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Empowering Novel Geometric Algebra for Graphics and Engineering

7th International Workshop, ENGAGE 2022, Virtual Event, September 12, 2022, Proceedings

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Eckhard Hitzer

    1. International Christian University, Tokyo, Japan

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    You can also search for this editor in PubMed   Google Scholar

  2. George Papagiannakis

    1. Department of Computer Science, University of Crete, Heraklion, Greece

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    You can also search for this editor in PubMed   Google Scholar

  3. Petr Vasik

    1. Brno University of Technology, Brno, Czech Republic

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Computer Science (LNCS, volume 13862)

Included in the following conference series:

Conference proceedings info: ENGAGE 2022.

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Table of contents (10 papers)

  1. Front Matter

    Pages i-x
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  2. Foundations of Geometric Algebra

    1. Front Matter

      Pages 1-1
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    2. The Supergeometric Algebra: The Square Root of the Geometric Algebra

      • Andrew J. S. Hamilton
      Pages 3-15

    3. Calculation of the Exponential in Arbitrary \( Cl _{p,q}\) Clifford Algebra

      • Arturas Acus, Adolfas Dargys
      Pages 16-27

    4. On Noncommutative Vieta Theorem in Geometric Algebras

      • Dmitry Shirokov
      Pages 28-37

  3. Transformations, Orientation and Fitting

    1. Front Matter

      Pages 39-39
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    2. Conjecture on Characterisation of Bijective 3D Digitized Reflections and Rotations

      • Stéphane Breuils, Yukiko Kenmochi, Eric Andres, Akihiro Sugimoto
      Pages 41-53

    3. Complementary Orientations in Geometric Algebras

      • Leo Dorst
      Pages 54-66

    4. On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints

      • Pavel Loučka
      Pages 67-79

  4. Modelling Proteins and Cities

    1. Front Matter

      Pages 81-81
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    2. Using a Graph Transformer Network to Predict 3D Coordinates of Proteins via Geometric Algebra Modelling

      • Alberto Pepe, Joan Lasenby, Pablo Chacón
      Pages 83-95

    3. How Does Geometric Algebra Support Digital Twin—A Case Study with the Passive Infrared Sensor Scene

      • Yilei Yin, Binghuang Pan, Chunye Zhou, Wen Luo, Zhaoyuan Yu, Linwang Yuan
      Pages 96-108

  6. Back Matter

    Pages 135-135
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  1. Empowering Novel Geometric Algebra for Graphics and Engineering

Keywords

About this book

This book constitutes the proceedings of the Workshop Empowering Novel Geometric Algebra for Graphics and Engineering, ENGAGE 2022, held in conjunction with Computer Graphics International conference, CGI 2022, which took place virtually, in September 2022.

The 10 full papers included in this volume were carefully reviewed and selected from 12 submissions. The workshop focused specifically on important aspects of geometric algebra including algebraic foundations, digitized transformations, orientation, conic fitting, protein modelling, digital twinning, and multidimensional signal processing.

Editors and Affiliations

  • International Christian University, Tokyo, Japan

    Eckhard Hitzer

  • Department of Computer Science, University of Crete, Heraklion, Greece

    George Papagiannakis

  • Brno University of Technology, Brno, Czech Republic

    Petr Vasik

Bibliographic Information

  • Book Title: Empowering Novel Geometric Algebra for Graphics and Engineering

  • Book Subtitle: 7th International Workshop, ENGAGE 2022, Virtual Event, September 12, 2022, Proceedings

  • Editors: Eckhard Hitzer, George Papagiannakis, Petr Vasik

  • Series Title: Lecture Notes in Computer Science

  • DOI: https://doi.org/10.1007/978-3-031-30923-6

  • Publisher: Springer Cham

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Softcover ISBN: 978-3-031-30922-9Published: 27 April 2023

  • eBook ISBN: 978-3-031-30923-6Published: 26 April 2023

  • Series ISSN: 0302-9743

  • Series E-ISSN: 1611-3349

  • Edition Number: 1

  • Number of Pages: X, 135

  • Number of Illustrations: 81 b/w illustrations, 29 illustrations in colour

  • Topics: Algebraic Geometry, Computer Graphics

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