A New Vector Median Filter Based on Fuzzy Metrics

Morillas, Samuel; Gregori, Valentı́n; Perís-Fajarnés, Guillermo; Latorre, Pedro

doi:10.1007/11559573_11

Cited by 33 publications

(29 citation statements)

References 30 publications

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“…In so doing, we need to measure the similarities between all image color pixels x i and y i in X W and Y W , respectively, and the mean color vector in each patch, x W and y W . We denote these similarities by M x i and M y i and we measure them by employing the fuzzy metric used in [19,20,21,22] for its high sensitivity to edges as follows.…”

Section: Proposed Image Similarity Measurementioning

confidence: 99%

Perceptual similarity between color images using fuzzy metrics

Greova

Morillas

2016

Journal of Visual Communication and Image Representation

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In many applications of the computer vision field measuring the similarity between (color) images is of paramount importance. However, the commonly used pixelwise similarity measures such as Mean Absolute Error, Peak Signal to Noise Ratio, Mean Squared Error or Normalized Color Difference do not match well with perceptual similarity. Recently, it has been proposed a method for gray-scale image similarity that correlates quite well with the perceptual similarity and it has been extended to color images. In this paper we use the basic ideas in this recent work to propose an alternative method based on fuzzy metrics for perceptual color image similarity. Experimental results employing a survey of observations show that the global performance of our proposal is competitive with best state of the art methods and that it shows some advantages in performance for images with low correlation among some image channels.

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Section: Proposed Image Similarity Measurementioning

confidence: 99%

Perceptual similarity between color images using fuzzy metrics

Greova

Morillas

2016

Journal of Visual Communication and Image Representation

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“…The filters based on the reduced ordering concept were also modified using the methods derived from the fuzzy sets theory [46][47][48][49][50][51][52]. The simulation results prove that application of the fuzzy concepts offers substantial flexibility and yields excellent performance both in the case of color images and video sequences [53][54][55][56][57][58].…”

Section: Introductionmentioning

confidence: 96%

Fast averaging peer group filter for the impulsive noise removal in color images

Maliński

Smołka

2015

J Real-Time Image Proc

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In the paper, a new approach to the impulsive noise removal in color images is presented. The new filtering design is based on the peer group concept, which determines the membership of a central pixel of the filtering window to its local neighborhood, in terms of the number of close pixels. Two pixels are declared as close if their distance in a given color space does not exceed a predefined threshold value. A pixel is treated as not corrupted by the impulsive noise process, if its peer group consists of at least two close pixels, otherwise this pixel is replaced by a weighted average of uncorrupted samples from the local neighborhood. The peer group size assigned to each pixel is used for the averaging operation, so that pixels which have many peers are taken with higher weight. The new filtering design proved to restore efficiently color images corrupted by even strong impulsive noise, while preserving tiny image details. The beneficial property of the proposed filter is its very low computational complexity, which allows its application in real-time image processing tasks.

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“…They obtained a Hausdorff topology for this kind of fuzzy metric space which has applications in quantum particle physics, particularly in connection with both string and ∞ theory (see, [7] and references mentioned therein). Recently, fuzzy metrics have been applied to improve the color image filtering, some filters were improved when replaced some classical metrics with fuzzy metrics [18][19][20]. Mihet ([17]) proved a "fuzzy Banach contraction result for complete Non-Archimedean fuzzy metric spaces" ( [17]) and modified the concept of fuzzy contractive mappings of Gregori and Sapena [12].…”

Section: Introductionmentioning

confidence: 99%

Optimal coincidence points of proximal quasi-contraction mappings in non-Archimedean fuzzy metric spaces

Raza¹,

Saleem²,

Abbas³

2016

J. Nonlinear Sci. Appl.

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The aim of this paper is to present fuzzy optimal coincidence point results of fuzzy proximal quasi contraction and generalized fuzzy proximal quasi contraction of type − 1 in the framework of complete nonArchimedean fuzzy metric space. Some examples are presented to support the results which are obtained here. These results also hold in fuzzy metric spaces when some mild assumption is added to the set in the domain of mappings which are involved here. Our results unify, extend and generalize various existing results in literature.

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A New Vector Median Filter Based on Fuzzy Metrics

Cited by 33 publications

References 30 publications

Perceptual similarity between color images using fuzzy metrics

Perceptual similarity between color images using fuzzy metrics

Fast averaging peer group filter for the impulsive noise removal in color images

Optimal coincidence points of proximal quasi-contraction mappings in non-Archimedean fuzzy metric spaces

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