Abstract
In traditional CAD and solid modeling, 3D objects are represented in terms of their geometric components. In contrast, in volume graphics 3D objects are represented by a discrete digital model, which is stored as a large 3D array of unit volume elements (voxels). The rapid progress in hardware, primarily in memory subsystems, has been recently transforming the field of volume graphics into a major trend which offers an alternative to traditional 3D surface graphics. This paper discusses volume graphics and several related modeling techniques.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Cohen, D. and Kaufman, A., “Scan Conversion Algorithms for Linear and Quadratic Objects”, in Volume Visualization, A. Kaufman, (ed.), IEEE Computer Society Press, Los Alamitos, CA, 280–301, 1990.
Cohen, D. and Kaufman, A., “Fundamentals of Surface Voxelization ”, Technical Report 91.06.09, Computer Science, SUNY at Stony Brook, June 1991.
Cohen, D. and Shaked, A., “Pyramidal Ray Casting”, ACM Volume Visualization Workshop, Boston, MA, October 1992.
Danielsson, P. E., “Incremental Curve Generation”, IEEE Transactions on Computers, C-19, 783–793, (1970).
Drebin, R. A., Carpenter, L., and Hanrahan, P., “Volume Rendering”, Computer Graphics (Proc. SIGGRAPH), 22, 4, 65–74, (August 1988).
Ebert, D. S. and Parent, R. E., “Rendering and Animation of Gaseous Phenomena by Combining Fast Volume and Scanline A-buffer Techniques”, Computer Graphics, 24, 4, 367–376, (August 1990).
Glassner, A. S., “Space Subdivision for Fast Ray Tracing”, IEEE Computer Graphics and Applications, 4, 10, 15–22, (October 1984).
Hart, J. C., Sandin, D. J., and Kauffman, L. H., “Ray Tracing Deterministic 3-D Fractals”, Computer Graphics, 23, 3, 289–296, (July 1989).
Kajiya, J. T. and Kay, T. L., “Rendering Fur with Three Dimensional Textures”, Computer Graphics, 23, 3, 271–280, (July 1989).
Kaufman, A. and Shimony, E., “3D Scan-Conversion Algorithms for Voxel-Based Graphics”, Proc. ACM Workshop on Interactive 3D Graphics, Chapel Hill, NC, 45–76, October 1986.
Kaufman, A., “Efficient Algorithms for 3D Scan-Conversion of Parametric Curves, Surfaces, and Volumes”, Computer Graphics, 21, 4, 171–179, (July 1987).
Kaufman, A., “An Algorithm for 3D Scan-Conversion of Polygons”, Proc. EUROGRAPHICS’87, Amsterdam, Netherlands, 197–208, August 1987.
Kaufman, A., Volume Visualization, IEEE Computer Society Press Tutorial, Los Alamitos, CA, 1990.
Kaufman, A., Yagel, R., and Cohen, D., “Intermixing Surface and Volume Rendering”, in SD Imaging in Medicine: Algorithms, Systems, Applications, K. H. Hoehne, H. Fuchs, and S. M. Pizer, (eds.), 217–227, June 1990.
Kaufman, A., “The voxblt Engine: A Voxel Frame Buffer Processor”, in Advances in Graphics Hardware IH, A.A.M. Kuijk, (ed.), Springer-Verlag, Berlin, 85–102, 1992.
Kaufman, A., Cohen, D., and Yagel, R., “Volume Graphics”, Computer, July 1993.
Lee, Y. T. and Requicha, A. A. G., “Algorithms for Computing the Volume and Other Integral Properties of Solids: I-Known Methods and Open Issues; II-A Family of Algorithms Based on Representation Conversion and Cellular Approximation”, Communications of the ACM, 25, 9, 635–650, (September 1982).
Levoy, M., “Display of Surfaces from Volume Data”, Computer Graphics and Applications, 8, 5, 29–37, (May 1988).
Mokrzycki, W., “Algorithms of Discretization of Algebraic Spatial Curves on Homogeneous Cubical Grids”, Computers & Graphics, 12, 3/4, 477–487, (1988).
Norton, V. A., “Generation and Rendering of Geometric Fractals in 3-D”, Computer Graphics, 16, 3, 61–67, (1982).
Perlin, K. and Hofiert, E. M., “Hypertexture”, Computer Graphics, 23, 3, 253–262, (July 1989).
Snyder, J. M. and Barr, A. H., “Ray Tracing Complex Models Containing Surface Tessellations”, Computer Graphics, 21, 4, 119–128, (July 1987).
Wright, J. and Hsieh, J., “A Voxel-Based, Forward Projection Algorithm for Rendering Surface and Volumetric Data”, Proceedings Visualization ’92, Boston, MA, 340–348, October 1992.
Yagel, R., Cohen, D., and Kaufman, A., “Normal Estimation in 3D Discrete Space”, The Visual Computer, 278–291, June 1992.
Yagel, R., Cohen, D., and Kaufman, A., “Discrete Ray Tracing”, IEEE Computer Graphics and Applications, 19–28, September 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kaufman, A., Yagel, R., Cohen, D. (1993). Modeling in Volume Graphics. In: Falcidieno, B., Kunii, T.L. (eds) Modeling in Computer Graphics. IFIP Series on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78114-8_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-78114-8_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78116-2
Online ISBN: 978-3-642-78114-8
eBook Packages: Springer Book Archive