离散点集上的准小波基  

Wavelet-like bases defined on a discrete set of points

作　　者：石智[1] 王军秋[2] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071 [2]西安建筑科技大学理学院,陕西西安710055

出　　处：《西安建筑科技大学学报（自然科学版）》2002年第3期299-301,共3页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

摘　　要：Daubechies小波基和多小波基都是建立在 L2 (R)或 L2 (Rn)上 .一种定义在平面离散点集 {x1 ,… ,xn}{y1 ,… ,yn} R2 上的类似于多小波的准小波基被研究 ,它与通常小波基的差别在于不是由 V0 空间的一个函数通过伸缩平移构成而仅仅是类似 .如果已知一个函数在平面离散点集上的值而要表示这个函数时 ,使用这种准小波基更方便 .The Daubechies wavelet bases and the multi wavelet base lie in the space of square integrable function L 2(R)or L 2(R n). An analogue of the multi wavelet bases which lie in the space of functions defined on a discrete set of points {x 1,...,x n}×{y 1,...,y n}R 2 is taken into account. The structure of this analogue is essentially similar to that of the multi wavelet bases, but the construction is more convenient when the representation of a function and its related operators are based on its values at {x 1,...,x n}×{y 1,...,y n}R 2 . Such representation in finite difference computation and some integral equations proved to be more useful.

关 键 词：离散点集 多项式 准小波基 

分 类 号：O241.5[理学—计算数学]