D-Index & Metrics Best Publications

Helmut Pottmann

King Abdullah University of Science and Technology
Saudi Arabia

Mathematics

Saudi Arabia

2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name Citations Publications World Ranking National Ranking

Mathematics D-index 65 Citations 13,831 208 World Ranking 282 National Ranking 3

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Saudi Arabia 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

What is he best known for?

The fields of study Helmut Pottmann is best known for:

Geometry
Spline interpolation
Euclidean space

His Duality (order theory) research focuses on Pure mathematics and how it connects with Algebra over a field. His study in Pure mathematics extends to Algebra over a field with its themes. His work investigates the relationship between Spline (mechanical) and topics such as Structural engineering that intersect with problems in Finite element method. His research on Finite element method frequently links to adjacent areas such as Structural engineering. Image (mathematics) and Point cloud are all intertwined in Artificial intelligence research. Image (mathematics) and Artificial intelligence are commonly linked in his work. Helmut Pottmann brings together Geometry and Geometric modeling to produce work in his papers. Helmut Pottmann performs multidisciplinary study in the fields of Algorithm and Computation via his papers. Many of his studies involve connections with topics such as B-spline and Mathematical analysis.

His most cited work include:

Geometric modeling with conical meshes and developable surfaces (331 citations)
Computational Line Geometry (295 citations)
Fitting B-spline curves to point clouds by curvature-based squared distance minimization (274 citations)

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

His study in the fields of Geometry under the domain of Surface (topology) overlaps with other disciplines such as Mathematical analysis, Curvature and Algorithm. Helmut Pottmann performs integrative Geometry and Curvature research in his work. Helmut Pottmann performs multidisciplinary study in the fields of Mathematical analysis and Pure mathematics via his papers. As part of his studies on Pure mathematics, he often connects relevant areas like Algebra over a field. Helmut Pottmann combines Computer graphics (images) and Polygon mesh in his research. In his works, he performs multidisciplinary study on Polygon mesh and Computer graphics (images). Combinatorics is closely attributed to Topology (electrical circuits) in his study. Topology (electrical circuits) is frequently linked to Combinatorics in his study.

Helmut Pottmann most often published in these fields:

Geometry (90.60%)
Mathematical analysis (44.44%)
Surface (topology) (42.74%)

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.

Best Publications

Computational line geometry

Helmut Pottmann;Johannes Wallner.
(2001)

975 Citations

Robust global registration

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

745 Citations

Architectural Geometry

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

688 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)

468 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)

443 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)

434 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)

422 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)

354 Citations

Geometric modeling in shape space

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

323 Citations

Rational curves and surfaces with rational offsets

Helmut Pottmann.
Computer Aided Geometric Design (1995)

286 Citations

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Helmut Pottmann

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Research.com Recognitions

Awards & Achievements

Overview

What is he best known for?

The fields of study Helmut Pottmann is best known for:

His most cited work include:

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

Helmut Pottmann most often published in these fields:

Best Publications

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