A study on N-dimensional quad-tree decomposition

  • Yi, Cheon-Hee (Dept of Electronic Engineering, Chong-ju University) ;
  • Yi, Jae-Young (Dept of Electronic Engineering, Chong-ju University)
  • 발행 : 2009.03.31

초록

We have examined the problem of the number of quad-tree blocks that an n-dimensional rectangle will be decomposed into on the average. the contribution of this paper are both practical and theoretical. In this paper, we develops the overlapping multi-scale models and the region quad-tree models which is useful in computer graphics animation, image processing, pattern recognition and also for modeling three dimensional objects. These models, which represent something of a conceptual departure from other models developed for multi-scale framework were developed with the specific interest of producing smooth estimates.

키워드

참고문헌

  1. R. Daley, Atmosphic data analysis, Cambridge university press, Newyork, 1991.
  2. H. Samet, The Design and analysis of spatial data structures. Addison-Wesley, 1990.
  3. H. Samet, The Quad-tree and related hierachical data structures, ACM Computing Surveys 16, 2, 1984.
  4. C.A. Shaffer and H.Samet, optimal quad-tree construction algorithm and image processing 37, p402-419, March 1987. https://doi.org/10.1016/0734-189X(87)90045-4
  5. Curtis P. Kulovson and Michael Stonebraker. Segment indexes : Dynamic indexing techniques for multidimensional interval data. Proc. ACM SIGMOD, p.138-147, May 1991.
  6. Manish Arya, William Cody, christos Faloutsos, Joel Rechardson, and Arthur Toga. Qbism : Extending a dbms to support 3d medical images, Tenth Int. Conf. On Data Engineering, p.314-325, Feb. 1994.
  7. F. P. Preparata and M. I. Shamos, Computational Geometry. New york : Springer-verlag, 1985.
  8. S. K. Nandy, I. V. Ramakrishna, “Dual quad-tree representation for VLSI design,” 23rd design Automation Conference, p. 633-666, 1986.
  9. M. Bern and D. Eppstein. Mesh generation and optimal triangulation. In Euclidean Geometry and the computer, eds. D. Z. Du and F. Hwang, World Scientic, 1992.
  10. L. P. chew. Guaranted-quality triangular meshes. Tech. Rep. TR-89-983, Cornell university, 1989.
  11. J. Ruppert. A new and simple algorithm for quality 2-dimensional mesh generation 4th Symp. Discrete Algorithms p.83-92, 1993.
  12. E. A. Melissaratos and D.L Souvaine : Coping with inconsistencies : A new approach to produce quality triangulations of polygonal domains with holes. 8th Symp. Comput. Geom. p.202-211, 1992.
  13. F.T, Leigthon, M. Lepley, G.L. Miller, “Layouts for the shuffle-exchange graph based on the complex plane diagram.” SIAM J. A.C. G. DISC. Math. Vol.5, No.2, 1984.
  14. William R. Crum, Oscar Camara, and Derek L. G. Hill, “Generalized overlap measures for evaluation and validation in medical image analysis,” IEEE Trans, on Medical Imaging, Vol. 25, No. 11, 2006.
  15. M. Luettgen , A. S. willsky, “Likelihood calculation for a class of Multi-scale stochastic models, with application to texture discrimination.”, IEEE Trans. Image processing(4)#2, p.194-207, 1995.