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Image inpainting on the basis of spectral structure from 2 d nonharmonic analysis

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Abstract The restoration of images by digital inpainting is an active field of research and such algorithms are, in fact, now widely used. Conventional methods generally apply textures that are most similar to the areas around the missing region or use a large image database. However, this produces discontinuous textures and thus unsatisfactory results. Here, we propose a new technique to overcome this limitation by using signal prediction based on the nonharmonic analysis (NHA) technique proposed by the authors. NHA can be used to extract accurate spectra, irrespective of the window function, and its frequency resolution is less than that of the discrete Fourier transform. The proposed method sequentially generates new textures on the basis of the spectrum obtained by NHA. Missing regions from the spectrum are repaired using an improved cost function for 2D NHA. The proposed method is evaluated using the standard images Lena, Barbara, Airplane, Pepper, and Mandrill.

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Page 1: Image inpainting on the basis of spectral structure from 2 d nonharmonic analysis

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Page 2: Image inpainting on the basis of spectral structure from 2 d nonharmonic analysis

ZEBROS PROJECTS

Office Address: No 4 / Flat No 3D, Sai Kiran Apts, First Main Road, Kasturba Nagar, Chennai-20 web: www.zebros.in e mail : [email protected] mob: 99400 98300,9500075001

Image Inpainting on the Basis of Spectral Structure from 2-D

Nonharmonic Analysis

Abstract

The restoration of images by digital inpainting is an active field of research and

such algorithms are, in fact, now widely used. Conventional methods generally apply

textures that are most similar to the areas around the missing region or use a large

image database. However, this produces discontinuous textures and thus unsatisfactory

results. Here, we propose a new technique to overcome this limitation by using signal

prediction based on the nonharmonic analysis (NHA) technique proposed by the

authors. NHA can be used to extract accurate spectra, irrespective of the window

function, and its frequency resolution is less than that of the discrete Fourier transform.

The proposed method sequentially generates new textures on the basis of the spectrum

obtained by NHA. Missing regions from the spectrum are repaired using an improved

cost function for 2D NHA. The proposed method is evaluated using the standard

images Lena, Barbara, Airplane, Pepper, and Mandrill. The results show an

improvement in MSE of about 10 ∼20 compared with the exemplar-based method and

good subjective quality.

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Page 3: Image inpainting on the basis of spectral structure from 2 d nonharmonic analysis

ZEBROS PROJECTS

Office Address: No 4 / Flat No 3D, Sai Kiran Apts, First Main Road, Kasturba Nagar, Chennai-20 web: www.zebros.in e mail : [email protected] mob: 99400 98300,9500075001

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Page 4: Image inpainting on the basis of spectral structure from 2 d nonharmonic analysis

ZEBROS PROJECTS

Office Address: No 4 / Flat No 3D, Sai Kiran Apts, First Main Road, Kasturba Nagar, Chennai-20 web: www.zebros.in e mail : [email protected] mob: 99400 98300,9500075001

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