Four-dimensional collision detection via five-dimensional homogeneous processing

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

doi:10.1117/12.2559341

3 January 2020 Four-dimensional collision detection via five-dimensional homogeneous processing

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

Proceedings Volume 11373, Eleventh International Conference on Graphics and Image Processing (ICGIP 2019); 1137329 (2020) https://doi.org/10.1117/12.2559341
Event: Eleventh International Conference on Graphics and Image Processing, 2019, Hangzhou, China

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.

Citation Download Citation

Yuki Nakai, Takanobu Miwa, Hiroki Shigemune, Shuji Hashimoto, and Hideyuki Sawada "Four-dimensional collision detection via five-dimensional homogeneous processing", Proc. SPIE 11373, Eleventh International Conference on Graphics and Image Processing (ICGIP 2019), 1137329 (3 January 2020); https://doi.org/10.1117/12.2559341

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