Abstract
A hierarchical model for approximating 2-1/2 dimensional surfaces is described. This model, called Delaunay pyramid, is a method for compression of spatial data and representation of a surface at successively finer levels of detail. The Delaunay pyramid is based on a sequence of Delaunay triangulations of suitably defined subsets of the set of data points.
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
Boissonat,J.D., Geometric Structures for Three Dimensional Shape Representation, A.C.M. Trans. on Graphics, 3, 4, 1984, pp. 266–286.
Boissonat,J.D., Tellaud,M., A Hierarchical Representation of Objects: the Delaunay tree, Proceedings Second A.C.M. Symposium on Computational Geometry, Yorktown Heights, June 1986, pp. 260–268.
Chen,Z.T., Tobler,W.R., Quadtree Representation of Digital Terrain, Proceedings AUTOCARTO 86, London, 1986, pp. 475–484.
De Floriani,L., Falcidieno,B., Nagy,G., Pienovi,C., A Hierarchical Structure for Surface Approximation, Computer and Graphics, 8, 2, 1984, pp. 183–193.
De Floriani,L., Falcidieno,B., Pienovi,C., A Delaunay Based Representation of Surfaces Defined over Arbitrarily Shaped Domains, Computer Vision, Graphics and Image Processing, 35, 1985, pp. 127–140.
De Floriani,L., Mantero,D., Quadtree Based Surface Models, Tech. Rep. I.M.A., n.219, Genova, 1986 (in Italian).
Dobkin, D.P., Kirkpatrick,D.G., Fast Detection of Polyhedral Intersections, Theoretical Computer Science, 27, 1983, pp. 241 - 253.
Faugeras,O.D., Ponce,J., Prism Trees: A Hierarchical Representation for 3D Objects, Proceedings Eight Int. Conference on Artificial Intelligence, Karsruhe, 1983, pp. 982–988.
Fowler,R.F., Little,J.J., Automatic Extraction of Irregular Digital Terrain Models, Computer Graphics, 13, 1979, pp. 199–207.
Gomez,D., Guzman, Digital Model for Three Dimensional Surface Representation, Geo-Processing, 1, 1979, pp. 53–70.
Kirkpatrick,D.G., Optimal Search in Planar Subdivisions, SIAM J. Computing, 12, 1, 1983, pp. 28–35.
Meagher,D., Geometric Modeling Using Octree Encoding, Computer Graphics and Image Processing, 19, 2, 1982, pp. 129–147.
Preparata,F.P., Shamos,M.I., Computational Geometry: An Introduction, Springer Verlag, 1985.
Samet,H., The Quadtree and Related Hierarchical Data Structures, A.C.M. Computing Surveys, 16, 2, 1984, pp. 187–260.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Plenum Press, New York
About this chapter
Cite this chapter
De Floriani, L. (1988). A Triangle Based Data Structure For Multiresolution Surface Representation. In: Cantoni, V., Di Gesù, V., Levialdi, S. (eds) Image Analysis and Processing II. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1007-5_30
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1007-5_30
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8289-1
Online ISBN: 978-1-4613-1007-5
eBook Packages: Springer Book Archive