stationary vs. undecimated wavelet transform
From what I understand un-decimated wavelet transform (UDWT) involves the elimination of the decimation step to enable DWT to have translational invariance property. The stationary wavelet transform is one such algorithm which is also known as algorithme à trous. There are a number of other algorithms of UDWT a quick google scholar search can you show that but they all use similar ideas to the stationary wavelet transform.