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Markus Kiderlen

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  1. 2020
  2. Published

    Rearrangement and polarization. / Bianchi, Gabriele; Gardner, Richard J.; Gronchi, Paolo; Kiderlen, Markus.

    In: Advances in Mathematics, Vol. 374, 107380, 11.2020.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  3. Published

    Uniqueness of the measurement function in Crofton's formula. / Eriksen, Rikke; Kiderlen, Markus.

    In: Advances in Applied Mathematics, Vol. 116, 102004, 05.2020.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  4. Accepted/In press

    Asymptotic variance of Newton-Cotes quadratures based on randomized sampling points. / Stehr, Mads; Kiderlen, Markus.

    In: Advances in Applied Probbility, Vol. 52, No. 4, 2020.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  5. Accepted/In press

    Improving the Cavalieri estimator under non-equidistant sampling and dropouts. / Stehr, Mads; Kiderlen, Markus.

    In: Image Analysis & Stereology, 2020.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  6. 2018
  7. Published

    Dilation volumes of sets of finite perimeter. / Kiderlen, Markus; Rataj, Jan.

    In: Advances in Applied Probability, Vol. 50, No. 4, 01.12.2018, p. 1095-1118.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  8. Published

    Operations between functions. / Gardner, Richard; Kiderlen, Markus.

    In: Communications in Analysis and Geometry, Vol. 26, No. 4, 2018, p. 787-855.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  9. 2017
  10. Published

    Dilation volumes of sets of finite perimeter. / Kiderlen, Markus; Rataj, Jan.

    2017.

    Research output: Working paper › Research

  11. Published

    Rotation Invariant Valuations. / Kiderlen, Markus; Jensen, Eva B. Vedel.

    Tensor Valuations and Their Applications in Stochastic Geometry and Imaging. ed. / Eva B. Vedel Jensen; Markus Kiderlen. Vol. 2177 Springer, 2017. p. 185-212 (Lecture Notes in Mathematics, Vol. 2177).

    Research output: Contribution to book/anthology/report/proceeding › Book chapter › Research › peer-review

  12. Published

    Stereological estimation of mean particle volume tensors in R3 from vertical sections. / Kousholt, Astrid; Ziegel, Johanna; Kiderlen, Markus; Jensen, Eva B. Vedel.

    Tensor Valuations and Their Applications in Stochastic Geometry and Imaging . ed. / Eva B. Vedel Jensen; Markus Kiderlen. Vol. 2177 Springer, 2017. p. 423-434 (Lecture Notes in Mathematics, Vol. 2177).

    Research output: Contribution to book/anthology/report/proceeding › Book chapter › Research › peer-review

  13. Published

    Tensor Valuations and Their Applications in Stochastic Geometry and Imaging. / Kiderlen, Markus (Editor); Jensen, Eva B. Vedel (Editor).

    Springer, 2017. 460 p. (Lecture Notes in Mathematics, Vol. 2177).

    Research output: Book/anthology/dissertation/report › Anthology › Research › peer-review

  14. Published

    The Cavalieri estimator with unequal section spacing revisited. / Kiderlen, Markus; Dorph-Petersen, Karl-Anton.

    2017.

    Research output: Working paper › Research

  15. Published

    The Cavalieri estimator with unequal section spacing revisited. / Kiderlen, Markus; Dorph-Petersen, Karl Anton.

    In: Image Analysis and Stereology, Vol. 36, No. 2, 2017, p. 135-141.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  16. Published

    Voronoi-Based Estimation of Minkowski Tensors from Finite Point Samples. / Hug, Daniel; Kiderlen, Markus; Svane, Anne Marie.

    In: Discrete & Computational Geometry, Vol. 57, No. 3, 2017, p. 545-570.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  17. 2016
  18. Published

    Poster: Comparison of two global digital algorithms for Minkowski tensor estimation. / Christensen, Sabrina Tang; Kiderlen, Markus (Member of author collaboration).

    2016. Poster session presented at AU Workshop on Stochastic Geometry, Stereology and their Applications, Sønderborg, Denmark.

    Research output: Contribution to conference › Poster › Research

  19. Published

    Rotation Invariant Valuations. / Jensen, Eva B. Vedel; Kiderlen, Markus.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2016.

    Research output: Working paper › Research

  20. Published

    Comparison of two global digital algorithms for Minkowski tensor estimation. / Christensen, Sabrina Tang (Member of author collaboration); Kiderlen, Markus (Member of author collaboration).

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2016.

    Research output: Working paper › Research

  21. Published

    Reconstruction of convex bodies from surface tensors. / Kousholt, Astrid; Kiderlen, Markus.

    In: Advances in Applied Mathematics, Vol. 76, 2016, p. 1-33.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  22. Published

    Stereological estimation of mean particle volume tensors in R3 from vertical sections. / Kousholt, Astrid; Ziegel, Johanna; Kiderlen, Markus; Jensen, Eva B. Vedel.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2016.

    Research output: Working paper › Research

  23. Published

    Stereological estimation of mean particle volume tensors in R3 from vertical sections. / Kousholt, Astrid; Ziegel, Johanna F.; Kiderlen, Markus; Jensen, Eva B. Vedel.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2016.

    Research output: Working paper › Research

  24. 2015
  25. Published

    Operations Between Functions. / Gardner, Richard J.; Kiderlen, Markus.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2015.

    Research output: Working paper › Research

  26. Published

    Reconstruction of convex bodies from surface tensors. / Kousholt, Astrid; Kiderlen, Markus.

    2015. Poster session presented at GPSRS Conference, Bad Herrenalb, Germany.

    Research output: Contribution to conference › Poster › Research

  27. Published

    Reconstruction of convex bodies from surface tensors. / Kousholt, Astrid; Kiderlen, Markus.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2015.

    Research output: Working paper › Research

  28. Published

    Surface tensor estimation from linear sections. / Kousholt, Astrid; Kiderlen, Markus; Hug, Daniel.

    In: Mathematische Nachrichten, Vol. 288, No. 14-15, 2015, p. 1647-1672.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  29. Published

    Voronoi-based estimation of Minkowski tensors from finite point samples. / Hug, Daniel; Kiderlen, Markus; Svane, Anne Marie.

    arXiv.org, 2015.

    Research output: Working paper › Research

  30. 2014
  31. Published

    Efficient calculation of local dose distributions for response modeling in proton and heavier ion beams. / Greilich, Steffen; Hahn, Ute; Kiderlen, Markus; Andersen, Claus E.; Bassler, Niels.

    In: The European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, Vol. 68, No. 217, 327, 28.10.2014.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  32. Published

    Estimating the surface area of nonconvex particles from central planar sections. / Thórisdóttir, Ólöf; H.Rafati, Ali; Kiderlen, Markus.

    In: Journal of Microscopy, Vol. 255, No. 1, 2014, p. 49–64.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  33. Published

    Surface tensor estimation from linear sections. / Kousholt, Astrid; Kiderlen, Markus; Hug, Daniel.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2014.

    Research output: Working paper › Research

  34. Published

    The Invariator Principle in Convex Geometry. / Thórisdóttir, Ólöf; Kiderlen, Markus.

    In: Advances in Applied Mathematics, Vol. 58, 2014, p. 63-87.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  35. 2013
  36. Published

    Estimating the surface area of non-convex particles from central planar sections. / Thórisdóttir, Ólöf; H.Rafati, Ali; Kiderlen, Markus.

    Centre for Stochastic Geometry and Advanced Bioimaging, Aarhus University, 2013.

    Research output: Working paper › Research

  37. Published

    Introduction into integral geometry and stereology. / Kiderlen, Markus.

    Stochastic geometry, spatial statistics and random fields: Asymptotic methods. ed. / Evgeny Spodarev. Springer, 2013. p. 21-48 (Lecture Notes in Mathematics, Vol. 2068).

    Research output: Contribution to book/anthology/report/proceeding › Book chapter › Research › peer-review

  38. Published

    Large Parallel Volumes of Finite and Compact Sets in d-Dimensional Euclidean Space. / Kiderlen, Markus; Kampf, Jürgen.

    In: Documenta Mathematica, Vol. 18, 2013, p. 275-295.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  39. Published

    Matérn's hard core models of types I and II with arbitrary compact grains. / Kiderlen, Markus; Hörig, Mario.

    Centre for Stochastic Geometry and Advanced Bioimaging, Aarhus University, 2013.

    Research output: Working paper › Research

  40. Published

    The invariator principle in convex geometry. / Thórisdóttir, Ólöf; Kiderlen, Markus.

    Centre for Stochastic Geometry and Advanced Bioimaging, Aarhus University, 2013.

    Research output: Working paper › Research

  41. Published

    Wicksell's Problem in Local Stereology. / Thórisdóttir, Ólöf; Kiderlen, Markus.

    In: Advances in Applied Probability, Vol. 45, No. 4, 2013, p. 925-944.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  42. 2012
  43. Published

    Lightness functions. / Campi, Stefano; Gardner, Richard; Gronchi, Paolo; Kiderlen, Markus.

    In: Advances in Mathematics, Vol. 231, No. 6, 2012, p. 3118 - 3146.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  44. Published

    Wicksell's Problem in Local Stereology. / Thórisdóttir, Ólöf; Kiderlen, Markus.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2012.

    Research output: Working paper › Research

  45. 2011
  46. Published

    Large parallel volumes of finite and compact sets in d-dimensional Euclidean space. / Kampf, Jürgen; Kiderlen, Markus.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2011.

    Research output: Working paper › Research

  47. Published

    Dilation volumes of sets of bounded perimeter. / Kiderlen, Markus; Rataj, Jan.

    Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 2011.

    Research output: Working paper › Research

  48. Published

    Image-Based Empirical Importance Sampling : An Efficient Way of Estimating Intensities. / Hansen, Linda Vadgård; Kiderlen, Markus; Jensen, Eva B. Vedel.

    In: Scandinavian Journal of Statistics, Vol. 38, No. 3, 2011, p. 393-408.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  49. Published

    Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms. / Bianchi, Gabriele; Gardner, Richard; Kiderlen, Markus.

    In: Journal of the American Mathematical Society, Vol. 24, No. 2, 2011, p. 293-343.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  50. Published

    Spherical projections and liftings in geometric tomography. / Goodey, Paul; Kiderlen, Markus; Weil, Wolfgang.

    In: Advances in Geometry, Vol. 11, No. 1, 2011, p. 1-47.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  51. 2010
  52. Published

    Amorphous track models: a numerical comparison study. / Greilich, S.; Grzanka, L.; Hahn, Ute; Kiderlen, Markus; Bassler, Niels; Andersen, Claus E.; Jäkel, O.

    In: Radiation Measurements, Vol. 45, No. 10, 10.12.2010, p. 1406-1409.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Conference article › Research › peer-review

  53. Published

    Stereological estimation of surface area from digital images. / Ziegel, Johanna; Kiderlen, Markus.

    In: Image Analysis and Stereology, Vol. 29, 06.2010, p. 99-110.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  54. Published

    Introduction into integral geometry and stereology. / Kiderlen, Markus.

    Århus : Thiele Centre, Institut for Matematiske Fag, Aarhus Universitet, 2010.

    Research output: Working paper › Research

  55. Published

    Estimation of surface area and surface area measure of three-dimensional sets from digitizations. / Ziegel, Johanna; Kiderlen, Markus.

    In: Image and Vision Computing, Vol. 28, No. 1, 2010, p. 64-77.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  56. 2009
  57. Published

    Error bounds for surface area estimators based on Crofton's formula. / Kiderlen, Markus; Meschenmoser, Daniel.

    In: Image Analysis and Stereology, Vol. 28, 11.2009, p. 165-177.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  58. Published

    A new algorithm for 3D reconstruction from support functions. / Gardner, Richard; Kiderlen, Markus.

    In: I E E E Transactions on Pattern Analysis and Machine Intelligence, Vol. 31, No. 3, 2009, p. 556-562.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  59. Published

    Amorphous track models: a numerical comparison study. / Greilich, Steffen; Grzanka, Leszek; Hahn, Ute; Kiderlen, Markus; Bassler, Niels; Andersen, Claus E.; Jäkel, Oliver.

    2009. Poster session presented at Neutron and Ion Dosimetry Symposium (NEUDOS-11), Cape Town, South Africa.

    Research output: Contribution to conference › Poster › Research

  60. 2008
  61. Published

    Estimation of the mean normal measure from flat sections. / Kiderlen, Markus.

    In: Advances in Applied Probability, Vol. 40, No. 1, 2008, p. 31-48.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  62. Published

    Stability results for convex bodies in geometric tomography. / Kiderlen, Markus.

    In: Indiana University Mathematics Journal, Vol. 57, 2008, p. 1999-2038.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  63. 2007
  64. Published

    A Solution to Hammer's X-ray Reconstruction Problem. / Gardner, Richard J.; Kiderlen, Markus.

    In: Advances in Mathematics, Vol. 214, 2007, p. 323-343.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  65. Published

    On infinitesimal increase of volumes of morphological transforms. / Kiderlen, Markus; Rataj, Jan.

    In: Mathematika, Vol. 53, 2007, p. 103-127.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  66. 2006
  67. Published

    Blaschke- and Minkowski-endomorphisms of convex bodies. / Kiderlen, Markus.

    In: Trans. Am. Math. Soc., Vol. 358, No. 12, 2006, p. 5539-5564.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  68. Published

    Convergence of Algorithms for Reconstructing Convex Bodies and Directional Measures. / Gardner, Richard; Kiderlen, Markus; Milanfar, Peyman.

    In: Annals of Statistics, Vol. 34, No. 3, 2006, p. 1331-1374.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  69. Published

    Estimating the Euler Characteristic of a planar set from a digital image. / Kiderlen, Markus.

    In: Journal of Visual Communication and Image Representation, Vol. 17, 2006, p. 1237-1255.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  70. 2005
  71. Published

    Algorithms to estimate the rose of directions of a spatial fibre system. / Kiderlen, Markus; Pfrang, A.

    In: Journal of Microscopy, Vol. 219, No. 2, 2005, p. 50-60.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  72. 2004
  73. Published

    Directional analysis of digitized 3D images by configuration counts. / Gutkowski, P.; Jensen, Eva B. Vedel; Kiderlen, M.

    In: Journal of Microscopy, Vol. 216, No. 2, 2004, p. 175-185.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  74. 2003
  75. Published

    Directional analysis of digitized planar sets by configuration counts. / Jensen, Eva B. Vedel; Kiderlen, M.

    In: Journal of Microscopy, Vol. 212, No. 2, 2003, p. 158-168.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  76. Published

    Estimation of the directional measure of planar random sets by digitization. / Kiderlen, M.; Jensen, Eva Bjørn Vedel.

    In: Advances in Applied Probability, Vol. 35, No. 3, 2003, p. 583-602.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review