Spline Functions on Triangulations

摘要: Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. The theory of univariate splines is well known but this text the first comprehensive treatment analogous bivariate theory. A detailed mathematical polynomial on triangulations outlined, providing a basis for developing practical methods using numerous application areas. Bernstein-Bezier representation polynomials will provide valuable source researchers students CAGD. Chapters smooth macro-element spaces allow engineers scientists FEM method to solve partial differential equations numerically with new tools. Workers geosciences find data fitting sphere. Ideal graduate book courses design or finite-element methods.