Noise reduction by constrained reconstructions in the wavelet-transform domain. Department of Mathematics, Dart-NONLINEAR WAVELET METHODS 203 Andrew Bruce and Carl Taswell for many discussions aboutâ€¦ (More)

In this paper we discuss a natural way to deene barycentric coordinates on general sphere-like surfaces. This leads to a theory of Bernstein-B ezier polynomials which parallels the familiar planarâ€¦ (More)

Spaces of polynomial splines deened on planar triangulations are very useful tools for tting scattered data in the plane. Recently, 4, 5], using homogeneous polynomials, we have developed analogousâ€¦ (More)

Bounds are provided on how well functions in Sobolev spaces on the sphere can be approximated by spherical splines, where a spherical spline of degree d is a C r function whose pieces are theâ€¦ (More)

We construct orthogonal and biorthogonal wavelets on a given closed subset of the real line. We also study wavelets satisfying certain types of boundary conditions. We introduce the concept ofâ€¦ (More)

Macro-elements of smoothness C r on Powell-Sabin triangle splits are constructed for all r 0. These new elements are improvements on elements constructed in 10] in that certain unneeded degrees ofâ€¦ (More)

We show how C 2 supersplines of degree 6 can be used to interpolate Hermite data at the vertices of a quadrangulation. We also present error bounds which show that our method has full approximationâ€¦ (More)

Schumaker, L.L., Computing optimal triangulations using simulated annealing, Computer Aided Geometric Design 10 (1993) 329-345. Triangulations play an important role in approximation, CAGD, numericalâ€¦ (More)