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Volumn 118, Issue 2, 2008, Pages 213-231

On the estimation of intrinsic volume densities of stationary random closed sets

Author keywords

Boolean model; Euler Poincar characteristic; Intrinsic volumes; Positive reach; Random closed set

Indexed keywords

APPROXIMATION THEORY; BOOLEAN ALGEBRA; EULER EQUATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; REGRESSION ANALYSIS;

EID: 37249055424     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2007.04.004     Document Type: Article
Times cited : (15)

References (19)
  • 3
    • 33646018959 scopus 로고    scopus 로고
    • A new algorithmic approach to the computation of Minkowski functionals of polyconvex sets
    • Klenk S., Schmidt V., and Spodarev E. A new algorithmic approach to the computation of Minkowski functionals of polyconvex sets. Comput. Geom. 34 (2006) 127-148
    • (2006) Comput. Geom. , vol.34 , pp. 127-148
    • Klenk, S.1    Schmidt, V.2    Spodarev, E.3
  • 5
    • 0034002522 scopus 로고    scopus 로고
    • An integral-geometric approach for the Euler-Poincaré characteristic of spatial images
    • Nagel W., Ohser J., and Pischang K. An integral-geometric approach for the Euler-Poincaré characteristic of spatial images. J. Microsc. 198 (2000) 54-62
    • (2000) J. Microsc. , vol.198 , pp. 54-62
    • Nagel, W.1    Ohser, J.2    Pischang, K.3
  • 8
    • 7444253840 scopus 로고    scopus 로고
    • On estimation of the Euler number by projections of thin slabs
    • Rataj J. On estimation of the Euler number by projections of thin slabs. Adv. Appl. Prob. 36 (2004) 715-724
    • (2004) Adv. Appl. Prob. , vol.36 , pp. 715-724
    • Rataj, J.1
  • 9
    • 37249019226 scopus 로고    scopus 로고
    • Estimation of intrinsic volumes from parallel neighbourhoods
    • Rataj J. Estimation of intrinsic volumes from parallel neighbourhoods. Rend. Circ. Mat. Palermo, Ser. II 77 Suppl. (2006) 553-563
    • (2006) Rend. Circ. Mat. Palermo, Ser. II , vol.77 , Issue.SUPPL , pp. 553-563
    • Rataj, J.1
  • 10
    • 18044403264 scopus 로고    scopus 로고
    • Curvatures and currents for unions of sets with positive reach, II
    • Rataj J., and Zähle M. Curvatures and currents for unions of sets with positive reach, II. Ann. Glob. Anal. Geom. 20 (2001) 1-21
    • (2001) Ann. Glob. Anal. Geom. , vol.20 , pp. 1-21
    • Rataj, J.1    Zähle, M.2
  • 11
    • 17744399211 scopus 로고    scopus 로고
    • Joint estimators for the specific intrinsic volumes of stationary random sets
    • Schmidt V., and Spodarev E. Joint estimators for the specific intrinsic volumes of stationary random sets. Stochastic Process. Appl. 115 (2005) 959-981
    • (2005) Stochastic Process. Appl. , vol.115 , pp. 959-981
    • Schmidt, V.1    Spodarev, E.2
  • 12
    • 0000844336 scopus 로고
    • Parallelmengen mit Vielfachheit und Steiner-Formeln
    • Schneider R. Parallelmengen mit Vielfachheit und Steiner-Formeln. Geom. Dedicata 9 (1980) 111-127
    • (1980) Geom. Dedicata , vol.9 , pp. 111-127
    • Schneider, R.1
  • 15
    • 33646076020 scopus 로고    scopus 로고
    • On the local connectivity number of stationary random closed sets
    • Ronse C., Najman L., and Decenciere E. (Eds), Springer, Dordrecht
    • Spodarev E., and Schmidt V. On the local connectivity number of stationary random closed sets. In: Ronse C., Najman L., and Decenciere E. (Eds). Mathematical Morphology: 40 Years On (Proc. Conf.) (2005), Springer, Dordrecht 343-354
    • (2005) Mathematical Morphology: 40 Years On (Proc. Conf.) , pp. 343-354
    • Spodarev, E.1    Schmidt, V.2
  • 17
    • 0035270617 scopus 로고    scopus 로고
    • Densities of mixed volumes for Boolean models
    • Weil W. Densities of mixed volumes for Boolean models. Adv. Appl. Prob. 33 (2001) 39-60
    • (2001) Adv. Appl. Prob. , vol.33 , pp. 39-60
    • Weil, W.1
  • 18
    • 0000182794 scopus 로고
    • Integral and current representation of Federer's curvature measures
    • Zähle M. Integral and current representation of Federer's curvature measures. Arch. Math. 46 (1986) 155-171
    • (1986) Arch. Math. , vol.46 , pp. 155-171
    • Zähle, M.1
  • 19
    • 0000112219 scopus 로고
    • Curvatures and currents for unions of sets with positive reach
    • Zähle M. Curvatures and currents for unions of sets with positive reach. Geom. Dedicata 23 (1987) 111-127
    • (1987) Geom. Dedicata , vol.23 , pp. 111-127
    • Zähle, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.