Geometric Covariograms, Indicator Variograms and Boundaries of Planar Closed Sets

Xavier Emery1, Christian Lantuéjoul2
1Department of Mining Engineering, University of Chile, Santiago, Chile
2Centre de Géosciences, MINES ParisTech, Fontainebleau, France

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Tài liệu tham khảo

Adler RJ, Taylor JE (2007) Random fields and geometry. Springer, New York

Chilès JP, Delfiner P (1999) Geostatistics: modeling spatial uncertainty. Wiley, New York

Emery X (2010) On the existence of mosaic and indicator random fields with spherical, circular and triangular variograms. Math Geosci 42(8):969–984

Jeulin D (2000) Random texture models for material structures. Stat Comput 10(2):121–132

Krantz SG, Parks HR (2002) The implicit function theorem: history, theory and applications. Birkhaüser, Boston

Lantuéjoul C (2002) Geostatistical simulation: models and algorithms. Springer, Berlin

Mandelbrot B (2004) Fractal and chaos: the Mandelbrot set and beyond. Springer, New York

Matheron G (1967) Eléments pour une théorie des milieux poreux (Elements for a theory of porous media). Masson, Paris

Matheron G (1971) The theory of regionalized variables and its applications. Ecole Nationale Supérieure des Mines de Paris, Fontainebleau

Matheron G (1975) Random sets and integral geometry. Wiley, New York

Molchanov I (2005) Theory of random sets. Springer, London

Munkres J (2000) Topology, 2nd edn. Prentice Hall, Upper Saddle River

Omre H, Tjelmeland H (1997) Petroleum geostatistics. In: Baafi EY, Schofield NA (eds) Geostatistics Wollongong’96. Kluwer, Dordrecht, pp 41–52

Serra J (1982) Image analysis and mathematical morphology. Academic Press, London

Stoyan D, Kendall WS, Mecke J (1995) Stochastic geometry and its applications. Wiley, New York