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Making Images with Mathematics

  • Textbook
  • © 2021

Overview

Authors:
  1. Alexei Sourin

    1. School of Computer Science and Engineering, Nanyang Technological University, Singapore, Singapore

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  • Teaches readers how to see geometry and colors beyond simple mathematical formulas
  • Explains how to represent geometric shapes, transformations and motions by digital sampling of mathematical functions
  • Encourages students to put theory into practice using freeware software
  • Readers can use the book software repository as a starting point for their own applications

Part of the book series: Undergraduate Topics in Computer Science (UTICS)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
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  2. From Ancient Greeks to Pixels

    • Alexei Sourin
    Pages 1-23

  3. Geometric Shapes

    • Alexei Sourin
    Pages 25-83

  4. Transformations

    • Alexei Sourin
    Pages 85-121

  5. Motions

    • Alexei Sourin
    Pages 123-141

  6. Adding Visual Appearance to Geometry

    • Alexei Sourin
    Pages 143-160

  7. Putting Everything Together

    • Alexei Sourin
    Pages 161-176

  8. Let’s Draw

    • Alexei Sourin
    Pages 177-244

  9. Back Matter

    Pages 245-248
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Keywords

About this book

This textbook teaches readers how to turn geometry into an image on a computer screen. This exciting journey begins in the schools of the ancient Greek philosophers, and describes the major events that changed people’s perception of geometry. The readers will learn how to see geometry and colors beyond simple mathematical formulas and how to represent geometric shapes, transformations and motions by digital sampling of various mathematical functions.

Special multiplatform visualization software developed by the author will allow readers to explore the exciting world of visual immersive mathematics, and the book software repository will provide a starting point for their own sophisticated visualization applications.

Making Images with Mathematics serves as a self-contained text for a one-semester computer graphics and visualization course for computer science and engineering students, as well as a reference manual for researchers and developers.



Reviews

“This book is intended for computer science and engineering students and computer graphics practitioners. It can also be used by teachers as a reference material for a one-semester course of computer graphics and visualization. The book is self-contained and presents the theory in a very accessible way with many visual examples.” (Agniezka Lisowska, zbMATH 1483.68003, 2022)

Authors and Affiliations

  • School of Computer Science and Engineering, Nanyang Technological University, Singapore, Singapore

    Alexei Sourin

About the author

Dr. Alexei Sourin got his MSc (1983) and PhD (1988) degrees in Russia in the prestigious National Research Nuclear University MEPHI (Moscow Engineering Physics Institute) where he also worked on challenging research tasks of visualization of complex atomic structures. Back in 1993, Dr. Sourin came to Singapore to become a faculty at the School of Computer Science and Engineering of the renowned Nanyang Technological University. Professor Sourin is working on research projects and teaching in the areas of computer graphics, virtual reality, user-computer interaction and sonification of geometry. Alexei Sourin is a Senior Member of IEEE. For many years, he was a Chair of the IFIP workgroup “Computer Graphics and Virtual Reality”. Dr. Sourin has many research awards, and he was invited to give talks at many scientific events. He is also a coordinator of the annual international conferences on cyberworlds—immersive virtual communities that immensely augment the way we interact, participatein business and receive information throughout the world.

Bibliographic Information

  • Book Title: Making Images with Mathematics

  • Authors: Alexei Sourin

  • Series Title: Undergraduate Topics in Computer Science

  • DOI: https://doi.org/10.1007/978-3-030-69835-5

  • 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 2021

  • Softcover ISBN: 978-3-030-69834-8Published: 02 June 2021

  • eBook ISBN: 978-3-030-69835-5Published: 01 June 2021

  • Series ISSN: 1863-7310

  • Series E-ISSN: 2197-1781

  • Edition Number: 1

  • Number of Pages: XII, 248

  • Number of Illustrations: 138 b/w illustrations, 137 illustrations in colour

  • Topics: Computer Graphics, Visualization

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