Multivariate Splines (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 54) by Charles K. Chui (PDF)

Description

The subject of multivariate splines has become a rapidly growing field of mathematical research. The author presents the subject from an elementary point of view that parallels the theory and development of univariate spline analysis. To compensate for the missing proofs and details, an extensive bibliography has been included. There is a presentation of open problems with an emphasis on the theory and applications to computer-aided design, data analysis, and surface fitting. Applied mathematicians and engineers working in the areas of curve fitting, finite element methods, computer-aided geometric design, signal processing, mathematical modelling, computer-aided design, computer-aided manufacturing, and circuits and systems will find this monograph essential to their research.

User’s Reviews

Editorial Reviews: Review ‘This is a narration about the multivariate splines, mostly without proofs and details, with many examples treating important particular cases, with many formulas and recurrence relations, complete description of computational algorithms, and an extensive bibliography. The book would appeal to students, scientists and engineers.’ B. Boyanov, Mathematical Reviews Book Description Subject of multivariate splines presented from an elementary point of view; includes many open problems.

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