Abstract
Indexing methods are very important for rapid processing of a large amount of data. In this paper we discuss a spatial index, that is, a method for indexing a three dimensional space. We use a regular decomposition of the space, leading to a tree structure. The advantage of a space decomposition method over storing data in the form of a table is the quick access to a point in question by using a leaf node as an index. A set of basic algorithms is presented for generation and modification of objects. This set makes it easy to detect intersections of 3D objects, which is a useful property in such applications as interactive design of three dimensional shapes.
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.
References
Bentley, J. L. “Multi-dimensional binary search tree used for associative searching,” CACM 18, 9 1975, pp.509–517.
Carlbom, I., Chakravarty, I., and Vanderschei, D. “A Hierarchical Data Structure for Representing the Spatial Decomposition of 3D Objects,” IEEE CG&A, 1985, to appear.
Chiyokura, H. and Kimura F. “A Representation of Solid Design Process Using Basic Operations,” IEEE CG&A, 1985, to appear.
Doctor, L. J. and Torborg, J. D. “Display Techniques for Octree encoded object,” IEEE CG & A, Vol 1, No. 3, July 1981, pp 29–38.
Fujimura, K., Toriya, H., Yamaguchi, K., and Kunii, T. L. “An Enhanced Oct-tree Data Structure and Operations for Solid Modeling,” Proceedings of NASA Computer-Aided Geometry Modeling, Hampton, Virginia, April 20–22, 1983, pp 279–287.
Hunter, G. M. “Geometrees for Interactive Visualization of Geology: An Evaluation,” Research Note, Schlumberger-Doll Research, Ridgefield, CT, April 1984.
Jackins, C. L. and Tanimoto, S. L. “Oct-trees and their Use in Representing Three-Dimensional Objects,” Computer Grahics and Image Processing, Vol. 14,No.3,1980, pp.249–270.
Kunii, T. L., Satoh, T., and Yamaguchi, K. “Generation of Topological Boundary Representations from Octree Encoding,” IEEE CG&A, 1985, Vol. 5, March, pp.27–31.
Mantyla, M. and Sulonen, R. “GWB — A Solid Modeler With Euler Operators,” IEEE CG & A, Vol.2, No.7,1982, pp.17–31.
Meagher, D. “Geometric Modeling Using Octree Encoding,” Computer Graphics and Image Processing, Vol.19, No.2, 1982, pp.129–147.
Requicha, A. A. G. and Voelcker, H. B. “Solid Modeling:Current Status and Research Directions”, IEEE CG&A vol.3, No.7, Oct. 1983, pp.25–37.
Yamaguchi, K., Kunii T. L., Fujimura, K., and Toriya, H. “Octree related data structure and algorithms,” IEEE CG & A, Vol.3, 1983.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag Tokyo
About this paper
Cite this paper
Fujimura, K., Kunii, T.L. (1985). A Hierarchical Space Indexing Method. In: Kunii, T.L. (eds) Computer Graphics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68030-7_2
Download citation
DOI: https://doi.org/10.1007/978-4-431-68030-7_2
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-68032-1
Online ISBN: 978-4-431-68030-7
eBook Packages: Springer Book Archive