A figurative and non-topological approach to mathematical visualization

Atsushi Miyazawa, Masanori Nakayama, Issei Fujishiro

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

The term figurative refers to any form of mathematical visualization that retains strong references to the geometry found in the real world. This paper explains the figuration process for some basic mathematical functions definable in the n-dimensional complex projective space. In the latter part of this paper, we raise a question that has been neglected thus far: What does the Riemann sphere's axis stand for? We show that the answer can be obtained only by observing from the inside the sphere by setting the viewpoint of the immersive environment to the origin, which is always undefined in projective geometry.We also draw some basic math functions that are familiar to us on the projective plane and observe the invariant properties that exist among the functions, which were thought to be different from one another.

本文言語English
ホスト出版物のタイトルProceedings - 2018 International Conference on Cyberworlds, CW 2018
編集者Alexei Sourin, Olga Sourina, Marius Erdt, Christophe Rosenberger
出版社Institute of Electrical and Electronics Engineers Inc.
ページ150-155
ページ数6
ISBN(電子版)9781538673157
DOI
出版ステータスPublished - 2018 12月 26
イベント17th International Conference on Cyberworlds, CW 2018 - Singapore, Singapore
継続期間: 2018 10月 32018 10月 5

出版物シリーズ

名前Proceedings - 2018 International Conference on Cyberworlds, CW 2018

Conference

Conference17th International Conference on Cyberworlds, CW 2018
国/地域Singapore
CitySingapore
Period18/10/318/10/5

ASJC Scopus subject areas

  • 信号処理
  • モデリングとシミュレーション
  • コンピュータ ビジョンおよびパターン認識
  • 人工知能

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