〈II〉型三角剖分下非张量积连续小波基的构造

Construction of Non-tensor Product Semi-orthogonal Continous Wavelet Bases for 〈II〉 Triangular Partition

对〈II〉型三角剖分下的二维线性元空间 ,讨论了半正交连续样条小波基的构造 ,并证明广义Euler -Frobenius多项式在单位圆上无零点 。

The two-dimensional linear space which has 〈II〉 triangular partition is discussed. Construction of semi-orthogonal continuous spline wavelets can be obtained. We show that Generalized Euler-Frobenius polynomial has no zero on the unit circle. Three wavelet functions can form a class of semi-orthogonal bases of compactly supported wavelets.