Abstract. Nonnegative bivariate interpolants to scattered data are constructed using some C1 macro-element spline spaces. The methods are local, and rely on adjusting gradients at ...
Abstract. This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasiinterpolants to compute the control point...
A number of useful bivariate spline methods are global in nature, i.e., all of the coefficients of an approximating spline must be computed at one time. Typically this involves sol...
We present C1 methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R3 . The ...