Integer matrix factorization for mesh defect detection
Francesca Rapetti, François Dubois, Alain Bossavit · Comptes Rendus Mathématique · 2002
The topological features of a given domain Ω in ℝ 3 are here analyzed by means of the homology groups of first and second order. Algebraic topology together with a particular 𝒬ℛ type factorization in ℤ can be used to know whether Ω is connected and simply connected, as well as to check if a given discretization of Ω by means of simplices has been correctly realized.