Markus Kiderlen

Research output

Research output per year 2003 2010 2011 2013 2014 2015 2016 2017 2020 2024

• 41 Journal article
• 17 Working paper
• 3 Book chapter
• 3 Poster
• 2 More
  • 1 Anthology
  • 1 Conference article

Research output per year

Research output per year

Search results

• 2024

  The Pólya-Szegő inequality for smoothing rearrangements

  Bianchi, G., Gardner, R. J., Gronchi, P. & Kiderlen, M., Jul 2024, In: Journal of Functional Analysis. 287, 2, 110422.

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

  Open Access

  • Unit Ball 100%
  • Convex Body 100%
  • Measurable Function 100%
  • Main Class 100%
  • Lipschitz Function 100%
• 2022

  Improved entropy bounds for parity filtered self-timed ring based random number generators

  Gomez, A. I., Kiderlen, M. & Pausinger, F., Mar 2022, In: Information Processing Letters. 174, 106212.

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

  • Reference Clock 100%
  • Random Number Generator 100%
  • Clock Signal 20%
  • Block Processing 20%
  4 Citations (Scopus)

• Improving Cavalieri volume estimation based on non-equidistant planar sections: The trapezoidal estimator

  Stehr, M., Kiderlen, M. & Dorph-Petersen, K.-A., Oct 2022, In: Journal of Microscopy. 288, 1, p. 40-53 14 p.

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

  Open Access

  • Variance 100%
  • Variance Estimate 100%
  • Unbiased Estimator 100%
  • Parietal Lobe 100%
  1 Citation (Scopus)

• On a partition with a lower expected L₂-discrepancy than classical jittered sampling

  Kiderlen, M. & Pausinger, F., Jun 2022, In: Journal of Complexity. 70, 101616.

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

  • Stratified Sample 100%
  • Unit Cube 100%
  • Counterexample 100%
  2 Citations (Scopus)
• 2021

  Discrepancy of stratified samples from partitions of the unit cube

  Kiderlen, M. & Pausinger, F., Jun 2021, In: Monatshefte fur Mathematik. 195, 2, p. 267-306 40 p.

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

  Open Access

  File

  • Stratified Sample 100%
  • Unit Cube 100%
  • Set Point 100%
  • Convex Set 50%
  • Ith Point 50%
  4 Citations (Scopus)

  28 Downloads (Pure)

• Mean Surface and Volume Particle Tensors under Restricted L-isotropy and Associated Ellipsoids

  Eriksen, R. K. & Kiderlen, M., 2021, (Submitted) In: Advances in Geometry.

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

• Reconstructing Planar Ellipses from Translation-Invariant Minkowski Tensors of Rank Two

  Eriksen, R. K. & Kiderlen, M., 2021, (Submitted) In: Discrete & Computational Geometry.

  Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
• 2020

  Asymptotic variance of Newton-Cotes quadratures based on randomized sampling points

  Stehr, M. & Kiderlen, M., 2020, In: Advances in Applied Probability. 52, 4, p. 1284-1307 24 p.

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

  • Point Distance 100%
  • Randomized Sampling 100%
  • Asymptotic Variance 100%
  • Newton-Cotes Quadrature 100%
  • Distance Point 100%
  3 Citations (Scopus)

• Improving the Cavalieri estimator under non-equidistant sampling and dropouts

  Stehr, M. & Kiderlen, M., 2020, In: Image Analysis and Stereology. 39, 3, p. 197-212 16 p.

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

  • Variance 100%
  • Convex Body 100%
  • Probability Theory 50%
  • Variance Estimator 50%
  • Stationary Point Process 50%
  1 Citation (Scopus)

• Rearrangement and polarization

  Bianchi, G., Gardner, R. J., Gronchi, P. & Kiderlen, M., Nov 2020, In: Advances in Mathematics. 374, 107380.

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

  Open Access

  • Convex Body 100%
  • Real Valued Function 100%
  • Measure Zero 100%
  • Mathematical Science 100%
  • Level Set 100%
  5 Citations (Scopus)

• Uniqueness of the measurement function in Crofton's formula

  Eriksen, R. & Kiderlen, M., May 2020, In: Advances in Applied Mathematics. 116, 102004.

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

  • Intrinsic Volume 100%
  • Functionals 50%
  • Convex Set 25%
  • Additional Example 25%
  • Integral Invariant 25%
  1 Citation (Scopus)
• 2018

  Dilation volumes of sets of finite perimeter

  Kiderlen, M. & Rataj, J., 1 Dec 2018, In: Advances in Applied Probability. 50, 4, p. 1095-1118 24 p.

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

  • Coincides 100%
  • Smooth Function 100%
  • Cosine Transform 100%
  • Directional Derivative 100%
  • Bounded Variation Function 100%
  2 Citations (Scopus)

• Operations between functions

  Gardner, R. & Kiderlen, M., 2018, In: Communications in Analysis and Geometry. 26, 4, p. 787-855 69 p.

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

  • Pointwise 100%
  • Convex Function 60%
  • Support Function 20%
  • Real Valued Function 20%
  • Continuous Function 20%
  5 Citations (Scopus)
• 2017

  Dilation volumes of sets of finite perimeter

  Kiderlen, M. & Rataj, J., 2017.

  Research output: Working paper/Preprint › Working paper › Research

• Rotation Invariant Valuations

  Kiderlen, M. & Jensen, E. B. V., 2017, Tensor Valuations and Their Applications in Stochastic Geometry and Imaging. Jensen, E. B. V. & Kiderlen, M. (eds.). Springer, Vol. 2177 . p. 185-212 28 p. (Lecture Notes in Mathematics, Vol. 2177).

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

  • Tensor 100%
  • Rotational 100%
  • Open Question 25%
  • Invariant Polynomial 25%
  2 Citations (Scopus)

• Stereological estimation of mean particle volume tensors in R3 from vertical sections

  Kousholt, A., Ziegel, J., Kiderlen, M. & Jensen, E. B. V., 2017, Tensor Valuations and Their Applications in Stochastic Geometry and Imaging . Jensen, E. B. V. & Kiderlen, M. (eds.). Springer, Vol. 2177. p. 423-434 (Lecture Notes in Mathematics, Vol. 2177).

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

• Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

  Kiderlen, M. (Editor) & Jensen, E. B. V. (Editor), 2017, Springer. 460 p. (Lecture Notes in Mathematics, Vol. 2177).

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

• The Cavalieri estimator with unequal section spacing revisited

  Kiderlen, M. & Dorph-Petersen, K.-A., 2017.

  Research output: Working paper/Preprint › Working paper › Research

• The Cavalieri estimator with unequal section spacing revisited

  Kiderlen, M. & Dorph-Petersen, K. A., 2017, In: Image Analysis and Stereology. 36, 2, p. 135-141 7 p.

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

  • Simpson's Rule 100%
  • Trapezoid Rule 100%
  7 Citations (Scopus)

• Voronoi-Based Estimation of Minkowski Tensors from Finite Point Samples

  Hug, D., Kiderlen, M. & Svane, A. M., 2017, In: Discrete & Computational Geometry. 57, 3, p. 545-570 26 p.

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

  File

  • Minkowski 100%
  • Sample Point 100%
  • Tensor 100%
  • Point-Finite 100%
  • Intrinsic Volume 33%
  13 Citations (Scopus)

  161 Downloads (Pure)
• 2016

  Comparison of two global digital algorithms for Minkowski tensor estimation

  Christensen, S. T. (Member of author collaboration) & Kiderlen, M. (Member of author collaboration), 2016, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 27 p. (CSGB Research Reports, Vol. 2016/10).

  Research output: Working paper/Preprint › Working paper › Research

  Open Access

  File

  • Minkowski 100%
  • Tensor 100%
  • Input Argument 100%
  • Convergence Property 100%
  • Approximates 25%
  199 Downloads (Pure)

• Poster: Comparison of two global digital algorithms for Minkowski tensor estimation

  Christensen, S. T. & Kiderlen, M. (Member of author collaboration), 7 Jun 2016. 1 p.

  Research output: Contribution to conference › Poster › Research

  Open Access

  File

  • Minkowski 100%
  • Tensor 100%
  • Two Dimensions 50%
  267 Downloads (Pure)

• Reconstruction of convex bodies from surface tensors

  Kousholt, A. & Kiderlen, M., 2016, In: Advances in Applied Mathematics. 76, p. 1-33 33 p.

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

  • Convex Body 100%
  • Tensor 100%
  • Harmonics 100%
  • Two Dimensional 50%
  • Dimensional Euclidean Space 50%
  10 Citations (Scopus)

• Rotation Invariant Valuations

  Jensen, E. B. V. & Kiderlen, M., Feb 2016, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 25 p. (CSGB Research Reports, Vol. 2016/03).

  Research output: Working paper/Preprint › Working paper › Research

  Open Access

  File
  12 Citations (Scopus)

  149 Downloads (Pure)

• Stereological estimation of mean particle volume tensors in R3 from vertical sections

  Kousholt, A., Ziegel, J. F., Kiderlen, M. & Jensen, E. B. V., 2016, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 11 p. (CSGB Research Reports, Vol. 2016/09).

  Research output: Working paper/Preprint › Working paper › Research

  Open Access

  File
  67 Downloads (Pure)

• Stereological estimation of mean particle volume tensors in R³ from vertical sections

  Kousholt, A., Ziegel, J., Kiderlen, M. & Jensen, E. B. V., 2016, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 10 p. (CSGB Research Reports; No. 09).

  Research output: Working paper/Preprint › Working paper › Research

  Open Access

  File
  182 Downloads (Pure)
• 2015

  Operations Between Functions

  Gardner, R. J. & Kiderlen, M., 2015, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 53 p. (CSGB Research Reports; No. 11).

  Research output: Working paper/Preprint › Working paper › Research

  Open Access

  File
  208 Downloads (Pure)

• Reconstruction of convex bodies from surface tensors

  Kousholt, A. & Kiderlen, M., 2015. 1 p.

  Research output: Contribution to conference › Poster › Research

  Open Access

  File

  • Convex Body 100%
  • Tensor 100%
  • Finite Number 100%
  • Equivalence Class 100%
  • reconstruction algorithm 100%
  190 Downloads (Pure)

• Reconstruction of convex bodies from surface tensors

  Kousholt, A. & Kiderlen, M., 2015, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 29 p. (CSGB Research Reports; No. 10).

  Research output: Working paper/Preprint › Working paper › Research

  Open Access

  File
  205 Downloads (Pure)

• Surface tensor estimation from linear sections

  Kousholt, A., Kiderlen, M. & Hug, D., 2015, In: Mathematische Nachrichten. 288, 14-15, p. 1647-1672 26 p.

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

  • Tensor 100%
  • Linear Section 100%
  • Convex Body 25%
  • Minkowski 25%
  • Stationary Process 25%
  7 Citations (Scopus)

• Voronoi-based estimation of Minkowski tensors from finite point samples

  Hug, D., Kiderlen, M. & Svane, A. M., 2015, arxiv.org, 21 p. (CSGB Research Reports, Vol. 2016/06).

  Research output: Working paper/Preprint › Working paper › Research

  Open Access

  File
  99 Downloads (Pure)
• 2014

  Efficient calculation of local dose distributions for response modeling in proton and heavier ion beams

  Greilich, S., Hahn, U., Kiderlen, M., Andersen, C. E. & Bassler, N., 28 Oct 2014, In: The European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics. 68, 217, 5 p., 327.

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

  • Radiation Therapy 100%
  • Dosimetry 100%
  • Heavy Ion 100%
  • Radiation Biology 100%
  8 Citations (Scopus)

• Estimating the surface area of nonconvex particles from central planar sections

  Thórisdóttir, Ó., H.Rafati, A. & Kiderlen, M., 2014, In: Journal of Microscopy. 255, 1, p. 49–64 16 p.

  Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
  6 Citations (Scopus)

• Surface tensor estimation from linear sections

  Kousholt, A., Kiderlen, M. & Hug, D., 2014, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 31 p. (CSGB Research Reports; No. 07).

  Research output: Working paper/Preprint › Working paper › Research

  File

  • Tensor 100%
  • Linear Section 100%
  • Convex Body 25%
  • Minkowski 25%
  • Stationary Process 25%
  227 Downloads (Pure)

• The Invariator Principle in Convex Geometry

  Thórisdóttir, Ó. & Kiderlen, M., 2014, In: Advances in Applied Mathematics. 58, p. 63-87 25 p.

  Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
  7 Citations (Scopus)
• 2013

  Estimating the surface area of non-convex particles from central planar sections

  Thórisdóttir, Ó., H.Rafati, A. & Kiderlen, M., 2013, Centre for Stochastic Geometry and Advanced Bioimaging, Aarhus University, 29 p. (CSGB Research Reports; No. 08).

  Research output: Working paper/Preprint › Working paper › Research

  File

  • Type Estimator 100%
  • Simulation Study 33%
  • Reference Point 33%
  • Sampling Procedure 33%
  • Dimensional Structure 33%
  230 Downloads (Pure)

• Introduction into integral geometry and stereology

  Kiderlen, M., 2013, Stochastic geometry, spatial statistics and random fields: Asymptotic methods. Spodarev, E. (ed.). Springer, p. 21-48 28 p. (Lecture Notes in Mathematics, Vol. 2068).

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

• Large Parallel Volumes of Finite and Compact Sets in d-Dimensional Euclidean Space

  Kiderlen, M. & Kampf, J., 2013, In: Documenta Mathematica. 18, p. 275-295 19 p.

  Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
  3 Citations (Scopus)

• Matérn's hard core models of types I and II with arbitrary compact grains

  Kiderlen, M. & Hörig, M., 2013, Centre for Stochastic Geometry and Advanced Bioimaging, Aarhus University, 23 p. (CSGB Research Reports; No. 05).

  Research output: Working paper/Preprint › Working paper › Research

  File

  • Convex Set 100%
  • Coincides 50%
  • Analogous Result 50%
  • Minkowski Inequality 50%
  • Random Pattern 50%
  876 Downloads (Pure)

• The invariator principle in convex geometry

  Thórisdóttir, Ó. & Kiderlen, M., 2013, Centre for Stochastic Geometry and Advanced Bioimaging, Aarhus University, 27 p. (CSGB Research Reports; No. 06).

  Research output: Working paper/Preprint › Working paper › Research

  File

  • Linear Section 100%
  163 Downloads (Pure)

• Wicksell's Problem in Local Stereology

  Thórisdóttir, Ó. & Kiderlen, M., 2013, In: Advances in Applied Probability. 45, 4, p. 925-944

  Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
  1 Citation (Scopus)
• 2012

  Lightness functions

  Campi, S., Gardner, R., Gronchi, P. & Kiderlen, M., 2012, In: Advances in Mathematics. 231, 6, p. 3118 - 3146 29 p.

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

  • Convex Body 100%
  • Reflected Light 50%
  • Function Value 33%
  • Orthogonal Projection 33%
  4 Citations (Scopus)

• Wicksell's Problem in Local Stereology

  Thórisdóttir, Ó. & Kiderlen, M., 2012, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 26 p. (CSGB Research Reports; No. 05).

  Research output: Working paper/Preprint › Working paper › Research

  File

  • Reference Point 100%
  • Stereology 100%
  • Illustrates 33%
  • Spherical Particle 33%
  • Individual Particle 33%
  356 Downloads (Pure)
• 2011

  Dilation volumes of sets of bounded perimeter

  Kiderlen, M. & Rataj, J., 5 Sept 2011, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 19 p.

  Research output: Working paper/Preprint › Working paper › Research

  File

  • Smooth Function 100%
  • Cosine Transform 100%
  • Directional Derivative 100%
  • Distribution Function 100%
  • Dimensional Euclidean Space 100%
  356 Downloads (Pure)

• Image-Based Empirical Importance Sampling: An Efficient Way of Estimating Intensities

  Hansen, L. V., Kiderlen, M. & Jensen, E. B. V., 2011, In: Scandinavian Journal of Statistics. 38, 3, p. 393-408 16 p.

  Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
  4 Citations (Scopus)

• Large parallel volumes of finite and compact sets in d-dimensional Euclidean space

  Kampf, J. & Kiderlen, M., 8 Dec 2011, Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University, 19 p.

  Research output: Working paper/Preprint › Working paper › Research

  File

  • Laurent Expansion 100%
  530 Downloads (Pure)

• Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms

  Bianchi, G., Gardner, R. & Kiderlen, M., 2011, In: Journal of the American Mathematical Society. 24, 2, p. 293-343 51 p.

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

  File
  11 Citations (Scopus)

  577 Downloads (Pure)

• Spherical projections and liftings in geometric tomography

  Goodey, P., Kiderlen, M. & Weil, W., 2011, In: Advances in Geometry. 11, 1, p. 1-47 47 p.

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

  File

  • Support Function 100%
  • Convex Body 100%
  • Radial Function 100%
  • Integral Transform 100%
  • Eigenvalue 100%
  6 Citations (Scopus)

  438 Downloads (Pure)
• 2010

  Amorphous track models: a numerical comparison study

  Greilich, S., Grzanka, L., Hahn, U., Kiderlen, M., Bassler, N., Andersen, C. E. & Jäkel, O., 10 Dec 2010, In: Radiation Measurements. 45, 10, p. 1406-1409 4 p.

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

  • Amorphous Material 100%
  32 Citations (Scopus)

• Estimation of surface area and surface area measure of three-dimensional sets from digitizations

  Ziegel, J. & Kiderlen, M., 2010, In: Image and Vision Computing. 28, 1, p. 64-77 14 p.

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

  File

  • Local Area 100%
  21 Citations (Scopus)

  354 Downloads (Pure)