Point Based Rendering of Implicit 4-Dimensional Surfaces

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	Similar Articles Articles by Ron J. Balsys Articles by Kevin G. Suffern

Computer Graphics, Imaging and Visualisation (CGIV 2007)

Bangkok, Thailand

August 14-August 17

ISBN: 0-7695-2928-3

	ASCII Text	x
	Ron J. Balsys, Kevin G. Suffern, "Point Based Rendering of Implicit 4-Dimensional Surfaces," Computer Graphics, Imaging and Visualization, International Conference on, pp. 31-40, Computer Graphics, Imaging and Visualisation (CGIV 2007), 2007.

	BibTex	x
	@article{ 10.1109/CGIV.2007.65, author = {Ron J. Balsys and Kevin G. Suffern}, title = {Point Based Rendering of Implicit 4-Dimensional Surfaces}, journal ={Computer Graphics, Imaging and Visualization, International Conference on}, volume = {0}, year = {2007}, isbn = {0-7695-2928-3}, pages = {31-40}, doi = {http://doi.ieeecomputersociety.org/10.1109/CGIV.2007.65}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Computer Graphics, Imaging and Visualization, International Conference on TI - Point Based Rendering of Implicit 4-Dimensional Surfaces SN - 0-7695-2928-3 SP31 EP40 A1 - Ron J. Balsys, A1 - Kevin G. Suffern, PY - 2007 KW - points KW - intervals KW - 16-tree KW - 4D implicit surfaces VL - 0 JA - Computer Graphics, Imaging and Visualization, International Conference on ER -

Ron J. Balsys, Central Queensland University, Australia

Kevin G. Suffern, University of Technology Sydney, Australia

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CGIV.2007.65

We present a point based rendering algorithm that uses hyper-cubes to perform spatial subdivision in a 4D volume. A 4D function interval exclusion test is used to speed up the rendering of 4D Implicit surfaces in this hyper-volume. A 4D orthonormal basis function is used to define a 4D camera, which projects isometric or perspective views onto a plane in 4D for viewing. The technique requires evaluations of 4D implicit surface functions and gradients to render shaded images. The technique also allows for hidden surface elimination using a z-buffer modified for use in a 4D space. We give examples of its use in rendering some 4D surfaces and discuss problems with the technique. The algorithm can be generalised to higher dimensions.

Index Terms:

points, intervals, 16-tree, 4D implicit surfaces

Citation:

Ron J. Balsys, Kevin G. Suffern, "Point Based Rendering of Implicit 4-Dimensional Surfaces," cgiv, pp.31-40, Computer Graphics, Imaging and Visualisation (CGIV 2007), 2007

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