Discrete geometry


Various communities of researchers have thought about this class of problems; there are results scattered through journals on image processing, geometric mechanics, numerical analysis, graph theory, machine learning, general relativity (and more?) Besides its use in various domains of application, discrete geometry also provides fresh insights into classical, continuous geometry (e.g. Regge’s discussion of Bianchi identities in his original paper on Regge calculus).

Discrete exterior calculus, cohomology, etc.

Discrete Riemannian geometry, connections, etc.

Discrete spectral geometry

  • References on graph Laplacians, etc.

Convergence of discrete geometric quantities to their continuous counterparts.

  • Add references.

Discrete geometric mechanics, discrete field theory

General links