TY - BOOK ID - 66925389 TI - Spline functions on triangulations AU - Lai, Ming-Jun AU - Schumaker, Larry L. PY - 2007 VL - 110 SN - 9780521875929 0521875927 9780511721588 9781461941552 1461941555 0511721587 9781107390508 1107390508 9781107387584 1107387582 1139883410 9781139883412 1107384079 9781107384071 1107398916 9781107398917 1107395305 9781107395305 051188947X PB - Cambridge : Cambridge University Press, DB - UniCat KW - Spline theory KW - Spline theory. KW - Spline functions KW - Approximation theory KW - Interpolation UR - https://www.unicat.be/uniCat?func=search&query=sysid:66925389 AB - 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-BeĢzier 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. ER -