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Publikationen


Papers

  • Nagel, W.: Stereology. Invited paper for: Kendall, W.S., Molchanov, I. (eds.): New Perspectives in Stochastic Geometry. Oxford University Press. Appears in November 2008.
  • Mecke, J., Nagel, W. and Weiß , V.: A global construction of homogeneous random planar tessellations that are stable under iteration. Stochastics. An International Journal of Probability and Stochastic Processes 80 (2008), 51-67.
  • Mecke, J., Nagel, W. and Weiß , V.: The iteration of random tessellations and a construction of a homogeneous process of cell divisions. Advances in Applied Probability (SGSA) 40 (2008), 49-59.
  • Nagel, W. and Weiß , V.: Mean values for homogeneous STIT tessellations in 3D. Image Analysis & Stereology 27 (2008), 29-37.
  • Mecke, J., Nagel, W. and Weiss, V.: Length distributions of edges in planar stationary and isotropic STIT tessellations. Journal of Contemporary Mathematical Analysis 42 (2007), 28-43.
  • Nagel, W., Ohser, J. and Schladitz, K.: A digitization of the Crofton formula for observations on lattices. In: Lechnerova, R., Saxl, I., Benes, V. (eds): S4G, International Conf. on Stereology, Spatial Statistics and Stochastic Geometry , Prague 2006, 103-109.
  • Schladitz, K., Ohser J. and Nagel W.: Measurement of Intrinsic Volumes of Sets Observed on Lattices. In: Kuba, A., Nyul, L. G., Palagyi, K. (eds.): 13th International Conference on Discrete Geometry for Computer Imagery . Springer 2006. 247-258.
  • Nagel, W. and Weiß , V.: STIT tessellations in the plane. Rendiconti del Circolo Mathematico di Palermo , Serie II, Suppl. 77 (2006), 441-458.
  • Nagel, W. and Weiß , V.: Crack STIT tessellations: Characterization of stationary random tessellations stable with respect to iteration. Advances in Applied Probability 37 (2005), 859-883.
  • Nagel, W. and Weiß , V.: Crack STIT tessellations -- existence and uniqueness of tessellations that are stable with respect to iteration. Izvestiya Natsionalnoi Akademii Nauk Armenii. Matematika 39 (2004), 84-114. And also: Journal of Contemporary Mathematical Analysis 39 (2004), 62-84.
  • Nagel, W. and Weiß , V.: Limits of sequences of stationary planar tessellations. Advances in Applied Probability 35 (2003), 123-138.
  • Ohser, J., Nagel, W. and Schladitz, K.: The Euler number of discretized sets - surprising results in three dimensions. Image Analysis & Stereology 22 (2003), 11-19.
  • Ohser, J., Nagel, W. and Schladitz, K.: The Euler number of discretized sets - On the choice of adjacency in homogeneous lattices. In: Mecke, K.R., Stoyan, D. (eds): Morphology of Condensed Matter . Springer 2002. 275-298.
  • Nagel, W.: Stationary Models in Stochastic Geometry - Palm Distributions as Distributions of Typical Elements. An Approach Without Limits. In: Mecke, K.R., Stoyan, D. (eds): Statistical Physics and Spatial Statistics . Springer 2000. 22-35.
  • Nagel, W., Ohser, J. and Pischang, K.: An integral-geometric approach for the Euler-Poincar'e characteristic of spatial images. Journal of Microscopy 198 (2000), 54-62.
  • Weiß , V. and Nagel, W.: Interdependence of directional quantities of planar tessellations. Advances in Applied Probability 31 (1999), 664-678.
  • Ohser, J. and Nagel, W.: The estimation of the Euler-Poincar'e characteristic from observations on parallel sections. Journal of Microscopy 184 (1996), 117-126.
  • Weiß , V. and Nagel, W.: Second-order stereology for planar fibre processes. Advances in Applied Probability 26 (1994), 906-918.
  • Nagel, W.: Orientation dependent chord length distributions characterize convex polygons. Advances in Applied Probability 30 (1993), 730-736.
  • Ambartzumjan, R. V. and Nagel, W.: A disturbed Voronoi model in the plane. Commun. Statist. -- Stochastic Models 6 (1990), 525-540.
  • Nagel, W.: On the covariance of the boundary of a set. Acta Stereologica 9 (1990), 91-95.
  • Nagel, W.: Geometric covariograms for pairs of parallel j-planes. In: Hübler, A., Nagel, W., Ripley, B. D., Werner, G. (eds): Geobild '89 , 141-146, Akademie-Verlag Berlin, 1989.
  • Nagel, W.and Ohser, J.: On the stereological estimation of weighted sphere diameter distributions. Acta Stereologica 7 (1988), 17-31.
  • Nagel, W.: Morphologische Mengenoperationen und Integralgeometrie. Autbild 86/2, 56-75, FSU Jena, 1986.
  • Nagel, W. and Voss, K.: Stereologie -- Einführung und Formelsammlung. Autbild 85/3, 113-179, FSU Jena, 1985.
  • Nagel, W.: Weighted size distributions for stationary grain models. In: Nagel, W. (ed): Geobild '85 , 118-125, FSU Jena, 1985.
  • Blödner, R., Mühlig, P. and Nagel, W.: The comparison by simulation of solutions of Wicksell's corpuscle problem. J. Microscopy 135 (1984), 61-74.
  • Nagel, W.: Dünne Schnitte von stationären räumlichen Faserprozessen. Math. Operationsforsch. Statist. Ser. Statistics 14 (1983), 569-576.
  • Nagel, S. and Nagel, W.: Versuchsplanung zu einer Familie von gestauchten Schätzfunktionen im linearen Regressionsmodell. Math. Operationsforsch. Statist. Ser. Statistics 13 (1982), 521-530.
  • Bandemer, H. and Nagel, W.: Parameter estimation in linear regression models with weak and fuzzy prior knowledge. Math. Operationsforsch. Statist. Ser. Statistics 12 (1981), 297-305.
  • Mecke, J. and Nagel, W.: Stationäre räumliche Faserprozesse und ihre Schnittzahlrosen. Elektron. Inf.verarb. Kybern. 16 (1980), 475-483.
  • Nagel,W.: Vortestschätzungen -- eine Klasse nichtlinearer Schätzfunktionen im linearen Regressionsmodell. Freiberger Forschungshefte D128 (1980), 35-55.
  • Nagel, W.: über einige Tests zur Auswahl einer Schätzfunktion im linearen Regressionsmodell. Freiberger Forschungshefte D117 (1979), 57-66.

Preprints

  • Mecke, J./ Nagel, W./ Weiss, V.: The iteration of random tessellations and a construction of a homogeneous process of cell divisions. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/03/07, FSU Jena (2007).
  • Mecke, J./ Nagel, W./ Weiss, V.: A global construction of homogeneous planar STIT tessellations. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/01/07, FSU Jena (2007).
  • Mecke, J./ Nagel, W./ Weiss, V.: Length distributions of edges in planar stationary and isotropic STIT tessellations. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/10/06, FSU Jena (2006).
  • Nagel, W./ Weiss, V.: A planar crack tessellation which is stable with respect to iteration. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/12/04, FSU Jena (2004).
  • Ohser,J./Nagel, W./Schladitz, K.: The Euler number of discretised sets - surprising results in three dimensions. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/03/, FSU Jena (2003), 31 Seiten. (Ausführliche Fassung mit Beweisen zur IAS-Publikation).
  • Ohser,J./Nagel, W./Schladitz, K.: The Euler number of discretized sets - On the choice of adjacency in homogeneous lattices. Berichte des Fraunhofer ITWM Nr. 33 (2002).
  • Nagel, W./ Ohser, J./ Pischang, K.: An integral-geometric approach for the Euler-Poinca'e characteristic of spatial images. Jenaer Schriften zur Mathematik und Informatik, Math/Inf/99/10, FSU Jena (1999).
  • Nagel, W.: A proof of the theorem: Orientation-dependent chord length distributions characterize convex polygons. Fo.-erg. der mathematischen Fakultät 93/2 (1993).
  • Nagel, W.: The uniqueness of a planar convex polygon when its set covariance is given. Fo.-erg. d. FSU Jena, N/89/17 (1989).
  • Mecke, J./ Nagel, W.: Reconstruction of planar line measures from section measures. Fo.-erg. d. FSU Jena, N/84/10 (1984).
  • Nagel, W.: On the stereology for the distributions of line processes in the plane. Fo.-erg. d. FSU Jena, N/83/13 (1983).

Books (Coauthor)

  • Bandemer. H. et al.: Theorie und Anwendung der optimalen Versuchsplanung I. Akademie-Verlag Berlin, 1977.

Edited

  • Translation of: Ambartzumjan, R. V.: Geometrische Maße und Prozesse (from Russian). Edition of this book together with: Stoyan/Mecke: Stochatische Geometrie -- eine Einführung. Akademie Verlag Berlin 1993.
  • Eckhardt, H.-U./ Hübler, A./ Nagel, W./ Werner, G. (eds.): Geobild '91. Akademie-Verlag Berlin, 1991.
  • Hübler, A./ Nagel, W./ Ripley, B. D./ Werner, G. (eds): Geobild '89. Akademie-Verlag Berlin 1989.
  • Nagel, W. (ed.): Geobild '85. Proceedings of the Workshop on Geometrical Problems of Image Processing. FSU Jena, 1985.