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 is the first comprehensive
treatment of the analogous bivariate theory. A detailed
mathematical treatment of polynomial splines on triangulations is
outlined, providing a basis for developing practical methods for
using splines in numerous application areas. The detailed treatment
of the Bernstein-B??zier representation of polynomials will provide
a valuable source for researchers and students in CAGD. Chapters on
smooth macro-element spaces will allow engineers and scientists
using the FEM method to solve partial differential equations
numerically with new tools. Workers in the geosciences will find
new tools for approximation and data fitting on the sphere. Ideal
as a graduate text in approximation theory, and as a source book
for courses in computer-aided geometric design or in finite-element
methods.
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