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Topic · Computer Graphics and Computer-Aided Design

Computational Geometry and Mesh Generation

Computational Geometry and Mesh Generation is a research topic within Computer Graphics and Computer-Aided Design. Science Explorer counts 25k research works in it since 1950. 20.3% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on advances in mesh generation algorithms, including Delaunay triangulations, Voronoi diagrams, and centroidal Voronoi tessellations. It also covers topics such as geometric optimization, quality meshing, computational geometry, hexahedral meshing, and approximation algorithms.

  • Mesh Generation
  • Delaunay Triangulations
  • Voronoi Diagrams
  • Geometric Optimization
  • Centroidal Voronoi Tessellations
  • Quality Meshing
  • Computational Geometry
  • Hexahedral Meshing
  • Approximation Algorithms
  • Planar Graph Embedding
Research works
25k
fractional, since 1950
In the world top 10%
5.1k
per year above
Top-10% rate
20.3%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
-19%
the tick is no change

Which countries lead Computational Geometry and Mesh Generation research?

By volume, the United States and China publish the most (473 and 447 works in 2022–2025).

By volume, 2022–2025

  1. 1 United States 473 works
  2. 2 China 447 works
  3. 3 Germany 186 works
  4. 4 France 133 works
  5. 5 India 110 works
  6. 6 Japan 93 works
  7. 7 Russia 87 works
  8. 8 Canada 80 works
  9. 9 United Kingdom 79 works
  10. 10 Italy 69 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

United States: 26.9%China: 25.5%Germany: 10.6%France: 7.6%6 others listed: 29.5%27%largest
United States473 · 26.9%China447 · 25.5%Germany186 · 10.6%France133 · 7.6%6 others listed517 · 29.5%

Shares of the rows listed above, not of the whole node.

Which institutions lead Computational Geometry and Mesh Generation research?

By volume in 2022–2025, Centre National de la Recherche Scientifique publishes the most Computational Geometry and Mesh Generation research, followed by Carnegie Mellon University and Zhejiang University.

By volume, 2022–2025

  1. 1 Centre National de la Recherche ScientifiqueFrance 19 works
  2. 2 Carnegie Mellon UniversityUnited States 16 works
  3. 3 Zhejiang UniversityChina 16 works
  4. 4 University of Science and Technology of ChinaChina 13 works
  5. 5 ETH ZurichSwitzerland 13 works
  6. 6 Massachusetts Institute of TechnologyUnited States 13 works
  7. 7 Dalian University of TechnologyChina 12 works
  8. 8 Charles UniversityCzechia 12 works
  9. 9 University of Illinois Urbana-ChampaignUnited States 11 works
  10. 10 Technical University of MunichGermany 11 works

Who are the leading researchers in Computational Geometry and Mesh Generation?

The most-cited researchers publishing on Computational Geometry and Mesh Generation include Leonidas Guibas, Robert E. Tarjan and Steven J. Miller.

  1. 1 Leonidas Guibas United States 6.3k citations
  2. 2 Robert E. Tarjan United States 3.9k citations
  3. 3 Steven J. Miller United States 3.8k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Computational Geometry and Mesh Generation research done?

The largest centres of Computational Geometry and Mesh Generation research in 2022–2025 are Beijing (China), Moscow (Russia), Paris (France) and Shanghai (China).

Largest cities, 2022–2025

  1. 1 Beijing China 81 works
  2. 2 Moscow Russia 41 works
  3. 3 Paris France 34 works
  4. 4 Shanghai China 32 works
  5. 5 Tokyo Japan 31 works
  6. 6 Hangzhou China 31 works
  7. 7 Budapest Hungary 27 works
  8. 8 Nanjing China 24 works
  9. 9 Wuhan China 23 works
  10. 10 Prague Czechia 22 works
See Computational Geometry and Mesh Generation on the map

Where is the best place to study Computational Geometry and Mesh Generation?

Among universities, judged by research, Carnegie Mellon University, Massachusetts Institute of Technology and Technical University of Munich score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 16.93%fractional works in this node (log) →share in the world top 10% →Carnegie Mellon University: 16, 27.4%Massachusetts Institute of Technology: 13, 20.6%Technical University of Munich: 11, 32.0%Technische Universität Berlin: 11, 16.4%ETH Zurich: 13, 12.5%University of Science and Technology of China: 13, 25.2%Graz University of Technology: 9, 15.9%TU Wien: 11, 7.2%Charles University: 12, 5.1%University of Bonn: 10, 7.0%Technical University…Carnegie Mellon Univ…Massachusetts Instit…Technische Universit…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Carnegie Mellon UniversityUnited States 79.027.4%16.6×16 +20.5%
2 Massachusetts Institute of TechnologyUnited States 61.720.6%8.5×13 +9.4%
3 Technical University of MunichGermany 57.232.0%5.8×11 -18.0%
4 Technische Universität BerlinGermany 56.416.4%13.1×11 -9.0%
5 ETH ZurichSwitzerland 54.612.5%8.0×13 -9.8%
6 University of Science and Technology of ChinaChina 50.825.2%4.6×13 +20.0%
7 Graz University of TechnologyAustria 50.215.9%19.3×9 -38.8%
8 TU WienAustria 49.87.2%14.5×11 -12.5%
9 Charles UniversityCzechia 45.05.1%11.0×12 -42.2%
10 University of BonnGermany 44.67.0%11.6×10 -14.9%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Computational Geometry and Mesh Generation research growing?

Output in 2018–2022 was 19% lower than in 2013–2017, peaking in 2009.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.