A new method for removal of edge artifacts using a 2D extrapolated discrete wavelet transform with biorthogonal wavelets

The discrete wavelet transform (DWT) is a tool extensively used in image processing algorithms. It can be used to decorrelate information from the original image, which can thus help in compressing the data for storage, transmission or other post-processing purposes. However, the finite nature of such images gives rise to edge artifacts in the reconstructed data. A commonly used technique to overcome this problem is a symmetric extension of the image, which can preserve zeroth order continuity in the data. This still produces undesirable edge artifacts in derivatives and subsampled versions of the image. To overcome this problem, we present a new method of wavelet analysis by extrapolating the image based on a method presented by Therrien and El-Shaer (1989) and extended by Kuduvalli and Rangayyan (1993).