World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
5983
World Ranking
1513
National Ranking
87

Engineering and Technology

D-Index
47
Citations
6436
World Ranking
4997
National Ranking
156

Martin Rumpf publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Martin Rumpf sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 205 publications — 64th percentile

64% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Martin Rumpf D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Martin Rumpf sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Martin Rumpf is affiliated with the University of Bonn in Germany and focuses their research primarily in the fields of Engineering and Computer Science.

Their work covers several subfields including:

  • Computational Mechanics
  • Computer Vision and Pattern Recognition
  • Civil and Structural Engineering
  • Mechanics of Materials
  • Materials Chemistry

Key research topics addressed by Martin Rumpf include:

  • Advanced Numerical Analysis Techniques
  • 3D Shape Modeling and Analysis
  • Topology Optimization in Engineering
  • Advanced Vision and Imaging
  • Morphological variations and asymmetry
  • Shape Memory Alloy Transformations
  • Generative Adversarial Networks and Image Synthesis

Martin Rumpf has authored publications in a variety of scientific venues, with frequent contributions in:

  • arXiv (Cornell University)
  • Computer Aided Geometric Design
  • SIAM Journal on Numerical Analysis
  • Journal of Mathematical Imaging and Vision
  • ESAIM. Mathematical Modelling and Numerical Analysis

Their recent notable scientific papers include:

  • "Geometry of martensite needles in shape memory alloys," 2020, Repository for Publications and Research Data (ETH Zurich)
  • "Repulsive Shells," 2024, ACM Transactions on Graphics
  • "Geometric optimization using nonlinear rotation-invariant coordinates," 2020, Computer Aided Geometric Design
  • "Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis," 2020, Computer Graphics Forum
  • "Microstructure of macrointerfaces in shape-memory alloys," 2023, Journal of the Mechanics and Physics of Solids

Martin Rumpf frequently collaborates with other researchers in their domain. Regular co-authors include:

  • Sergio Conti
  • Josua Sassen
  • Benedikt Wirth
  • Alexander Effland
  • Marko Rajković

Best Publications

  • A Variational Approach to Nonrigid Morphological Image Registration

    Marc Droske;Martin Rumpf

  • A finite element method for surface restoration with smooth boundary conditions

    U. Clarenz;U. Diewald;G. Dziuk;M. Rumpf

  • Mathematics and Visualization

    Gerald Farin;Hans Christian Hege;Martin Rumpf;Christopher R. Johnson

  • Bernoulli's free-boundary problem, qualitative theory and numerical approximation.

    M. Flucher;M. Rumpf

  • A level set formulation for Willmore flow

    M. Droske;Martin Rumpf

  • Nonnegativity preserving convergent schemes for the thin film equation

    Günther Grün;Martin Rumpf

  • Anisotropic geometric diffusion in surface processing

    U. Clarenz;U. Diewald;M. Rumpf

  • Anisotropic diffusion in vector field visualization on Euclidean domains and surfaces

    U. Diewald;T. Preusser;M. Rumpf

  • Level set segmentation in graphics hardware

    M. Rumpf;R. Strzodka

  • A Variational Framework for Simultaneous Motion Estimation and Restoration of Motion-Blurred Video

    L. Bar;B. Berkels;M. Rumpf;G. Sapiro

  • Robust feature detection and local classification for surfaces based on moment analysis

    U. Clarenz;M. Rumpf;A. Telea

  • An Adaptive Level Set Method for Medical Image Segmentation

    Marc Droske;Bernhard Meyer;Martin Rumpf;Carlo Schaller

  • Multiscale Joint Segmentation and Registration of Image Morphology

    M. Droske;M. Rumpf

  • Exploring invariant sets and invariant measures.

    Michael Dellnitz;Andreas Hohmann;Oliver Junge;Martin Rumpf

  • Shape Optimization Under Uncertainty—A Stochastic Programming Perspective

    Sergio Conti;Harald Held;Martin Pach;Martin Rumpf

  • An image processing approach to surface matching

    Nathan Litke;Marc Droske;Martin Rumpf;Peter Schröder

  • A Continuous Skeletonization Method Based on Level Sets

    Martin Rumpf;Alexandru Telea

  • Towards fast non-rigid registration

    U. Clarenz;M. Droske;M. Rumpf

  • Nonlinear diffusion in graphics hardware

    M. Rumpf;R. Strzodka

  • Hierarchical and adaptive visualization on nested grids

    M. Ohlberger;M. Rumpf

  • An Adaptive Finite Element Method for Large Scale Image Processing

    Tobias Preußer;Martin Rumpf

Frequent Co-Authors

Sergio Conti
Sergio Conti University of Bonn
Alexandru Telea
Alexandru Telea Utrecht University
Rüdiger Schultz
Rüdiger Schultz University of Duisburg-Essen
Peter Schröder
Peter Schröder California Institute of Technology
Harald Garcke
Harald Garcke University of Regensburg
Thomas Pock
Thomas Pock Graz University of Technology
Joachim Hornegger
Joachim Hornegger University of Erlangen-Nuremberg
Mario Ohlberger
Mario Ohlberger University of Münster
Michael Griebel
Michael Griebel University of Bonn
Sven Haller
Sven Haller Uppsala University

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