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1·The lifting construction exploits predictor and update operator design which is based on the interpolatory discrete splines in a spatial domain.

探讨了空间域中基于离散插值样条的预测算子和更新算子的设计。

2·The approximation of differentiable functions by a kind of interpolatory rational functions is discussed, and the corresponding order of approximation is obtained.

讨论了一类插值有理函数对可微函数的逼近，得到了相应的逼近阶。

3·M-band interpolatory wavelet packets is a sequence space spanned by dilation translates of a iterate function sequence obtained by a cardinal interpolation function.

带插值小波包是根据基插值函数建立的迭代函数序列进行伸缩平移的空间序列。

4·The interpolatory wavelet packets constructed by our method can provide a finer decomposition for the cardinal interpolation space and give a better localization for an adaptive interpolation.

按照这个方法构造的插值小波包能对基插值空间提供较为精细的分解，因而对自适应的插值给出较好的局部化。

5·New algorithm need not directly compute values of B-spline interpolatory function, the values were computed using B-spline scaling relation on sampling points, which had simple and uniform coding.

提出的算法不用计算b -样条函数的显式值，而是利用B -样条的尺度关系计算采样点的值，具有一致且简单的编码。