The Boolean Model: from Matheron till today
暂无分享,去创建一个
[1] Daniel A. Klain,et al. Introduction to Geometric Probability , 1997 .
[2] S. Chiu. Limit theorems for the time of completion of Johnson-Mehl tessellations , 1995, Advances in Applied Probability.
[3] W. Kendall,et al. Quermass-interaction processes: conditions for stability , 1999, Advances in Applied Probability.
[4] über Treffzahlwahrscheinlichkeiten im Eikörperfeld , 1968 .
[5] G. Matheron. Random Sets and Integral Geometry , 1976 .
[6] Klaus Mecke,et al. Additivity, Convexity, and Beyond: Applications of Minkowski Functionals in Statistical Physics , 2000 .
[7] Exact Moments of Curvature Measures in the Boolean Model , 2001 .
[8] A. Baddeley,et al. Nearest-Neighbour Markov Point Processes and Random Sets , 1989 .
[9] S. Torquato,et al. Random Heterogeneous Materials: Microstructure and Macroscopic Properties , 2005 .
[10] K R Mecke,et al. Euler-Poincaré characteristics of classes of disordered media. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[11] K. Mecke,et al. Dynamics ofStructure Formation in Thin Liquid Films: A Special Spatial Analysis , 2000 .
[12] Dietrich Stoyan,et al. Stereology for pores in wheat bread: statistical analyses for the Boolean model by serial sections , 1991 .
[13] L. Heinrich. Asymptotic properties of minimum contrast estimators for parameters of boolean models , 1993 .
[14] W. Weil. Iterations of translative integral formulae and non-isotropic Poisson processes of particles , 1990 .
[15] P-M König,et al. Morphological thermodynamics of fluids: shape dependence of free energies. , 2004, Physical review letters.
[16] S. Herminghaus,et al. Thin liquid polymer films rupture via defects , 1998 .
[17] Dominique Jeulin,et al. Mechanics of Random and Multiscale Microstructures , 2001, International Centre for Mechanical Sciences.
[18] Kernel estimation of the diameter distribution in boolean models with spherical grains , 2000 .
[19] S. Redner,et al. Introduction To Percolation Theory , 2018 .
[20] Albrecht M. Kellerer,et al. On the number of clumps resulting from the overlap of randomly placed figures in a plane , 1983, Journal of Applied Probability.
[21] K. Mecke,et al. Reconstructing complex materials via effective grain shapes. , 2003, Physical review letters.
[22] T. Buchert,et al. Robust Morphological Measures for Large-Scale Structure in the Universe , 1993 .
[23] Torkel Erhardsson. Refined distributional approximations for the uncovered set in the Johnson-Mehl model , 2001 .
[24] D. Aldous. Probability Approximations via the Poisson Clumping Heuristic , 1988 .
[25] I. Molchanov. Statistics of the Boolean Model for Practitioners and Mathematicians , 1997 .
[26] Dominique Jeulin,et al. Spatial Statistics and Micromechanics of Materials , 2002 .
[27] L. Santaló. Integral geometry and geometric probability , 1976 .
[28] Christoph H. Arns,et al. Characterising the Morphology of Disordered Materials , 2002 .
[29] R. E. Miles. Estimating aggregate and overall characteristics from thick sections by transmission microscopy , 1976 .
[30] Klaus Mecke,et al. Morphological Model for Colloidal Suspensions , 2001 .
[31] Lothar Heinrich,et al. On existence and mixing properties of germ-grain models , 1992 .
[32] S. Torquato. Random Heterogeneous Materials , 2002 .
[33] Stefano Longhi. Spiral waves in optical parametric oscillators , 2001 .
[34] Wolfgang Weil. Densities of mixed volumes for Boolean models , 2001 .
[35] R. Schneider,et al. Parallelmengen mit Vielfachheit und Steiner-Formeln , 1980 .
[36] Peter J. Diggle,et al. Binary Mosaics and the Spatial Pattern of Heather , 1981 .
[37] John S. Rowlinson,et al. New Model for the Study of Liquid–Vapor Phase Transitions , 1970 .
[38] G. Matheron. Éléments pour une théorie des milieux poreux , 1967 .
[39] Klaus Mecke,et al. Strong dependence of percolation thresholds on polydispersity , 2002 .
[40] D. Jeulin. On some weighted Boolean models , 1997 .
[41] Jean Serra,et al. Image Analysis and Mathematical Morphology , 1983 .
[42] K. Voss. Discrete Images, Objects, and Functions in Zn , 1993 .
[43] Klaus Mecke,et al. Simulating stochastic geometries: morphology of overlapping grains , 2002 .
[44] K. Mecke,et al. Statistical morphology of random interfaces in microemulsions , 1995 .
[45] B. Ripley,et al. Introduction to the Theory of Coverage Processes. , 1989 .
[46] R. Schneider. Convex Bodies: The Brunn–Minkowski Theory: Minkowski addition , 1993 .
[47] Wolfgang Weil,et al. Expectation formulas and isoperimetric properties for non‐isotropic Boolean models , 1988 .
[48] Masao Doi,et al. A New Variational Approach to the Diffusion and the Flow Problem in Porous Media , 1976 .
[49] K. Mecke. A morphological model for complex fluids , 1996 .
[50] A note on robust density estimation for spatial point patterns , 1977 .
[51] Christoph H. Arns,et al. Characterisation of irregular spatial structures by parallel sets and integral geometric measures , 2004 .
[52] A. Baddeley,et al. Area-interaction point processes , 1993 .
[53] Dominique Jeulin,et al. Caractéristiques morphologiques des constituants et comportement à la limite élastique d'un matériau biphasé Fe/Ag , 1989 .
[54] van Marie-Colette Lieshout,et al. Quermass-interaction processes , 1996 .
[55] B. Hambly. Fractals, random shapes, and point fields , 1994 .
[56] Hans-Jörg Vogel,et al. Topological Characterization of Porous Media , 2002 .
[57] D. Stoyan. Random Sets: Models and Statistics , 1998 .
[58] Klaus Mecke,et al. Euler characteristic and related measures for random geometric sets , 1991 .
[59] Mecke. Morphological characterization of patterns in reaction-diffusion systems. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[60] van Marie-Colette Lieshout,et al. Markov Point Processes and Their Applications , 2000 .
[61] G. Matheron. Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniens , 1972, Advances in Applied Probability.
[62] The shape of parallel surfaces: porous media, fluctuating interfaces and complex fluids , 2002 .
[63] Ilya Molchanov. A limit theorem for scaled vacancies of the Boolean model , 1994 .
[64] Klaus Mecke,et al. Statistical Physics and Spatial Statistics , 2000 .
[65] K. Mecke,et al. Morphological fluctuations of large-scale structure: The PSCz survey , 2001 .
[66] Christian Lantuéjoul,et al. Geostatistical Simulation: Models and Algorithms , 2001 .