湖北大学学报（自然科学版）
湖北大學學報（自然科學版）
호북대학학보（자연과학판）
2013年
3期
361-369,374
,共10页
二维四向小波%双正交%多分辨分析%两尺度方程%加细面具
二維四嚮小波%雙正交%多分辨分析%兩呎度方程%加細麵具
이유사향소파%쌍정교%다분변분석%량척도방정%가세면구
two-dimensional four-direction wavelet%biorthogonal%MRA%two scaling function%refine mask
通过张量积构造二维四向小波函数和尺度函数，给出二维小波多分辨分析，并得到二维小波的正交条件以及双正交条件，给出二维四向双正交小波包和关于双正交小波的相关性质和结论。
通過張量積構造二維四嚮小波函數和呎度函數，給齣二維小波多分辨分析，併得到二維小波的正交條件以及雙正交條件，給齣二維四嚮雙正交小波包和關于雙正交小波的相關性質和結論。
통과장량적구조이유사향소파함수화척도함수，급출이유소파다분변분석，병득도이유소파적정교조건이급쌍정교조건，급출이유사향쌍정교소파포화관우쌍정교소파적상관성질화결론。
On the basis of the existing two-dimensional wavelet , four-direction and two-dimensional wavelet was constructed by tensor product ,and then wavelet multi-resolution analysis was done , and the two-dimensional wavelet orthogonal and biorthogonal conditions were given , biorthogonal two dimensional four-direction wavelet packets ,and related properties and conclusions were obtained ,respectively .
