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This paper introduces a new inpainting technique denominated Turbo inpainting. The algorithm modifies the K-clustering with singular value decomposition (K-SVD) inpainting method [7] to allow for iterative, progressive improvement. Turbo inpainting is composed of two separate blocks: inner inpainting and outer inpainting. The outer inpainting block(More)
Traditional two-dimensional empirical mode decomposition (2D-EMD) algorithms generate multiple subband signals, each having the same size of the original signal. Thus, huge amounts of data to be stored may be generated. Moreover, the computational load is massive as the decomposition levels increase. This paper introduces a method to reduce the data(More)
This paper introduces a two dimensional version of the empirical mode decomposition (2D-EMD) using an inpainting technique. The most natural use for 2D-EMD is in image processing. The algorithm hereby presented is based on the underlining idea of the one-dimensional EMD presented by Huang et al. in [1], but using inpainting and three surfaces: upper(More)
Undecimated and decimated multivariate empirical mode decomposition filter banks (MEMDFBs) are introduced in order to incorporate MEMD equipped with downsam-pling into any arbitrary tree structure and provide flexibility in the choice of frequency bands. Undecimated MEMDFBs show the same results as those of original MEMD for an octave tree structure. Since(More)
This paper explores the in vivo distributed detection of an undesired biological agent's (BAs) biomarkers by a group of biological sized nanomachines in an aqueous medium under drift. The term distributed, indicates that the system information relative to the BAs presence is dispersed across the collection of nanomachines, where each nanomachine possesses(More)
We present an algorithm which performs data encryption by serially concatenating two transform stages. The outer stage uses one of the orthogonal matrices obtained from the singular value decomposition (SVD) of an arbitrary signal, such as white noise or the sum of cosines of different frequencies. The inner stage of encryption uses a fast, parallelized(More)
This paper explores in vivo disease detection by nanomachines sensing signature biomarkers in an aqueous medium via the principles of molecular distributed detection from a theoretical perspective. The biomarker propagation model is based on solutions to the Fokker-Plank equation, where comparisons in model accuracy between one-dimensional and(More)