精品文档---下载后可任意编辑一类多参数分形插值函数系统及其曲面拟合的开题报告题目：一类多参数分形插值函数系统及其曲面拟合摘要：本文将讨论一类多参数分形插值函数系统，并探讨其在曲面拟合中的应用。首先，介绍了分形几何的基本概念和分形插值的基本原理，然后针对现有分形插值函数系统的不足，提出了一种新的多参数分形插值函数系统，并讨论了其分形维数和局部振幅。最后，将多参数分形插值函数系统应用于曲面拟合问题，并与其他方法进行对比分析，证明了其有效性和优越性。关键词：多参数分形插值函数系统，曲面拟合，分形维数，局部振幅Abstract: This paper will study a type of multi-parameter fractal interpolation function system and explore its application in surface fitting. Firstly, the basic concepts of fractal geometry and the basic principles of fractal interpolation are introduced. Then, aiming at the deficiencies of the existing fractal interpolation function system, a new multi-parameter fractal interpolation function system is proposed, and its fractal dimension and local amplitude are studied. Finally, the multi-parameter fractal interpolation function system is applied to the problem of surface fitting, and compared with other methods, proving its effectiveness and superiority.Keywords: multi-parameter fractal interpolation function system, surface fitting, fractal dimension, local amplitude.
