This volume contains surveys written by leading experts, along with research papers on the developments in approximation theory and in the theory and application of curves and surfaces. Topics addressed include: biharmonic splines, cardinal L-splines, discrete splines, exterior BVPs, financial optimization, framelets, FSI generators, Gabor frames, moving least squares, multiwavelets, nonstationary wavelets, non-MSF wavelets, orthogonal wavelets, penalized least squares, refinable functions, SAR interferometry, smoothing splines, spline bases, spline interpolation, Sturm-Liouville problems, subdivision, thin plate splines and wavelet packets.