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math.NA2026
Dynamics of the Longest-Edge Altitude Bisection Algorithm
Jérôme Michaud, Sergey Korotov
We study a longest-edge based refinement scheme for triangulations, termed the longest-edge altitude bisection (LEAB), in which each triangle is subdivided by dropping the altitude…
math.NA2025
On the Orbits of Similarity Classes of Tetrahedra Generated by the Longest-Edge Bisection Algorithm
Jérôme Michaud, Sergey Korotov
In this work, we study the dynamics of similarity classes of tetrahedra generated by the longest-edge bisection (LEB) algorithm. Building on the normalization strategy introduced b…