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Inpainting example 1 obtained by applying the proposed method to larger missing areas. (a) Original image (342×512 pixels, 11.2% loss), (b) flag image of (a), and (c) results obtained by the proposed method.

Inpainting example 1 obtained by applying the proposed method to larger missing areas. (a) Original image (342×512 pixels, 11.2% loss), (b) flag image of (a), and (c) results obtained by the proposed method.

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This paper presents an image inpainting method based on sparse representations optimized with respect to a perceptual metric. In the proposed method, the structural similarity (SSIM) index is utilized as a criterion to optimize the representation performance of image data. Specifically, the proposed method enables the formulation of two important p...

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... The basic idea of this approach is to represent an image by the sparse combination of an overcomplete set of transforms; after that, the missing pixels are inferred by adaptively updating this sparse representation. This method is categorized as follows: constrained optimization strategy, the greedy strategy approximation, homotopy algorithm-based sparse representation, and proximity algorithm-based optimization strategy [23][24][25][26][27][28]. ...
... where 1 is a matrix with all elements of 1 and the size of the matrix is the same Ψp and is set to be 0.01 as the balancing strength of the constraints in (20) to (25). The constraint can be rewritten in the following way: ...
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The approach described in this research is an exemplar‐based inpainting problem that combines a two‐stage structure tensor and image sparse representation to fill in any missing pixels. An important step is to select the filling order and local intensity smoothness, as well as to ensure that the structure is not destroyed. We employ a two‐stage structure tensor‐based priority for the filling order: finding the candidate patches and determining the appropriate weight of each candidate patch under the constraint of local patch consistency, then applying a blend of a sparse linear combination of candidate patches to fill in the missing region of the image. In addition, this technique may also be used for object removal. The proposed method yields results that are visually natural and qualitative.
... Over the past few years, the sparse representation of images has attracted researchers due to some of its unique advantages [25]. The sparse approach of an image has been successfully used in different image processing applications like super-resolution, inpainting, denoising, encryption, etc. of greyscale [25][26][27] and colored images [25,[28][29][30]. An image in the sparse domain can be represented by the linear combination of a few sparse vectors or atoms containing a few nonzero or significant coefficients [31]. ...
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... where the Hadamard products with M in the data-fidelity term avoid trivial solutions (i.e., solutions where the unknown pixels' values are kept equal to 0). In this scenario, the data-fidelity term can take different forms, like the Mean Squared Error (MSE) or the Structural Similarity Index Measure (SSIM) [36]. The regularization term can assume a number of formulations as well, such as the L2 norm [37], the L1 norm [38], the Total Variation (TV) norm [39], and so forth. ...
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... They are used to produce better results than diffusion-based techniques. The inpainting process fills the missing region from the neighbour surrounding pixels within the same patch (Ogawa and Haseyama 2013) and (Awati 2016). ...
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... Zhang et al. (2014) introduced the concept of group-based sparse representation (GSR) where similar patches are grouped for sparse representation yielding high-quality image restoration. Ogawa and Haseyama (2013) introduced a structural similarity index metric (SSIM) for the calculation of coe±cients of sparse representation and for updating the dictionary. This method can¯ll large holes without blurring but it leaves some artifacts in the output. ...
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... Afterward, these techniques were expedited by Barnes et al. [9] who proposed PatchMatch, a fast randomized patch search algorithm that could handle the high computational and memory cost. Later such patch-based image completion techniques were improved by Darabi et al. [10] by incorporating gradient-domain image blending, He et al. [11] by computing the statistics of patch offsets and Ogawa et al. [19] by optimizing sparse representations w.r.t. SSIM perceptual metric. ...
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In this paper, we present a novel and efficient algorithm for image inpainting based on the structure and texture components. In our method, after decomposing the image into its texture and structure components using Principal Component Analysis (PCA), these components are inpainted separately using the proposed algorithm. Finally, the inpainted image is simply acquired by adding the two inpainted images. For structure inpainting we used quadtree concept to identify the importance of each pixel located on the boundary of the target region. Subsequently, we detect the correct path for filling so that this path demonstrates an orientation for the better structure inpainting. It is noteworthy that structure inpainting is more important because human vision is sensitive to the coherence of structure. For texture inpainting, we use Euclidean distance in the texture component for patch selection. Also, the geometric feature is considered by Local Steering Kernel (LSK) in the original image to assist chooing a better patch candidate. The experimental results of our algorithm demonstrate the effectiveness of the proposed method. © 2020 Materials and Energy Research Center. All rights reserved.
... Consequently, introducing objective metrics is one of the challenges in this scope. The PSNR [39], SSIM [30] are quality metrics that are used for determining algorithm performance when the reference image is available. ...
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... Zhang et al. proposed a sparse representation model for a group of similar structure patches instead of considering a patch as a basic unit of sparse representation [41]. Ogawa and Haseyama applied the SSIM metric for computing sparse representation coefficients and dictionary updating [30]. Fan and Zhang considered adaptive patch size based on patch sparsity also proposed new metrics for patches difference to acquire rotation invariant matched patches [14]. ...
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In this paper, we present a new algorithm for image inpainting using structure and texture information. Our image decomposition to texture and structure is accomplished by the SVD method in the primary step, and then an algorithm for texture inpainting is applied. At the next level, edge detection is used in target region related to inpainted texture component. The detected edges demonstrate border of different textures in the target region, and the boundary pixels are ignored from mask temporarily. The other target pixels should be primarily inpainted, and then border pixels would be filled subsequently. Experimental results of this algorithm show better consistency in comparison with state of the art methods.
... Differential based inpainting uses the concept of variational methods and PDEs. Exemplar based inpainting focuses on filling absent information from nearby surrounding pixels at patch level (Ogawa and Haseyama, 2013;Amasidha et al., 2016;Vreja and Brad, 2014). The performance assessment of image inpainting can be judged on the basis of the produced subspaces and linear coefficients for estimating linear combination (Ogawa and Haseyama, 2013). ...
... Exemplar based inpainting focuses on filling absent information from nearby surrounding pixels at patch level (Ogawa and Haseyama, 2013;Amasidha et al., 2016;Vreja and Brad, 2014). The performance assessment of image inpainting can be judged on the basis of the produced subspaces and linear coefficients for estimating linear combination (Ogawa and Haseyama, 2013). ...
... This technique not only works on geometric methods but also on hybrid and texture methods. A simple flow chart of the technique is given in Fig. 7. Ogawa and Haseyama (2013) presented a technique based upon sparse representations improved concerning with perpetual metric. The technique presented uses Structural Similarity (SSIM) index for the better conduct of the image data. ...
... Thus, to obtain a virtual restored image which is faithful to the original as much as possible, we recently proposed an improvement to this algorithm. In this improved version, the identified bleed-through pattern is inpainted in continuity with its surrounding, by using techniques of image inpainting based on sparse representation [32], [33]. ...
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In recent years, extensive campaigns of digitization of the documental heritage conserved in libraries and archives have been performed, with the primary goal to ensure the preservation and fruition of this important part of the human cultural and historical patrimony. Besides protecting conservation, the availability of high quality digital copies has increasingly stimulated the use of image processing techniques, to perform a number of operations on documents and manuscripts, without harming the often precious and fragile originals. Among those, virtual restoration tasks are crucial, as they facilitate the traditional work of philologists and paleographers, and constitute a first step towards an automatic analysis of the written contents. Here we report our experience in this field, referring, as a case study, to the problem of removing one of the most frequent and impairing degradations affecting ancient manuscripts, i.e., the bleed-through distortion. We show that techniques of blind source separation are versatile tools to either cancel these unwanted interferences or isolate specific features for content analysis goals. Specialized algorithms, based on recto-verso models and sparse image representation, are then shown to be able to perform a fine and selective removal of the degradation, while preserving the original appearance of the manuscript.