Abstract
One of the challenges in 4D math visualization is to develop an interactive and integrated computational environment to quick-prototype, simulate, and experiment with the abstract mathematical concepts. We have investigated several areas in 4D visualization including 4D surface rendering, various user interface elements to manipulate mathematical objects in the higher-dimensional space, and physically based modeling of cloth-like 4D objects to understand the math phenomena in the fourth dimension. In this paper, we present one such Python based 4D visualization environment that achieves a high level of integration between 4D math, physics computation and interactive visualization.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Azman Abu, N., Daud Hassan, M., Sahib, S.: Mathematical animations: The art of teaching. In: 31st Annual Frontiers in Education Conference, vol. 3, pp. S1C –10–15 (2001)
Eberly, D.: 3D Game Engine Design. Morgan Kaufmann Publisher (2001)
Francis, G., Sullivan, J.M.: Visualizing a sphere eversion. IEEE Transactions on Visualization and Computer Graphics 10(5), 509–515 (2004)
Hanson, A.: A construction for computer visualization of certain complex curves. Notices of the Amer. Math. Soc. 41(9), 1156–1163 (1994)
Zelle, J.M., Figura, C.: Simple, low-cost stereographics: VR for everyone. SIGCSE Bull. 36, 348–352 (2004)
Zhang, H., Hanson, A.: Shadow-driven 4D haptic visualization. IEEE Transactions on Visualization and Computer Graphics 13(6), 1688–1695 (2007)
Zhang, H., Weng, J., Hanson, A.J.: A pseudo-haptic knot diagram interface. In: VDA 2011: Proceedings of the Conference on Visualization and Data Analysis 2011, San Francisco, CA (January 2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jing, L., Huang, X., Zhong, Y., Wu, Y., Zhang, H. (2012). A Python Based 4D Visualization Environment. In: Liu, B., Ma, M., Chang, J. (eds) Information Computing and Applications. ICICA 2012. Lecture Notes in Computer Science, vol 7473. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34062-8_55
Download citation
DOI: https://doi.org/10.1007/978-3-642-34062-8_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34061-1
Online ISBN: 978-3-642-34062-8
eBook Packages: Computer ScienceComputer Science (R0)