World's Best Scientists 2026 revealed!
Helmut Pottmann

Helmut Pottmann

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Mathematics
Austria
2026
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Mathematics
Saudi Arabia
2022

D-Index & Metrics

Mathematics

D-Index
69
Citations
16296
World Ranking
295
National Ranking
4

Research.com Recognitions

  • 2026 - Research.com Mathematics in Austria Leader Award
  • 2025 - Research.com Mathematics in Austria Leader Award
  • 2022 - Research.com Mathematics in Saudi Arabia Leader Award
  • 2018 - SIAM Fellow For contributions to industrial and applied geometry and pioneering research at the interface of architecture and mathematics.

Overview

Helmut Pottmann is affiliated with TU Wien in Austria and has an extensive publication record primarily in the fields of Engineering, Computer Science, and Mathematics. Their research spans several subfields including Computational Mechanics, Computer Graphics and Computer-Aided Design, Mechanical Engineering, Civil and Structural Engineering, and Geometry and Topology.

Their work covers a range of topics such as Advanced Numerical Analysis Techniques, 3D Shape Modeling and Analysis, Computational Geometry and Mesh Generation, Mathematics and Applications, Structural Analysis and Optimization, Advanced Theoretical and Applied Studies in Material Sciences and Geometry, and Advanced Materials and Mechanics.

Frequent co-authors include Florian Rist, Caigui Jiang, Johannes Wallner, Alexander I. Bobenko, and Carl O. R. Lutz.

Helmut Pottmann has published in several notable venues, with a high number of publications in ACM Transactions on Graphics. Other venues include arXiv (Cornell University), Computer-Aided Design, Computer Aided Geometric Design, and Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry.

Recent papers include:

  • Quad-mesh based isometric mappings and developable surfaces, 2020, ACM Transactions on Graphics
  • Geometry and tool motion planning for curvature adapted CNC machining, 2021, ACM Transactions on Graphics
  • Shape-morphing mechanical metamaterials, 2021, Computer-Aided Design
  • Computational design of weingarten surfaces, 2021, ACM Transactions on Graphics
  • Principal symmetric meshes, 2020, ACM Transactions on Graphics

Helmut Pottmann has also contributed to book publications, including the title Non-Euclidean Laguerre Geometry and Incircular Nets published by Springer International Publishing in 2021.

In recognition of their research contributions, they were named a SIAM Fellow in 2018 for work in industrial and applied geometry and pioneering research at the interface of architecture and mathematics.

Best Publications

  • Computational line geometry

    Helmut Pottmann;Johannes Wallner

  • Robust global registration

    Natasha Gelfand;Niloy J. Mitra;Leonidas J. Guibas;Helmut Pottmann

  • Architectural Geometry

    Helmut Pottmann;Michael Eigensatz;Amir Vaxman;Johannes Wallner

  • Geometric modeling with conical meshes and developable surfaces

    Yang Liu;Helmut Pottmann;Johannes Wallner;Yong-Liang Yang

  • Fitting B-spline curves to point clouds by curvature-based squared distance minimization

    Wenping Wang;Helmut Pottmann;Yang Liu

  • Discovering structural regularity in 3D geometry

    Mark Pauly;Niloy J. Mitra;Johannes Wallner;Helmut Pottmann

  • Reassembling fractured objects by geometric matching

    Qi-Xing Huang;Simon Flöry;Natasha Gelfand;Michael Hofer

  • Registration of point cloud data from a geometric optimization perspective

    Niloy J. Mitra;Natasha Gelfand;Helmut Pottmann;Leonidas Guibas

  • Geometric modeling in shape space

    Martin Kilian;Niloy J. Mitra;Helmut Pottmann

  • Integral invariants for robust geometry processing

    Helmut Pottmann;Johannes Wallner;Qi-Xing Huang;Yong-Liang Yang

  • Rational curves and surfaces with rational offsets

    Helmut Pottmann

  • Curved folding

    Martin Kilian;Simon Flöry;Zhonggui Chen;Niloy J. Mitra

  • Geometry and Convergence Analysis of Algorithms for Registration of 3D Shapes

    Helmut Pottmann;Qi-Xing Huang;Yong-Liang Yang;Shi-Min Hu

  • Freeform surfaces from single curved panels

    Helmut Pottmann;Alexander Schiftner;Pengbo Bo;Heinz Schmiedhofer

  • Paneling architectural freeform surfaces

    Michael Eigensatz;Martin Kilian;Alexander Schiftner;Niloy J. Mitra

  • Geometry of multi-layer freeform structures for architecture

    Helmut Pottmann;Yang Liu;Johannes Wallner;Alexander Bobenko

  • Approximation algorithms for developable surfaces

    Helmut Pottmann;Johannes Wallner

  • Energy-minimizing splines in manifolds

    Michael Hofer;Helmut Pottmann

  • Registration without ICP

    Helmut Pottmann;Stefan Leopoldseder;Michael Hofer

  • Developable rational Be´zier and B-spline surfaces

    Helmut Pottmann;Gerald Farin

Frequent Co-Authors

Niloy J. Mitra
Niloy J. Mitra University College London
Bahram Ravani
Bahram Ravani University of California, Davis
Wenping Wang
Wenping Wang Texas A&M University
Mark Pauly
Mark Pauly École Polytechnique Fédérale de Lausanne
Shi-Min Hu
Shi-Min Hu Tsinghua University
Alexander I. Bobenko
Alexander I. Bobenko Technical University of Berlin
Leonidas J. Guibas
Leonidas J. Guibas Stanford University
Yang Liu
Yang Liu Microsoft Research Asia (China)
Qixing Huang
Qixing Huang The University of Texas at Austin
Yu-Kun Lai
Yu-Kun Lai Cardiff University

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