Abstract
Many operations on maps such as windowing and map overlaying require the maps to be translated. Therefore an efficient algorithm used to translate a map is very important in any application dealing with maps, GIS in particular. In this paper, an optimal algorithm that runs in O(s in +s out ) is described and analyzed where s in and s out denote the number of nodes in the quadtree of the map and that of the translated map.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
C.R. Dyer, The space efficiency of quadtrees, Computer Graphics and Image Processing 19, 4(August 1982), 335–348.
I. Gargantini, An effective way to represent quadtrees, Communications of the ACM 25, 12(December 1982), 905–910.
I. Gargantini, Translation, rotation, and superposition of linear quadtrees, International Journal of Man-Machine Studies 18, 3(March 1983), 253–263.
G.M. Hunter, Efficient computation and data structures for graphics, Ph.D. dissertation, Department of Electrical Engineering and Computer Science, Princeton University, Princeton, NJ, 1978.
M. Li, W.I. Grosky, and R. Jain, Normalized quadtrees with respect to translation, Computer Graphics and Image Processing 20, 1(September 1982), 72–81.
M.L.P. van Lierop, Geometrical transformations on pictures represented by leafcodes, Computer Vision, Graphics, and Image Processing 33, 1(January 1986), 81–98.
F. Peters, An algorithm for transformations on pictures represented by quadtrees, Computer Vision, Graphics, and Image Processing 32, 3 (December 1985), 397–403.
H. Samet, The Design and Analysis of Spatial Data Structures, Addison Wesley, Reading, Massachusetts, 1990.
H. Samet, Applications of Spatial Data Structures: Computer Graphics, Image Processing, and GIS, Addison Wesley, Reading, Massachusetts, 1990.
C.A. Shaffer, Application of alternative quadtree representations, Ph.D. dissertation, TR-1672, computer science Department, University of Maryland, College Park, MD, June 1986.
C.A. Shaffer and H. Samet, Set operations for unaligned linear quadtrees, Computer Vision, Graphics, and Image Processing 50, 1(April 1990), 29–49.
A. Touir and B. Kerherve, Pattern translation in images encoded by linear quadtree, Modeling in Computer Graphics, Proceedings of the IFIP WG 5.10 working conference, Tokyo, Japan, April 8–12, 1991.
T.R. Walsh, Efficient axis-translation of binary digital pictures by blocks in linear quadtrees representation, Computer Vision, Graphics, and Image Processing 41, 3(March 1988), 282–292.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ang, CH. (1993). An optimal quadtree translation algorithm. In: Abel, D., Chin Ooi, B. (eds) Advances in Spatial Databases. SSD 1993. Lecture Notes in Computer Science, vol 692. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56869-7_11
Download citation
DOI: https://doi.org/10.1007/3-540-56869-7_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-56869-8
Online ISBN: 978-3-540-47765-5
eBook Packages: Springer Book Archive