An image coding/decoding method based on direct and inverse fuzzy transforms

Martino, Ferdinando Di; Loia, Vincenzo; Perfilieva, Irina; Sessa, Salvatore

doi:10.1016/j.ijar.2007.06.008

Cited by 167 publications

(98 citation statements)

References 16 publications

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“…The two input compressed images are compared from the tamper detection function (which calculates the TF and FP indexes above defined) and from the tamper localization function, which produces the two levels of the tamper localization image. We have used the Fuzzy Transforms (shortly, Ftransforms) [10,11,22] for coding/decoding images. In [11] we showed that the F-transforms give better results with respect to the fuzzy relation equations and give results comparable with the ones obtained by using the JPEG compression method in terms of image quality and coding/decoding time.…”

Section: Tamper Analysismentioning

confidence: 99%

“…We have used the Fuzzy Transforms (shortly, Ftransforms) [10,11,22] for coding/decoding images. In [11] we showed that the F-transforms give better results with respect to the fuzzy relation equations and give results comparable with the ones obtained by using the JPEG compression method in terms of image quality and coding/decoding time. The watermark insertion is made with the block-based watermarking scheme described in [5].…”

Section: Tamper Analysismentioning

confidence: 99%

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Fuzzy Transforms and Fragile Watermarking Tamper Detection on Coded Images

Martino

Sessa²

2011

Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)

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An original image is compressed with fuzzy transforms and is divided in images of sizes 2×2 on which we apply a known fragile watermarking process. A preprocessing phase is considered to determine the better compression rate for the coding process. We test this scheme in tamper detection analysis on a sample of images. The results are good in terms of accuracy for tamper detection with compressed images and in terms of dimension of the image dataset used for storage of the original images.

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Section: Tamper Analysismentioning

confidence: 99%

Section: Tamper Analysismentioning

confidence: 99%

Fuzzy Transforms and Fragile Watermarking Tamper Detection on Coded Images

Martino

Sessa²

2011

Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)

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“…F-transforms are a powerful flexible method to be applied in various domains such as image compression [31], detection of attribute dependencies in data analysis [32] and extraction of the trend cycle of time series [33].…”

Section: Introductionmentioning

confidence: 99%

Time Series Seasonal Analysis Based on Fuzzy Transforms

Martino

Sessa

2017

Symmetry

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Abstract:We define a new seasonal forecasting method based on fuzzy transforms. We use the best interpolating polynomial for extracting the trend of the time series and generate the inverse fuzzy transform on each seasonal subset of the universe of discourse for predicting the value of an assigned output. In the first example, we use the daily weather dataset of the municipality of Naples (Italy) starting from data collected from 2003 to 2015 making predictions on mean temperature, max temperature and min temperature, all considered daily. In the second example, we use the daily mean temperature measured at the weather station "Chiavari Caperana" in the Liguria Italian Region. We compare the results with our method, the average seasonal variation, Auto Regressive Integrated Moving Average (ARIMA) and the usual fuzzy transforms concluding that the best results are obtained under our approach in both examples. In addition, the comparison results show that, for seasonal time series that have no consistent irregular variations, the performance obtained with our method is comparable with the ones obtained using Support Vector Machine-and Artificial Neural Networks-based models.

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“…Fuzzy relation contributed to a very intensive development of new areas of fuzzy mathematics. These new areas include particularly fuzzy topology, or more generally, a fuzzy closure operators, further fuzzy rough sets and, recently, fuzzy transform as a method successfully used in signal and image processing [1], compression [10], numerical solutions of ordinary and partial differential equations [4,16], data analysis [11] and many other applications. Fuzzy transform (or F-transform, shortly), is relatively new, it was firstly proposed by Perfilieva [12].…”

Section: Introductionmentioning

confidence: 99%

Spaces with fuzzy partitions and fuzzy sets

Močkoř¹,

Holčapek²

2017

The Oxford Journal of Intelligent Decision and Data Science

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A theory of fuzzy objects is derived in the category SpaceFP of spaces with fuzzy partitions, which generalize classical fuzzy sets and extensional maps in sets with similarity relations. It is proved that fuzzy objects in SpaceFP can be characterized by some morphisms in the category of sets with similarity relations. A powerset object functor F in the category SpaceFP is introduced and it is proved that F defines a CSLAT -powerset theory in the sense of Rodabaugh.

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An image coding/decoding method based on direct and inverse fuzzy transforms

Cited by 167 publications

References 16 publications

Fuzzy Transforms and Fragile Watermarking Tamper Detection on Coded Images

Fuzzy Transforms and Fragile Watermarking Tamper Detection on Coded Images

Time Series Seasonal Analysis Based on Fuzzy Transforms

Spaces with fuzzy partitions and fuzzy sets

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