Translation-Invariant De-Noising

@incollection{coifman95, abstract = {De-Noising with the traditional (orthogonal, maximally-decimated) wavelet transform sometimes exhibits visual artifacts; we attribute some of these -- for example, Gibbs phenomena in the neighborhood of discontinuities -- to the lack of translation invariance of the wavelet basis. One method to suppress such artifacts, termed "cycle spinning" by Coifman, is to "average out" the translation dependence. For a range of shifts, one shifts the data (right or left as the case may be), De-Noises the...}, address = {Department of Statistics}, author = {Coifman, R. R. and Donoho, D. L.}, booktitle = {Wavelets and Statistics. Lecture Notes in Statistics}, citeulike-article-id = {1639465}, editor = {Antoniadis, A. and Oppenheim, G.}, keywords = {shrinkage, wavelet}, pages = {125--150}, posted-at = {2007-09-09 19:57:20}, priority = {2}, publisher = {Springer, Berlin}, title = {Translation-Invariant De-Noising}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.9552}, volume = {103}, year = {1995} }

TY - CHAP ID - coifman95 L3 - citeulike-article-id:1639465 N2 - De-Noising with the traditional (orthogonal, maximally-decimated) wavelet transform sometimes exhibits visual artifacts; we attribute some of these -- for example, Gibbs phenomena in the neighborhood of discontinuities -- to the lack of translation invariance of the wavelet basis. One method to suppress such artifacts, termed "cycle spinning" by Coifman, is to "average out" the translation dependence. For a range of shifts, one shifts the data (right or left as the case may be), De-Noises the... AD - Department of Statistics EP - 150 TI - Translation-Invariant De-Noising PB - Springer, Berlin VL - 103 T2 - Wavelets and Statistics. Lecture Notes in Statistics SP - 125 KW - shrinkage KW - wavelet AU - Coifman, RR AU - Donoho, DL A2 - Antoniadis, A A2 - Oppenheim, G PY - 1995/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.9552 ER -