Xiaosheng Zhuang

Nearly tight framelet systems from nested Marcinkiewicz--Zygmund measures on compact Riemannian manifolds

Tight framelet systems on manifolds provide exact energy preservation and one-pass reconstruction, but their standard semi-discretization relies on polynomial-exact quadrature rules, which are difficult to reconcile with scattered and progressively refined data. We develop nested Marcinkiewicz--Zygmund (MZ) measures on...