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Dynamics of the Longest-Edge Altitude Bisection Algorithm

math.NA · 2026-05-12 · unverdicted · novelty 6.0

LEAB refinement maps the entire normalized triangle shape space onto the right-triangle geodesic in one step, fixes every point on that geodesic, and admits explicit contraction bounds for the discretization parameter.

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  • Dynamics of the Longest-Edge Altitude Bisection Algorithm math.NA · 2026-05-12 · unverdicted · none · ref 1

    LEAB refinement maps the entire normalized triangle shape space onto the right-triangle geodesic in one step, fixes every point on that geodesic, and admits explicit contraction bounds for the discretization parameter.