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Four-dimensional collision detection via five-dimensional homogeneous processing
Author(s): Yuki Nakai; Takanobu Miwa; Hiroki Shigemune; Shuji Hashimoto; Hideyuki Sawada
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Paper Abstract

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.

Paper Details

Date Published: 3 January 2020
PDF: 8 pages
Proc. SPIE 11373, Eleventh International Conference on Graphics and Image Processing (ICGIP 2019), 1137329 (3 January 2020); doi: 10.1117/12.2559341
Show Author Affiliations
Yuki Nakai, Waseda Univ. (Japan)
Takanobu Miwa, Chuo Univ. (Japan)
Hiroki Shigemune, Shibaura Institute of Technology (Japan)
Shuji Hashimoto, Waseda Univ. (Japan)
Hideyuki Sawada, Waseda Univ. (Japan)

Published in SPIE Proceedings Vol. 11373:
Eleventh International Conference on Graphics and Image Processing (ICGIP 2019)
Zhigeng Pan; Xun Wang, Editor(s)

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