Abstract
Discrete wavelet transform and discrete periodic wavelet transform have
been widely used in image compression and data approximation. Due to
discontinuity on the boundary of original data, the decay rate of the
obtained wavelet coefficients is slow. In this study, we use the
combination of polynomial interpolation and
one-dimensional/two-dimensional discrete periodic wavelet transforms to
mitigate boundary effects. The decay rate of the obtained wavelet
coefficients in our improved algorithm is faster than that of
traditional two-dimensional discrete wavelet transform. Moreover, our
improved algorithm can be extended naturally to the higher-dimensional
case.