Recent Progress in Simulations of 3D Vortex Sheets with Surface Tension

      • Kazuki Koga, Mitsuaki Funakoshi
      Pages 119-129
  5. Mathematics in Digital Fabrication and Visualization

    1. Front Matter

      Pages 131-131

About this book

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.

Editors and Affiliations

  • Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan

    Yoshinori Dobashi

  • Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan

    Shizuo Kaji

  • Faculty of Systems Engineering, Wakayama University, Wakayama, Japan

    Kei Iwasaki

About the editors

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access