Publications [#287152] of Ingrid Daubechies

Papers Published

1. Daubechies, I; Guskov, I; Sweldens, W, Regularity of irregular subdivision, Constructive Approximation, vol. 15 no. 3 (January, 1999), pp. 381-426 [doi]
   (last updated on 2026/01/13)

   Abstract:
   We study the smoothness of the limit function for one-dimensional unequally spaced interpolating subdivision schemes. The new grid points introduced at every level can lie in irregularly spaced locations between old, adjacent grid points and not only midway as is usually the case. For the natural generalization of the four-point scheme introduced by Dubuc and Dyn, Levin, and Gregory, we show that, under some geometric restrictions, the limit function is always C¹; under slightly stronger restrictions we show that the limit function is almost C², the same regularity as in the regularly spaced case.