H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 61 Citations 11,972 161 World Ranking 233 National Ranking 2

Research.com Recognitions

Awards & Achievements

2018 - SIAM Fellow For contributions to industrial and applied geometry and pioneering research at the interface of architecture and mathematics.

Overview

What is he best known for?

The fields of study he is best known for:

  • Geometry
  • Artificial intelligence
  • Mathematical analysis

His primary areas of study are Geometry, Topology, Surface, Developable surface and Algorithm. The concepts of his Geometry study are interwoven with issues in Planar and Kinematics. His Topology research integrates issues from Discrete differential geometry, Polygon mesh, Geometric shape and Applied mathematics.

His Surface study incorporates themes from Degree, Combinatorics and Computational geometry. Helmut Pottmann combines subjects such as Conical surface and Principal curvature with his study of Developable surface. His Matching study in the realm of Algorithm connects with subjects such as Rate of convergence.

His most cited work include:

  • Robust global registration (492 citations)
  • Computational line geometry (472 citations)
  • Discovering structural regularity in 3D geometry (310 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Geometry, Surface, Mathematical analysis, Pure mathematics and Polygon mesh. His Surface study integrates concerns from other disciplines, such as Algorithm, Kinematics, Computer Aided Design and Planar. His Algorithm research is multidisciplinary, incorporating perspectives in Point cloud and Mathematical optimization.

His Mathematical analysis research is multidisciplinary, relying on both Ruled surface, Boundary and Tensor product. Helmut Pottmann interconnects Line and Limit in the investigation of issues within Pure mathematics. His studies in Polygon mesh integrate themes in fields like Discrete differential geometry and Topology.

He most often published in these fields:

  • Geometry (36.60%)
  • Surface (28.51%)
  • Mathematical analysis (20.43%)

What were the highlights of his more recent work (between 2016-2020)?

  • Pure mathematics (20.43%)
  • Geometry (36.60%)
  • Limit (7.66%)

In recent papers he was focusing on the following fields of study:

Pure mathematics, Geometry, Limit, Discrete differential geometry and Conical surface are his primary areas of study. The various areas that Helmut Pottmann examines in his Pure mathematics study include Smoothness, Hyperplane and Euclidean geometry. With his scientific publications, his incorporates both Geometry and Design space.

His biological study deals with issues like Discretization, which deal with fields such as Basis, Minimal surface, Curvature and Polygon mesh. His Conical surface study combines topics from a wide range of disciplines, such as Structure, Planar, Developable surface, Machining and Envelope. His work on Parametric surface as part of general Surface study is frequently linked to Gauss, therefore connecting diverse disciplines of science.

Between 2016 and 2020, his most popular works were:

  • Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining (24 citations)
  • Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces (12 citations)
  • Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces (12 citations)

In his most recent research, the most cited papers focused on:

  • Geometry
  • Artificial intelligence
  • Mathematical analysis

The scientist’s investigation covers issues in Developable surface, Polygon mesh, Architectural geometry, Conical surface and Discrete differential geometry. His Developable surface study is related to the wider topic of Surface. His study on Polygon mesh also encompasses disciplines like

  • Geometric modeling which connect with Polygon and Isometry,
  • Basis, Gravitational singularity, Connection, Topology and Conformal map most often made with reference to Discretization.

His Polygon research entails a greater understanding of Geometry. His research in Conical surface intersects with topics in Planar, Image and B-spline. His studies deal with areas such as Diagonal, Checkerboard, Geometry processing, Algorithm and Variety as well as Discrete differential geometry.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Computational line geometry

Helmut Pottmann;Johannes Wallner.
(2001)

936 Citations

Robust global registration

Natasha Gelfand;Niloy J. Mitra;Leonidas J. Guibas;Helmut Pottmann.
symposium on geometry processing (2005)

687 Citations

Architectural Geometry

Helmut Pottmann;Michael Eigensatz;Amir Vaxman;Johannes Wallner.
(2007)

659 Citations

Discovering structural regularity in 3D geometry

Mark Pauly;Niloy J. Mitra;Johannes Wallner;Helmut Pottmann.
international conference on computer graphics and interactive techniques (2008)

428 Citations

Geometric modeling with conical meshes and developable surfaces

Yang Liu;Helmut Pottmann;Johannes Wallner;Yong-Liang Yang.
international conference on computer graphics and interactive techniques (2006)

427 Citations

Reassembling fractured objects by geometric matching

Qi-Xing Huang;Simon Flöry;Natasha Gelfand;Michael Hofer.
international conference on computer graphics and interactive techniques (2006)

426 Citations

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

Wenping Wang;Helmut Pottmann;Yang Liu.
ACM Transactions on Graphics (2006)

400 Citations

Registration of point cloud data from a geometric optimization perspective

Niloy J. Mitra;Natasha Gelfand;Helmut Pottmann;Leonidas Guibas.
symposium on geometry processing (2004)

334 Citations

Geometric modeling in shape space

Martin Kilian;Niloy J. Mitra;Helmut Pottmann.
international conference on computer graphics and interactive techniques (2007)

313 Citations

Rational curves and surfaces with rational offsets

Helmut Pottmann.
Computer Aided Geometric Design (1995)

279 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

If you think any of the details on this page are incorrect, let us know.

Contact us

Top Scientists Citing Helmut Pottmann

Bert Jüttler

Bert Jüttler

Johannes Kepler University of Linz

Publications: 51

Hans-Peter Seidel

Hans-Peter Seidel

Max Planck Institute for Informatics

Publications: 43

Niloy J. Mitra

Niloy J. Mitra

University College London

Publications: 42

Leonidas J. Guibas

Leonidas J. Guibas

Stanford University

Publications: 41

Qixing Huang

Qixing Huang

The University of Texas at Austin

Publications: 41

Michael M. Bronstein

Michael M. Bronstein

Imperial College London

Publications: 41

Daniel Cohen-Or

Daniel Cohen-Or

Tel Aviv University

Publications: 39

Wenping Wang

Wenping Wang

University of Hong Kong

Publications: 38

Alexander M. Bronstein

Alexander M. Bronstein

Technion – Israel Institute of Technology

Publications: 35

Mark Pauly

Mark Pauly

École Polytechnique Fédérale de Lausanne

Publications: 32

Rida T. Farouki

Rida T. Farouki

University of California, Davis

Publications: 32

Michael Wand

Michael Wand

Johannes Gutenberg University of Mainz

Publications: 29

Hao Zhang

Hao Zhang

Simon Fraser University

Publications: 29

Charlie C. L. Wang

Charlie C. L. Wang

University of Manchester

Publications: 28

Johannes Wallner

Johannes Wallner

Graz University of Technology

Publications: 27

Something went wrong. Please try again later.