Wavelet shrinkage with correlated wavelet coefficients

TitleWavelet shrinkage with correlated wavelet coefficients
Publication TypeConference Paper
Year of Publication2001
AuthorsAzimifar, Z., P. Fieguth, and E. Jernigan
Conference NameInternational Conference on Image Processing
Conference LocationGreece
KeywordsBayes methods, Bayesian wavelet shrinkage, correlated wavelet coefficients, Image Denoising, image resolution, multiscale wavelet coefficients, random field model, signal denoising, smoothing methods, statistical analysis, statistical correlations, wavelet transforms

This paper investigates the statistical characterization of multiscale wavelet coefficients corresponding to random signals and images. Virtually all approaches to wavelet shrinkage model the wavelet coefficients as independent; we challenge that assumption and demonstrate several cases where substantial correlations may be present in the wavelet domain. In particular, the correlation between scales can be surprisingly substantial, even for pixels separated by several scales. Our goal is to develop an efficient random field model describing these statistical correlations, and demonstrate its effectiveness in the context of Bayesian wavelet shrinkage for signal and image denoising