Discrete Differential Geometry: Integrable Structure

By Alexander I. Bobenko, Yuri B. Suris. 2008

299 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Building and Construction, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/f76927a4f7044f88375a81ec73a93eae56718bb1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Serge Tabachnikov
2. Johannes Wallner
3. Helmut Pottmann
4. Amir Vaxman
5. Michael Eigensatz
6. H. Van Damme
7. Misha Bialy

In Building and Construction

1. Johannes Wallner
2. Helmut Pottmann
3. Amir Vaxman
4. Michael Eigensatz
5. H. Van Damme

In Computational Mechanics

1. Johannes Wallner
2. Helmut Pottmann
3. Amir Vaxman
4. Richard Evan Schwartz
5. Michael Eigensatz
6. H. Van Damme

Citations in the corpus

• The Pentagram Map: A Discrete Integrable System (2008, background): “In the geometrical setting which is closer to our viewpoint, see [5] for many interesting examples.”
• Architectural geometry (2007, methodology): “As it turns out, such meshes are discrete versions of the principal curvature lines (which is a topic well known in Discrete Differential Geometry, see [16]).”
• Concrete material science: Past, present, and future innovations (2018, background): “The two ingredients of architectural geometry are discrete differential geometry [235] and numerical optimization.”
• T-systems and Y-systems in integrable systems (2010, background): “Apart from this, there are numerous aspects in type A T-system, sometimes called octahedron recurrence, related to discrete geometry [226, 227, 228], Littlewood-Richardson rule [229], perfect matchings and partition functions on a network [230, 231] and so forth.”