Four-dimensional collision detection via five-dimensional homogeneous processing

Yuki Nakai, Takanobu Miwa, Hiroki Shigemune, Shuji Hashimoto, Hideyuki Sawada

研究成果: Conference contribution

抄録

For the visualization of a 4-D object, information in 4-D space is obtained by projecting a 4-D space onto a 3-D space. Previous researches mainly paid attention to the geometrical information of a single 4-D object in 4-D space. Our research aims to develop a visualization system for physical phenomena in 4-D space and to study the human spatial cognition of the 4-D space through the projected 3-D space. In this research, we focus on a collision of two 4-D objects in 4-D space and develop an algorithm for the collision detection between two 4-D objects to be displayed in 3-D space. In our developed algorithm, a 4-D object is defined as a mesh data of tetrahedrons, and a tetrahedron-based collision detection algorithm is performed by a combination of half-space tests with the use of 5-D homogeneous processing to enhance the calculation accuracy of the collision detection. The results of the collision detection between the 4-D objects are presented.

本文言語English
ホスト出版物のタイトルEleventh International Conference on Graphics and Image Processing, ICGIP 2019
編集者Zhigeng Pan, Xun Wang
出版社SPIE
ISBN(電子版)9781510635234
DOI
出版ステータスPublished - 2020
イベント11th International Conference on Graphics and Image Processing, ICGIP 2019 - Hangzhou, China
継続期間: 2019 10 122019 10 14

出版物シリーズ

名前Proceedings of SPIE - The International Society for Optical Engineering
11373
ISSN(印刷版)0277-786X
ISSN(電子版)1996-756X

Conference

Conference11th International Conference on Graphics and Image Processing, ICGIP 2019
国/地域China
CityHangzhou
Period19/10/1219/10/14

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学
  • コンピュータ サイエンスの応用
  • 応用数学
  • 電子工学および電気工学

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