Alison Powell on Data Walking

Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines

We present C methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R. The methods are based on a local bivariate Powell-Sabin interpolation scheme, and make use of local projections on the tangent planes. The data fitting method is a two-stage method. We illustrate the performance of the algorit...

Alison Cawsey

Alison Cawsey passed away in June 2009. She was a remarkable person and her death is a profound professional and personal loss. Born in 1963, Alison grew up in the south of England and, from 1981 to 1984, studied Natural Sciences at Jesus College Cambridge. During this period she met her life partner Richard. Alison always excelled academically but not always in the sporting arena; however, at ...

On the stability of Powell–Sabin Wavelets

Recently we developed multiscale spaces of C piecewise quadratic polynomials relative to arbitrary polygonal domains Ω ⊂ R. These multiscale bases are weakly stable with respect to the L2 norm. In this paper we show that these bases form strongly stable Riesz bases for the Sobolev spaces Hs(Ω) with s ∈ (2, 5 2 ).

Wccmt Case Study – Alison Ritchie

Edwin Powell Hubble