Visualizing hyperbolic space

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Visualizing hyperbolic space: unusual uses of 4x4 matrices

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Symposium on Interactive 3D Graphics archive
Proceedings of the 1992 symposium on Interactive 3D graphics table of contents

Cambridge, Massachusetts, United States

Pages: 209 - 214

Year of Publication: 1992

ISBN:0-89791-467-8

Authors

Mark Phillips
Charlie Gunn

Sponsors

NSF : National Science Foundation
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 14, Downloads (12 Months): 55, Citation Count: 8

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Beardon, Alan F. The Geometry of Discrete Groups, Springer-Verlag, New York, 1983. Chapter 7 contains many useful formulas for hyperbolic geometry and trigonometry.
	2	Coxeter, H.S.M. Non-Euclidean Geometry, University of Toronto Press, 1965. This book provides a comprehensive introduction to hyperbolic geometry, with an emphasis on its definition in terms of projective geometry.
	3	I. D. Faux , M. J. Pratt, Computational Geometry for Design and Manufacture, Halsted Press, New York, NY, 1979
	4	Gunn, Charlie, et. al. "Not Knot" {videotape} Jones and Bartlett. Copies of this video may be ordered by contacting Jones and Bartlett Publishers, Inc, 20 Park Plaza, Suite 1435, Boston, MA 02116- 9792.
	5	Thurston, William. The Geometry and Topology of Three-Manifolds, volume 1. Princeton University Press, to appear. Chapters 1 and 2 provide a good introduction to hyperbolic geometry.

CITED BY 8

	Charlie Gunn, Discrete groups and visualization of three-dimensional manifolds, Proceedings of the 20th annual conference on Computer graphics and interactive techniques, p.255-262, September 1993
	Bjoern Heckel , Bernd Hamann, EmVis—a visual e-mail analysis tool, Proceedings of the 1997 workshop on New paradigms in information visualization and manipulation, p.36-38, November 10-14, 1997, Las Vegas, Nevada, United States
	Tamara Munzner , Paul Burchard, Visualizing the structure of the World Wide Web in 3D hyperbolic space, Proceedings of the first symposium on Virtual reality modeling language, p.33-38, December 13-15, 1995, San Diego, California, United States
	Tamara Munzner, Exploring Large Graphs in 3D Hyperbolic Space, IEEE Computer Graphics and Applications, v.18 n.4, p.18-23, July 1998
	T. Munzner, H3: laying out large directed graphs in 3D hyperbolic space, Proceedings of the 1997 IEEE Symposium on Information Visualization (InfoVis '97), p.2, October 18-25, 1997
	Andrew J. Hanson , Tamara Munzner , George Francis, Interactive methods for visualizable geometry, Computer, v.27 n.7, p.73-83, July 1994
	Jeff Weeks, Real-Time Rendering in Curved Spaces, IEEE Computer Graphics and Applications, v.22 n.6, p.90-99, November 2002
	Júlia Góth , Adrienn Skrop, Varying Retrieval Categoricity Using Hyperbolic Geometry, Information Retrieval, v.8 n.2, p.265-283, April 2005