Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential in computer aided geometric design (CAGD and CAD/CAM systems), geophysics, magnetism, geodesy, geography, wavelet analysis and signal and image processing. In many cases involving practical data in these areas, polysplines are proving more effective than well-established methods, such as kKriging, radial basis functions, thin plate splines and minimum curvature.
Read alsoWizard's Trap
Laurel always had a thing for sexy, good-looking Gil, and he wanted her, but the time was never right. Now he's missing and presumed dead. Laurel tries to contact his spirit and succeeds-but she discovers he isn't a ghost. Instead, he's a wizard who's cursed and imprisoned on the astral plane. Communicating with Laurel through his diary, Gil…
Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines.
Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case.
Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property.