We propose a denoising algorithm for medical images based on a
combination of the total variation minimization scheme and the
wavelet scheme. We show that our scheme offers effective noise
removal in real noisy medical images while maintaining sharpness
of objects. More importantly, this scheme allows us to implement
an effective automatic stopping time criterion

Wang, Yang

Zhou, Haomin

Crossref

Directory of Open Access Journals

PubMed Central

Hong Kong University of Science and Technology Institutional Repository

English

A.Buades,B.Coll,andJ.-M.Morel,“Anon-localalgorithmfor image denoising,” in

Analysis of total variation penalty methods for ill-posed problems,”

Artifact free signal denoising with wavelets,” in

C a n d ` es

Coherence-enhancing diﬀusion of colour images,”

D o b s o na n dC .R .V o g e l ,“ C o n v e r g e n c eo fa ni t e r a t i v e method for total variation denoising,”

De-noising by soft-thresholding,”

Denoising natural color images,” preprint.

Edge-preserving image reconstructionfromnoisyradondata,”(InvitedspecialissueoftheJournal of Signal Processing on Image and Video Coding Beyond Standards.),

Evolution-operatorbased single-step method for image processing,”

Ideal spatial adaptation by wavelet shrinkage,”

Image decomposition and restorationusingtotalvariationminimizationandH1,” MultiscaleModelingandSimulation,vol.1,no.3,pp.349–370,2003.

Image recovery via total variation minimization and related problems,”

Mathematical analysis of a model which combines total variation and wavelet for image restoration,”

Nonlinear total variation based noise removal algorithms,”

Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage,”

o r t i l l a ,V .S t r e l a ,M .J .W a i n w r i g h t ,a n dE .P .S i m o n -celli, “Image denoising using scale mixtures of Gaussians in the wavelet domain,”

Optimal constructions of wavelet coeﬃcients using total variation regularization in image compression,”

Oscillating Patterns in Image Processing and Nonlinear Evolution Equations,

Scale-space and edge detection using anisotropic diﬀusion,”

Selection of optimal stopping time fornonlineardiﬀusionﬁltering,”InternationalJournalofComputer Vision,

Shadow block iteration for solving linear systems obtained from wavelet transforms,”Applied and Computational Harmonic Analysis,