The role of tessellation methods in the analysis of three-dimensional spatial point patterns

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 1, Issue 2, 1996, Pages 141-153

  Mugglestone, Moira A ^a  

^a ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

Bivariate; Confocal laser scanning microscopy; Dirichlet tessellation; L. taraxacoides; Leontodon hispidus; Nearest neighbor; Parental genome separation; Random labelling; Spatial point pattern; Three dimensional

Indexed keywords

EID: 6544285838     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.2307/1400362     Document Type: Article

References (14)

1. Baddeley, A. J., Howard, C. V., Boyde, A., and Reid, S. (1987), "Three-Dimensional Analysis of the Spatial Distribution of Particles Using the Tandem-Scanning Reflected Light Microscope," Acta Stereologica, 6, Supp. II, 87-100.
2. Baddeley, A. J., Moyeed, R. A., Howard, C. V., and Boyde, A. (1993), "Analysis of a Three-Dimensional Point Pattern With Replication," Applied Statistics, 42, 641-668.
3. Becker, R. A., Chambers, J. M., and Wilks, A. R. (1988), The New S Language, Pacific Grove, CA: Wadsworth and Brooks/Cole.
4. Bennett, M. D. (1984), "Nuclear architecture and its manipulation," in Gene Manipulation in Plant Improvement, ed. J. P. Gustafson, New York: Plenum Press, pp. 469-502.
5. Diggle, P. J. (1983), Statistical Analysis of Spatial Point Patterns, London: Academic Press.
6. Finch, R. A., Smith, J. B., and Bennett, M. D. (1981), "Hordeum and Secale Mitotic Genomes Lie Apart in a Hybrid," Journal of Cell Science, 52, 391-403.
7. Friedman, J. H., and Rafsky, L. C. (1979), "Multivariate Generalizations of the Wald-Wolfowitz and Smirnov Two-Sample Tests," Annals of Statistics, 7, 697-717.
8. _ (1981), "Graphics for the Multivariate Two-Sample Problem (With Discussion), Journal of the American Statistical Association, 76, 277-295.
9. Inoué, S. (1990), "Foundations of Confocal Scanned Imaging in Light Microscopy," In Handbook of Biological Confocal Microscopy, ed. J. B. Pawley, New York: Plenum Press, pp. 1-14.
10. König, D., Carvajal-Gonzalez, S., Downs, A. M., Vassy, J., and Rigaut, J. P. (1991), "Modelling and Analysis of 3-D Arrangements of Particles by Point Processes With Examples of Application to Biological Data Obtained by Confocal Scanning Light Microscopy," Journal of Microscopy, 161, 405-433.
11. Lotwick, H. W., and Silverman, B. S. (1982), "Methods for Analysing Spatial Processes of Several Types of Points," Journal of the Royal Statistical Society, Ser. B, 44, 406-413.
12. Okabe, A., Boots, B., and Sugihara, K. (1992), Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, New York: John Wiley.
13. Ripley, B. D. (1981), Spatial Statistics, New York: John Wiley.
14. Schwarzacher-Robinson, T., Finch, R. A., Smith, J. B., and Bennett, M. D. (1987), "Genotypic Control of Centromere Positions of Parental Genomes in Hordeum x Secale Hybrid Metaphases," Journal of Cell Science, 87, 291-304.