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

抜粋

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.

元の言語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
出版者SPIE
ISBN(電子版)9781510635234
DOI
出版物ステータス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(印刷物)0277-786X
ISSN(電子版)1996-756X

Conference

Conference11th International Conference on Graphics and Image Processing, ICGIP 2019
China
Hangzhou
期間19/10/1219/10/14

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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  • これを引用

    Nakai, Y., Miwa, T., Shigemune, H., Hashimoto, S., & Sawada, H. (2020). Four-dimensional collision detection via five-dimensional homogeneous processing. : Z. Pan, & X. Wang (版), Eleventh International Conference on Graphics and Image Processing, ICGIP 2019 [1137329] (Proceedings of SPIE - The International Society for Optical Engineering; 巻数 11373). SPIE. https://doi.org/10.1117/12.2559341