True 2-D wavelet transform based on periodic extension
Xueling Yang · Tianjin Gongye Daxue xuebao · 2012
The application of the period extension in a true 2-D wavelet transform is studied,and the methods for determining the maximum decomposition level and sizes of every level of block are given.The original block of row or column length is not limited to 2n,it can be any integer,and the row and column coordinate of the upper left corner of the image data can be any combination of odd and even.The data of wavelet decomposition is equal to or slightly larger than the original block.If ignoring the problem of limited accuracy,the data can be completely reconstructed.Taking true 2-D 5/3 wavelet transform as an example,the wavelet decomposition and reconstruction procedures are given.