PMID- 18262947 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20100628 LR - 20080211 IS - 1057-7149 (Print) IS - 1057-7149 (Linking) VI - 9 IP - 12 DP - 2000 TI - A translation- and scale-invariant adaptive wavelet transform. PG - 2100-8 LID - 10.1109/83.887977 [doi] AB - This paper presents a new approach to deal with the translation- and scale-invariant problem of the discrete wavelet transform (DWT). Using a signal-dependent filter, whose impulse response is calculated by the first two moments of the original signal and a scale function of an orthonormal wavelet, we adaptively renormalized a signal. The renormalized signal is then decomposed by using the algorithm of the conventional DWT. The final wavelet transform coefficients, called adaptive wavelet invariant moments (AWIM), are proved to be both translation- and scale-invariant. Furthermore, as an application, we define a new textural feature in the framework of our adaptive wavelet decomposition, show its stability to shift and scaling, and demonstrate its efficiency for the task of scale-invariant texture identification. FAU - Xiong, H AU - Xiong H AD - State Key Laboratory for Image Processing and Intelligence Control, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China. hlxiong@cse.cuhk.edu.hk FAU - Zhang, T AU - Zhang T FAU - Moon, Y S AU - Moon YS LA - eng PT - Journal Article PL - United States TA - IEEE Trans Image Process JT - IEEE transactions on image processing : a publication of the IEEE Signal Processing Society JID - 9886191 CIN - IEEE Trans Image Process. 2003;12(9):1091-3. PMID: 18237980 EDAT- 2008/02/12 09:00 MHDA- 2008/02/12 09:01 CRDT- 2008/02/12 09:00 PHST- 2008/02/12 09:00 [pubmed] PHST- 2008/02/12 09:01 [medline] PHST- 2008/02/12 09:00 [entrez] AID - 10.1109/83.887977 [doi] PST - ppublish SO - IEEE Trans Image Process. 2000;9(12):2100-8. doi: 10.1109/83.887977.