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Advanced Computational Applications of Geometric Algebra

First International Conference, ICACGA 2022, Denver, CO, USA, October 2-5, 2022, Proceedings

  • Conference proceedings
  • © 2024

Overview

Editors:
  1. David W. Silva

    1. Algemetric, Colorado Springs, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Eckhard Hitzer

    1. International Christian University, Tokyo, Japan

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    You can also search for this editor in PubMed   Google Scholar

  3. Dietmar Hildenbrand

    1. TU Darmstadt, Darmstadt, Germany

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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 13771)

Included in the following conference series:

Conference proceedings info: ICACGA 2022.

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About this book

This book constitutes the post-conference proceedings of the First International Conference on Advanced Computational Applications of Geometric Algebra, ICACGA 2022, held in Denver, CO, USA, during October 2-5, 2022.

The 18 full papers presented in this book together with 12 abstracts of invited talks were carefully reviewed and selected from 24 submissions.

The papers are grouped in the following topical sections: geometric applications; computer science applications; technological applications; and applications to physics and mathematics.

Keywords

Table of contents (18 papers)

  1. Front Matter

    Pages i-xxxix
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  3. Computer Science Applications

    1. Front Matter

      Pages 61-61
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    2. Geometric Algebra Models of Proteins for Three-Dimensional Structure Prediction

      • Alberto Pepe, Joan Lasenby, Pablo Chacón
      Pages 63-74

    3. Clifford Convolutional Neural Networks for Lymphoblast Image Classification

      • Guilherme Vieira, Marcos Eduardo Valle, Wilder Lopes
      Pages 75-87

    4. Geometric Algebra and Distance Matrices

      • Vinicius Riter, Rafael Alves, Carlile Lavor
      Pages 88-98

    5. GAAlign: Robust Sampling-Based Point Cloud Registration Using Geometric Algebra

      • Kai A. Neumann, Dietmar Hildenbrand, Florian Stock, Christian Steinmetz, Maximilian Michel
      Pages 99-111

    6. Quantum Register Algebra: The Basic Concepts

      • J. Hrdina, D. Hildenbrand, A. Návrat, C. Steinmetz, R. Alves, C. Lavor et al.
      Pages 112-122

  4. Technological Applications

    1. Front Matter

      Pages 123-123
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    2. A Geometric Procedure for Computing Differential Characteristics of Multi-phase Electrical Signals Using Geometric Algebra

      • Ahmad H. Eid, Francisco G. Montoya
      Pages 125-137

    3. Notes on Forward Kinematics of Generalised Robotic Snakes Based on Compass Ruler Algebra

      • Roman Byrtus, Stanislav Frolík
      Pages 138-146

    4. Hand-Eye Calibration Using Camera’s IMU Sensor in Quadric Geometric Algebra (QGA)

      • Julio Zamora-Esquivel, Edgar Macias-Garcia, Leobardo Campos-Macias
      Pages 147-158

  5. Applications to Physics and Mathematics

    1. Front Matter

      Pages 159-159
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    2. The Supergeometric Algebra as the Language of Physics

      • Andrew J. S. Hamilton
      Pages 161-173

    3. Geometric Algebra Speaks Quantum Esperanto, I

      • Sebastian Xambó-Descamps
      Pages 174-185
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Other volumes

  1. Advanced Computational Applications of Geometric Algebra

Editors and Affiliations

  • Algemetric, Colorado Springs, USA

    David W. Silva

  • International Christian University, Tokyo, Japan

    Eckhard Hitzer

  • TU Darmstadt, Darmstadt, Germany

    Dietmar Hildenbrand

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