Fast Hermite Projection Method

Krylov, Andrey S.; Korchagin, Danil

doi:10.1007/11867586_31

Cited by 25 publications

(28 citation statements)

References 4 publications

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“…The Hermite projection method has been introduced in various image and speech processing applications [13]- [15]. The Hermite functions are used as the basis functions due to their favorable properties.…”

Section: Hermite Projection Methodsmentioning

confidence: 99%

“…The first step in the Hermite projection method is to remove the baseline, since ψ p (x) → 0, |x| → ∞. Assuming that the two-dimensional signal is given by the function F (x, y), the baseline for a fixed coordinate y can be defined as [13]:…”

Section: Hermite Projection Methodsmentioning

confidence: 99%

“…However, when using image moments, the computational complexity becomes the major issue and difficulty for real-time implementation in software [18]. On the other hand, in our case, the computationally efficient fast Hermite projection method is available for realization of the Hermite expansion (more details could be found in [13]). Note that, the computational time for Hermite expansion in Matlab im- The rest of the procedure is the same as in other watermarking methods (additive watermark embedding and correlation detection) and requires only addition and multiplication operations.…”

Section: Robustness To Noisementioning

confidence: 99%

“…By applying the Hermite projection method, the image is expanded into a certain number of Hermite coefficients, which are used for watermark embedding. It has been shown that the Hermite projection method is efficient in image filtering, compression, image deblocking and texture analysis [13]- [15]. The image can be efficiently reconstructed even when the number of Hermite functions is significantly lower than the number of original coefficients.…”

Section: Introductionmentioning

confidence: 99%

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A Robust Procedure for Image Watermarking based on the Hermite Projection Method

et al. 2012

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Original scientific paperA procedure for combined image watermarking and compression, based on the Hermite projection method is proposed. The Hermite coefficients obtained by using the Hermite expansion are used for watermark embedding. The image can be efficiently reconstructed by using a set of Hermite coefficients that is quite smaller than the number of original ones. Hence, the watermark embedding is actually done in the compressed domain, while maintaining still high image quality (measured by high PSNR). The efficiency of the proposed procedure is proven experimentally, showing high robustness even for very strong standard attacks. Moreover, the method is robust not only to the standard attacks, but to the geometrical attacks, as well. The proposed approach can be suitable for different copyright and ownership protection purposes, especially in real-applications that require image compression, such as multimedia and Internet applications, remote sensing and satellite imaging.Key words: Image watermarking, Image compression, Hermite projection method, Hermite functions, Watermark robustnessRobusna procedura za umetanje vodenog žiga u sliku zasnovana na Hermitovoj projekcijskoj metodi. U radu je predložena procedura za umetanje vodenog žiga u sliku i kompresiju slike zasnovana na Hermitovoj projekcijskoj metodi. Odgovarajući koeficijenti, dobiveni kao rezultat primjene razvoja slike u red Hermitovih funkcija, korišteni su za umetanje vodenog žiga (watermark). S obzirom na to da se slika može efikasno rekonstruirati korištenjem znatno manjeg broja Hermitovih koeficijenata u odnosu na broj originalnih koeficijenata slike, umetanje vodenog žiga zapravo je provedeno u domeni kompresije, uz očuvanje visoke kvalitete slike (velika vrijednost PSNR). Učinkovitost predložene procedure ispitana je eksperimentalno i pokazuje značajnu otpornost na uobiča-jene napade. Osim uobičajenih, procedura pokazuje robusnost i na geometrijske napade. Predloženi pristup može biti korišten u različitim aplikacijama za zaštitu autorskih prava, naročito u aplikacijama koje ujedno zahtijevaju i kompresiju slike, kao što su multimedijske i internetske aplikacije, daljinsko očitavanje podataka i satelitska snimanja.Ključne riječi: Hermitove funkcije, Hermitova projekcijska metoda, kompresija slike, otpornost vodenog žiga, umetanje vodenog žiga u sliku

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Section: Hermite Projection Methodsmentioning

confidence: 99%

Section: Hermite Projection Methodsmentioning

confidence: 99%

Section: Robustness To Noisementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Robust Procedure for Image Watermarking based on the Hermite Projection Method

et al. 2012

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show abstract

“…The main topic of this paper is the problem of choosing the optimal parameters for the sparse representation of frequency hopping spread spectrum (FHSS) signals in the HT domain [8]- [20]. The HT is used in analysis of various signals -biomedical signals (EEG), ultra wideband (UWB) and communication signals, signals in computer tomography, etc.…”

Section: Introductionmentioning

confidence: 99%