Research of point-symmetric boundary extension in wavelet transform
Jianshu Luo · Journal of Computer Applications · 2008
This paper compared several boundary extensions based on wavelet transform.In particular,we analyzed the smoothness on boundary after point-symmetric extension,proposed a point-symmetric extension based on odd-length symmetric filter and proved that it preserved the perfect reconstruction while keeping the signal length unchanged.We used both symmetric extension and point-symmetric extension to analyze and reconstruct finite signals.The result shows that the point-symmetric extension's reconstruction precision is higher than the symmetric extension's.