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ORIGINAL ARTICLE

Poisson Voronoï tiling for finding clusters in spatial point patterns

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Pages 239-248 | Received 11 Jul 2005, Published online: 16 Aug 2006

References

  • Allard , D. and Fraley , C. 1997 . Nonparametric maximum likelihood estimation of features in spatial point processes using Voronoi tessellation . Journal of the American Statistical Association , 92 : 1485 – 1493 .
  • Bose , S. and O'Sullivan , F. 1997 . A region-based segmentation method for multichannel image data . Journal of the American Statistical Association , 92 : 92 – 106 .
  • Byers , S. D. and Raftery , A. E. 1998 . Nearest-neighbor clutter removal for estimating features in spatial point processes . Journal of the American Statistical Association , 93 : 577 – 584 .
  • Byers , S. D. and Raftery , A. E. 2002 . “ Bayesian estimation and segmentation of spatial point processes using Voronoi tilings ” . In Spatial cluster modelling , Edited by: Lawson , A. B. and Denison , D. G. T. 109 – 121 . Boca Raton, FL : Chapman & Hall/CRC .
  • Cho , V. H. K. 2004 . Investigations for segment-based classification of satellite images for the purpose of forest mapping . Allgemeine Forst- und Jagdzeitung , 175 : 94 – 100 .
  • Christensen , O. F. 2004 . Monte Carlo maximum likelihood in model-based geostatistics . Journal of Computational and Graphical Statistics , 13 : 704 – 718 .
  • Csillag , F. and Kabos , S. 2002 . Wavelets, boundaries, and the spatial analysis of landscape pattern . Ecoscience , 9 : 177 – 190 .
  • Dass , S. C. and Nair , V. N. 2003 . Edge detection, spatial smoothing, and image reconstruction with partially observed multivariate data . Journal of the American Statistical Association , 98 : 77 – 89 .
  • Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . Maximum likelihood from incomplete data via the EM algorithm . Journal of the Royal Statistical Society Series B , 39 : 1 – 38 .
  • Denison , D. G. T. , Holmes , C. C. , Mallick , B. K. and Smith , A. F. M. 2002 . Bayesian methods for nonlinear classification and regression , New York : John Wiley & Sons .
  • Diggle , P. J. 1983 . Statistical analysis of spatial point patterns , New York : Academic Press .
  • Ferreia , J. T. A. S. , Denison , D. G. T. and Holmes , C. C. 2002 . “ Partition modelling ” . In Spatial cluster modelling , Edited by: Lawson , A. B. and Denison , D. G. T. 125 – 145 . Boca Raton, FL : Chapman & Hall/CRC .
  • Fraley , C. and Raftery , A. E. 1998 . How many clusters? Which clustering method? Answers via model-based cluster analysis . Computer Journal , 41 : 314 – 327 .
  • Fraley , C. and Raftery , A. E. 2002 . Model-based clustering, discriminant analysis, and density estimation . Journal of the American Statistical Association , 97 : 611 – 631 .
  • Glasby , C. A. and Horgan , G. W. 1995 . Image analysis for the biological sciences , Chichester : Wiley .
  • Godtliebsen , F. and Chu , C. K. 1995 . Estimation of the number of true gray levels, their values, and relative frequencies in a noisy image . Journal of the American Statistical Association , 90 : 890 – 899 .
  • Gougeon , F. A. & Leckie , D. G. (2003) . Forest information extraction from high spatial resolution images using an individual tree crown approach (Report No. BC-X-396). Canadian Forest Service Information Report, 1–25.
  • Hartigan , J. A. 1975 . Clustering algorithms , New York : Wiley .
  • Hill , R. A. 1999 . Image segmentation for humid tropical forest classification in Landsat TM data . International Journal of Remote Sensing , 20 : 1039 – 1044 .
  • Hinde , A. L. and Miles , R. E. 1980 . Monte Carlo estimates of the distribution of the random polygons of the Voronoï tessellation with respect to a Poisson process . Journal of Statistical Computation and Simulation , 10 : 205 – 223 .
  • Holmgren , P. , Thuresson , T. and Holm , S. 1997 . Estimating forest characteristics in scanned aerial photographs with respect to requirements for economic forest management planning . Scandinavian Journal of Forest Research , 12 : 189 – 199 .
  • Kaufman , L. and Rousseeuw , P. J. 1990 . Finding groups in data. An introduction to cluster analysis , New York : Wiley .
  • Lawson , A. B. and Denison , D. G. T. 2002 . Spatial cluster modelling , Boca Raton, FL : Chapman & Hall/CRC .
  • Leckie , D. , Gougeon , F. , Hill , D. , Quinn , R. , Armstrong , L. and Shreenan , R. 2003 . Combined high-density lidar and multispectral imagery for individual tree crown analysis . Canadian Journal of Remote Sensing , 29 : 633 – 649 .
  • Lee , T. C. M. 2000 . A minimum description length-based image segmentation procedure, and its comparison with a cross-validation-based segmentation procedure . Journal of the American Statistical Association , 95 : 259 – 270 .
  • Lefsky , M. A. and Spies , T. A. 2001 . An evaluation of alternate remote sensing products for forest inventory, monitoring, and mapping of Douglas-fir forests in western Oregon . Canadian Journal of Forest Research , 31 : 78 – 87 .
  • Lovell , J. L. , Jupp , D. L. B. , Culvenor , D. S. and Coops , N. C. 2003 . Using airborne and ground-based ranging lidar to measure canopy structure in Australian forests . Canadian Journal of Remote Sensing , 29 : 607 – 622 .
  • Magnussen , S. and Wulder , M. A. 2004 . “ Clustering of point patterns derived from LIDAR canopy height data ” . In 36 Part 8/W2 , Edited by: Thies , M. , Koch , B. and Weinacker , H. 183 – 186 . Freiburg : Institute for Forest Growth, Department of Remote Sensing and Landscape Information Systems, University of Freiburg .
  • Maltamo , M. , Eerikainen , K. , Pitkanen , J. , Hyyppa , J. and Vehmas , M. 2004 . Estimation of timber volume and stem density based on scanning laser altimetry and expected tree size distribution functions . Remote Sensing of Environment , 90 : 319 – 330 .
  • Metternicht , G. I. and Fermont , A. 1998 . Estimating surface features by linear mixture modeling . Remote Sensing of Environment , 64 : 254 – 265 .
  • Milligan , G. W. and Cooper , M. C. 1985 . An examination of procedures for determining the number of clusters in a data set . Psychometrika , 50 : 159 – 179 .
  • M⊘ller , J. 1994 . Lectures on random Voronoi tessellations , New York : Springer .
  • Næsset , E. 2004 . Practical large-scale forest stand inventory using a small-footprint airborne scanning laser . Scandinavian Journal of Forest Research , 19 : 164 – 179 .
  • Okabe , A. , Boots , B. , Sugihara , K. & Chiu , S. N. (2000) . Spatial tessellations. Concepts and applications of Voronoï diagrams (2nd ed) . Chicester : Wiley.
  • Peña , D. and Prieto , F. J. 2002 . Cluster identification using projections . Journal of the American Statistical Association , 96 : 1433 – 1445 .
  • Popescu , S. C. , Wynne , R. H. and Nelson , R. F. 2003 . Measuring individual tree crown diameter with lidar and assessing its influence on estimating forest volume and biomass . Canadian Journal of Remote Sensing , 29 : 564 – 577 .
  • Pratt , W. K. 2001 . Digital image processing , New York : John Wiley & Sons .
  • Ripley , B. D. 1985 . Statistics, images, and pattern recognition . Canadian Journal of Statistics , 14 : 83 – 111 .
  • Rudemo , M. , Skovgaard , I. & Stryhn , H. ( 1990 ). Maximum likelihood estimation of curves in images ( Report No. 90-4 ), (pp. 1 – 40 ). Copenhagen : Dept. Math. Phys., Royal Vet. Agric. Univ .
  • St-Onge , B. A. and Cavayas , F. 1997 . Automated forest structure mapping from high resolution imagery based on directional semivariogram estimates . Remote Sensing of Environment , 61 : 82 – 95 .
  • St-Onge , B. , Jumelet , J. , Cobello , M. and Vega , C. 2004 . Measuring individual tree height using a combination of stereo photogrammetry and LiDAR . Canadian Journal of Forest Research , 34 : 2122 – 2130 .
  • Skiena , S. 1990 . Implementing discrete mathematics , Redwood, CA : Addison-Wesley .
  • Upton , G. J. G. and Fingleton , B. 1985 . Spatial data analysis by example: Vol I Point patterns and quantitative data , Chichester : Wiley .
  • Wang , Y. 1998 . Change curve estimation via Wavelets . Journal of the American Statistical Association , 93 : 163 – 172 .
  • Wikle , C. K. 2002 . “ Spatial modelling of count data: A case study in modelling breeding bird survey data on large spatial domains ” . In Spatial cluster modelling , Edited by: Lawson , A. B. and Denison , D. G. T. 199 – 209 . Boca Raton, FL : Chapman & Hall/CRC .
  • Wulder , M. A. and Seemann , D. 2003 . Forest inventory height update through the integration of lidar data with segmented Landsat imagery . Canadian Journal of Remote Sensing , 29 : 536 – 543 .
  • Yu , X. W. , Hyyppa , J. , Kaartinen , H. and Maltamo , M. 2004 . Automatic detection of harvested trees and determination of forest growth using airborne laser scanning . Remote Sensing of Environment , 90 : 451 – 462 .

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