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math.DS2026
Largest-Angle Bisection and Statistical Regularization of Triangle Shapes
Jérôme Michaud
Largest-angle bisection (LAB) repeatedly divides a triangle by bisecting its largest angle. Although this procedure is known to preserve nondegenerate triangle shapes, less is know…
cs.CG2026
On Triangulations Generated by the Largest-Angle -Section Algorithm
Jérôme Michaud, Sergey Korotov
We define a mesh refinement algorithm based on the rule of dividing the largest angles of triangular elements of planar partitions in focus into equal parts, and analyse the (g…
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…