Theory And Application of Splines

在过去的40年里，样条函数（以其最简单的形式，分段多项式）已经成为一种成熟的计算工具，现在被科学家和工程师广泛使用。本文的研究目的是继续发展样条函数的理论和应用，并建立和测试用于解决某些具体应用问题的算法，特别是在计算机辅助几何设计（CAGD）、计算机辅助制造（CAM）、地质学、计算机辅助几何设计（CAM）等领域中出现的问题。物理学和气象学。

In the past 40 years, spline functions (in their simplest form,piecewise polynomials) have become a well-establishedcomputational tool, and are now widely used by scientistsand engineers. They are used for a variety of purposes,including approximating curves and surfaces,fitting data, computer-aided geometric design (CAGD),computer-aided manufacturing (CAM), solution of differential equations,image processing, etc. The aim of this research is to continue to developthe theory and applications of splines,and to create and test algorithms for solving some specificapplications problems, especially problems arising inCAGD, CAM, geology, geophysics, and meteorology.