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Multiscale Likelihood Analysis and Image Reconstruction
The nonparametric multiscale polynomial and platelet methods presented here are powerful new tools for signal and image denoising and reconstruction. Unlike traditional wavelet-based multiscale methods, these methods are ...
Multiscale Likelihood Analysis and Complexity Penalized Estimation
We describe here a framework for a certain class of multiscale likelihood factorization wherein, in analogy to a wavlet decomposition of an LÂ² function, a given likelihood function has an alternative representation as a ...
Platelets for Multiscale Analysis in Medical Imaging
This paper describes the development and use of multiscale, platelet-based image reconstruction algorithms in medical imaging. Such algorithms are effective because platelets approximate images in certain (piecewise) ...
Platelets: A Multiscale Approach for Recovering Edges and Surfaces in Photon-Limited Medical Imaging
This paper proposes a new multiscale image decomposition based on platelets. Platelets are localized functions at various scales, locations, and orientations that produce piecewise linear image approximations. Platelets ...