On the relationship between the 0-cell and the typical cell of a stationary random tessellation

Pattern Recognition

Volumn 32, Issue 9, 1999, Pages 1645-1648

  Mecke, J ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

0 cell; Poisson hyperplane tessellation; Random tessellation; Stochasting ordering; Typical cell; Volume weighting

Indexed keywords

COMPUTATIONAL GEOMETRY; GRAPH THEORY; POISSON DISTRIBUTION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; SET THEORY;

POISSON HYPERPLANE TESSELLATION; RANDOM TESSELLATION; STOCHASTING ORDERING; TYPICAL CELL; VOLUME WEIGHTING;

PATTERN RECOGNITION;

EID: 0032661715     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-3203(99)00026-6     Document Type: Article

References (9)

1. [1] R.E. Miles, Random tessellations, in: S. Kotz, N.L. Johnson (Eds.), Encyclopedia of Statistical Sciences, Vol. 7, Wiley, New York, 1986, pp. 567-572.
2. [2] D. Stoyan, W.S. Kendall, J. Mecke, Stochastic Geometry and its Applications, Wiley, New York, 1995.
3. d, Adv. Appl. Probab. 21 (1989) 37-73.
4. [4] G. Matheron, Random Sets and Integral Geometry, Wiley, New York, 1975.
5. [5] J. Mecke, R. Schneider, D. Stoyan, W. Weil, Stochastische Geometrie, Birkhäuser, Basel, 1990.
6. [6] R.E. Miles, A synopsis of Poisson flats in Euclidean spaces, in: E.F. Harding, D.G. Kendall (Eds.), Stochastic Geometry, Wiley, New York, 1974, pp. 202-227.
7. [7] R. Cowan, Properties of ergodic random mosaic processes, Math. Nachr. 97 (1980) 89-102.
8. [8] J. Mecke, Palm methods for stationary random mosaics, in: R.V. Ambartzumian (Ed.), Combinatorial Principles in Stochastic Geometry, Armenian Academy of Scientific Publishing House, Erevan, 1980, pp. 124-132.
9. [9] R.V. Ambartzumian, Factorization Calculus and Geometric Probability, Cambridge University Press, Cambridge, 1990.