skip to main content
10.1145/3355049.3360518acmconferencesArticle/Chapter ViewAbstractPublication Pagessiggraph-asiaConference Proceedingsconference-collections
abstract

Polyvision: 4D Space Manipulation through Multiple Projections

Published: 17 November 2019 Publication History

Abstract

Seeing is believing. Our novel virtual reality system, Polyvision, applies this old saying to the fourth dimension. Various shadows of an object in a four-dimensional (4D) space are simultaneously projected onto multiple three-dimensional (3D) screens created in a virtual environment to reveal its intricate shape. The understanding of high-dimensional shapes and data can essentially be enhanced when good visualization is complemented by interactive functionality. However, a method to implement an interface for handling complex 4D transformations in a user-friendly manner must be developed. Using our Polyvision system, the user can manipulate each shadow as if it were a 3D object in their hand. The user’s action on each projection is reflected to the original 4D object, and in turn its projections, in real time. While controlling the object’s orientation minutely on one shadow, the user can grasp its global structure from multiple changing projections. Our system has a wide variety of applications in visualization, education, mathematical research, and entertainment, as we demonstrate with a variety of 4D objects that appear in mathematics and data sciences.

References

[1]
Edwin Abbott. 1884. Flatland: A Romance of Many Dimensions. Seeley & Co., London.
[2]
Thomas Banchoff. 1990. Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions. W. H. Freeman & Co. New York, NY, USA.
[3]
Andrew J. Hanson. 2012. 4Dice. https://www.cs.indiana.edu/~hanson/
[4]
Étienne Ghys Jos Leys and Aurélien Alvarez. 2010. Dimensions. http://www.dimensions-math.org
[5]
Akira Kageyama. 2016. A visualization method of four-dimensional polytopes by oval display of parallel hyperplane slices. Journal of Visualization 19, 3 (01 Aug 2016), 417–422. https://doi.org/10.1007/s12650-015-0319-5
[6]
A. Michael Noll. 1968. Computer animation and the fourth dimension. In Proceedings of the December 9-11, 1968, Fall Joint Computer Conference, Part II(AFIPS ’68 (Fall, part II)). ACM, New York, NY, USA, 1279–1283. https://doi.org/10.1145/1476706.1476757
[7]
Keijiro Takahashi. 2017. Pcx - Point Cloud Importer/Renderer for Unity. https://github.com/keijiro/Pcx
[8]
Marc ten Bosch. 2017. 4D Toys. http://4dtoys.com
[9]
Jeffrey Weeks. 2016. 4D Maze and 4D Draw. http://geometrygames.org

Cited By

View all
  • (2025)Visualization of four-dimensional X-ray absorption fine structure data using a virtual reality systemJournal of Synchrotron Radiation10.1107/S160057752401122632:1(162-170)Online publication date: 1-Jan-2025
  • (2021)Higher Dimensional Graphics: Conceiving Worlds in Four Spatial Dimensions and BeyondComputer Graphics Forum10.1111/cgf.14261440:2(51-63)Online publication date: 4-Jun-2021

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences
SA '19: SIGGRAPH Asia 2019 Emerging Technologies
November 2019
54 pages
ISBN:9781450369428
DOI:10.1145/3355049
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 17 November 2019

Check for updates

Author Tags

  1. education
  2. four-dimensional space
  3. virtual reality
  4. visualization

Qualifiers

  • Abstract
  • Research
  • Refereed limited

Conference

SA '19
Sponsor:
SA '19: SIGGRAPH Asia 2019
November 17 - 20, 2019
QLD, Brisbane, Australia

Acceptance Rates

Overall Acceptance Rate 178 of 869 submissions, 20%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 05 Mar 2025

Other Metrics

Citations

Cited By

View all
  • (2025)Visualization of four-dimensional X-ray absorption fine structure data using a virtual reality systemJournal of Synchrotron Radiation10.1107/S160057752401122632:1(162-170)Online publication date: 1-Jan-2025
  • (2021)Higher Dimensional Graphics: Conceiving Worlds in Four Spatial Dimensions and BeyondComputer Graphics Forum10.1111/cgf.14261440:2(51-63)Online publication date: 4-Jun-2021

View Options

View options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media