000205283 001__ 205283
000205283 005__ 20190617200724.0
000205283 0247_ $$2doi$$a10.1109/Lsp.2015.2388794
000205283 022__ $$a1070-9908
000205283 02470 $$2ISI$$a000348205500004
000205283 037__ $$aARTICLE
000205283 245__ $$aDivergence-Free Wavelet Frames
000205283 260__ $$bIeee-Inst Electrical Electronics Engineers Inc$$c2015$$aPiscataway
000205283 269__ $$a2015
000205283 300__ $$a5
000205283 336__ $$aJournal Articles
000205283 520__ $$aWe propose an efficient construction of wavelet frames in any number of dimensions that are divergence-free. Our approach is based on applying the Leray projector, which is scale-invariant, to a standard wavelet frame. We prove that the projected wavelets retain the basic characteristics (decay rate and order of vanishing moments) of the initial wavelets. Since the Leray projector is also shift-invariant, it is defined as a Fourier multiplier, and our construction is implemented efficiently using the fast Fourier transform. In order to illustrate the practicality of the method, we present vector field denoising experiments.
000205283 6531_ $$aDenoising
000205283 6531_ $$adivergence-free wavelets
000205283 6531_ $$aflow MRI
000205283 6531_ $$aphase-contrast MRI
000205283 6531_ $$asoft-thresholding
000205283 6531_ $$atight wavelet frames
000205283 6531_ $$avector fields
000205283 6531_ $$avector wavelets
000205283 6531_ $$awavelet denoising
000205283 700__ $$0245428$$g191178$$aBostan, Emrah
000205283 700__ $$0240182$$g115227$$aUnser, Michael
000205283 700__ $$0245475$$g213487$$aWard, John Paul
000205283 773__ $$j22$$tIeee Signal Processing Letters$$k8$$q1142-1146
000205283 8564_ $$uhttp://bigwww.epfl.ch/publications/bostan1502.html$$zURL
000205283 8564_ $$uhttp://bigwww.epfl.ch/publications/bostan1502.pdf$$zURL
000205283 8564_ $$uhttp://bigwww.epfl.ch/publications/bostan1502.ps$$zURL
000205283 909C0 $$xU10347$$0252054$$pLIB
000205283 909CO $$ooai:infoscience.tind.io:205283$$qGLOBAL_SET$$pSTI$$particle
000205283 917Z8 $$x115226
000205283 937__ $$aEPFL-ARTICLE-205283
000205283 970__ $$abostan1502/LIB
000205283 973__ $$rREVIEWED$$sPUBLISHED$$aEPFL
000205283 980__ $$aARTICLE