Abstract

In this paper, we apply combination of sparse representations and a total variation for reconstruction of retinal optical coherence tomography (OCT) images. The OCT imaging is based on interferometry, therefore OCT images suffer from the existence of a high level of noise. Utilization of effective interpolation and denoising algorithms are necessary to reconstruct high-resolution OCT images, especially when the subsampling of data is done during acquisition. In this paper, we take total variational and Morphological Component Analysis (MCA) techniques to reduce noise and interpolate missing data. Different over-complete dictionaries are constructed by using curvelet transform, wavelet transform or DCT, which represent the texture and cartoon layers in B-scans. Comparative analysis of image interpolation is done by two combinations of dictionaries, which are (DCT+Curvelet) and (DWT+Curvelet) transforms. Layered structures are more distinguished in reconstructed image with curvelet dictionary and textures are mostly detectable by wavelet or DCT. Evaluations are done both visually and in terms of different performance measures. Our simulation results show that the (DCT+Curvelet) combination preserve the texture of the image well and the (DWT+Curvelet) combination has better performance in structure preservation.

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