IEEE Trans Image Process - 3-D discrete shearlet transform and video processing.

Tópicos

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Resumo

In this paper, we introduce a digital implementation of the 3-D shearlet transform and illustrate its application to problems of video denoising and enhancement. The shearlet representation is a multiscale pyramid of well-localized waveforms defined at various locations and orientations, which was introduced to overcome the limitations of traditional multiscale systems in dealing with multidimensional data. While the shearlet approach shares the general philosophy of curvelets and surfacelets, it is based on a very different mathematical framework, which is derived from the theory of affine systems and uses shearing matrices rather than rotations. This allows a natural transition from the continuous setting to the digital setting and a more flexible mathematical structure. The 3-D digital shearlet transform algorithm presented in this paper consists in a cascade of a multiscale decomposition and a directional filtering stage. The filters employed in this decomposition are implemented as finite-length filters, and this ensures that the transform is local and numerically efficient. To illustrate its performance, the 3-D discrete shearlet transform is applied to problems of video denoising and enhancement, and compared against other state-of-the-art multiscale techniques, including curvelets and surfacelets.

Resumo Limpo

paper introduc digit implement d shearlet transform illustr applic problem video denois enhanc shearlet represent multiscal pyramid wellloc waveform defin various locat orient introduc overcom limit tradit multiscal system deal multidimension data shearlet approach share general philosophi curvelet surfacelet base differ mathemat framework deriv theori affin system use shear matric rather rotat allow natur transit continu set digit set flexibl mathemat structur d digit shearlet transform algorithm present paper consist cascad multiscal decomposit direct filter stage filter employ decomposit implement finitelength filter ensur transform local numer effici illustr perform d discret shearlet transform appli problem video denois enhanc compar stateoftheart multiscal techniqu includ curvelet surfacelet

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