4-D space visualization with hidden hypersurface removal

Takanobu Miwa; Yuki Nakai; Hideyuki Sawada; Shuji Hashimoto

doi:10.1109/MHS.2017.8305234

4-D space visualization with hidden hypersurface removal

Takanobu Miwa, Yuki Nakai, Hideyuki Sawada, Shuji Hashimoto

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

This paper presents the processing technique of hidden hypersurface removal for 4-D space visualization. When 4-D space and objects are visualized in 3-D space by perspective projection, if a 4-D scene includes multiple 4-D objects and intricate structures, visibility becomes a fundamental problem in 4-D space visualization. To address this problem and improve the perception of 4-D space, we extend Warnock's area-subdivision algorithm, which is used for hidden surface removal in the domain of 2-D projections of a 3-D scene, to the domain of 3-D projections of a 4-D scene. The visualization results show that our algorithm can display a 4-D scene with correct visibility, and suggest that the hidden hypersurface removal can help us understand the spatial relationship of the 4-D scene.

Original language	English
Title of host publication	MHS 2017 - 28th 2017 International Symposium on Micro-NanoMechatronics and Human Science
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1-5
Number of pages	5
Volume	2018-January
ISBN (Electronic)	9781538633144
DOIs	https://doi.org/10.1109/MHS.2017.8305234
Publication status	Published - 2018 Feb 28
Event	28th International Symposium on Micro-NanoMechatronics and Human Science, MHS 2017 - Nagoya, Japan Duration: 2017 Dec 3 → 2017 Dec 6

Other

Other	28th International Symposium on Micro-NanoMechatronics and Human Science, MHS 2017
Country	Japan
City	Nagoya
Period	17/12/3 → 17/12/6

ASJC Scopus subject areas

Biotechnology
Biomedical Engineering
Electrical and Electronic Engineering
Mechanical Engineering

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4-D space visualization with hidden hypersurface removal. / Miwa, Takanobu; Nakai, Yuki; Sawada, Hideyuki; Hashimoto, Shuji.

MHS 2017 - 28th 2017 International Symposium on Micro-NanoMechatronics and Human Science. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. p. 1-5.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Miwa, T, Nakai, Y, Sawada, H & Hashimoto, S 2018, 4-D space visualization with hidden hypersurface removal. in MHS 2017 - 28th 2017 International Symposium on Micro-NanoMechatronics and Human Science. vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 1-5, 28th International Symposium on Micro-NanoMechatronics and Human Science, MHS 2017, Nagoya, Japan, 17/12/3. https://doi.org/10.1109/MHS.2017.8305234

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N2 - This paper presents the processing technique of hidden hypersurface removal for 4-D space visualization. When 4-D space and objects are visualized in 3-D space by perspective projection, if a 4-D scene includes multiple 4-D objects and intricate structures, visibility becomes a fundamental problem in 4-D space visualization. To address this problem and improve the perception of 4-D space, we extend Warnock's area-subdivision algorithm, which is used for hidden surface removal in the domain of 2-D projections of a 3-D scene, to the domain of 3-D projections of a 4-D scene. The visualization results show that our algorithm can display a 4-D scene with correct visibility, and suggest that the hidden hypersurface removal can help us understand the spatial relationship of the 4-D scene.

AB - This paper presents the processing technique of hidden hypersurface removal for 4-D space visualization. When 4-D space and objects are visualized in 3-D space by perspective projection, if a 4-D scene includes multiple 4-D objects and intricate structures, visibility becomes a fundamental problem in 4-D space visualization. To address this problem and improve the perception of 4-D space, we extend Warnock's area-subdivision algorithm, which is used for hidden surface removal in the domain of 2-D projections of a 3-D scene, to the domain of 3-D projections of a 4-D scene. The visualization results show that our algorithm can display a 4-D scene with correct visibility, and suggest that the hidden hypersurface removal can help us understand the spatial relationship of the 4-D scene.

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4-D space visualization with hidden hypersurface removal

Abstract

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