多尺度函数支撑的计算  

COMPUTATION OF THE SUPPORT OF MULTISCALING FUNCTIONS

作　　者：杨守志[1] 杨晓忠[2] 

机构地区：[1]汕头大学数学系,广东汕头515063 [2]华北电力大学基础科学系

出　　处：《数值计算与计算机应用》2004年第4期262-268,共7页Journal on Numerical Methods and Computer Applications

基　　金：教育部高校骨干教师资助计划项目广东省自然科学基金项目(项目编号:032038)广东省自然科学基金博士科研启动基金项目(项目编号:04300917).

摘　　要：A formula is given for computing the support of eath component function ofa compactly supported multiscaling functions, which satisfying two scaling matrix equation written in the form Φ(X)=∑k=0^N PKΦ(AX-K),where the Φ(X)=[φ1,φ2,…,φr]^T is in (L^2R^s))^r,In addition,two special cases of A=2,r=2,s=1 and A=MI,r=2,s=2 are discussed.The formula is based on the hightest and lowest degrees of each polynomial in the corresponding matrix symbol.A formula is given for computing the support of eath component function of a compactly supported multiscaling functions, which satisfying two scaling matrixequation written in the form , where the φ(X) =[φ1,φ2,……φr]T is in (L2(RS))r. In addition, two special cases of A=2,r=2,s=1 and A=MI,r=2,s=2 are discussed. The formula is based on the hightest and lowest degrees of each polynomial in the corresponding matrix symbol.

关 键 词：多尺度函数 支撑 计算 

分 类 号：O241[理学—计算数学]