双正交的α尺度三维八向尺度函数和小波函数构造算法  

Construction algorithm of α scale three-dimensional eight-direction biorthogonal scale function and wavelet function

作　　者：张静[1] 周世行 ZHANG Jing;ZHOU Shihang(College of Mathematical Science,Xinjiang Normal University,Urumqi 830054,China;Development and Planning Department,Xinjiang Normal University,Urumqi 830054,China)

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830054 [2]新疆师范大学发展规划处,新疆乌鲁木齐830054

出　　处：《湖北大学学报（自然科学版）》2018年第3期245-255,共11页Journal of Hubei University：Natural Science

基　　金：新疆师范大学管理服务工作科研项目(XJNUGF201704)资助

摘　　要：研究三维八向小波的多分辨分析及三维八向尺度函数和小波函数正交与双正交的条件,提出一种构造双正交的α尺度三维八向尺度函数和小波函数的方法.The a-scale three-dimensional octave wavelet scaling function is generalized to orthogonal and bi-orthogonal cases.The three-dimensional eight-directional scale function and wavelet function,a method of constructing bi-orthogonal a-scale three-dimensional octave scale function and wavelet function is studied.

关 键 词：三维八向 加细面具 多分辨分析 双正交 

分 类 号：O174.2[理学—数学]