{"product_id":"9780080525006","title":"Multivariate Polysplines: Applications to Numerical and Wavelet Analysis","description":"\u003cp\u003eMultivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions.\u003c\/p\u003e \u003cp\u003eMultivariate 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.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ePart 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic\u003c\/li\u003e\n\u003cli\u003ePart 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines\u003c\/li\u003e\n\u003cli\u003ePart 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case\u003c\/li\u003e\n\u003cli\u003ePart 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":47124156514544,"sku":"9780080525006","price":140.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780080525006_p0.jpg?v=1763637453","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780080525006","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}