Watermarking Citra Digital menggunakan Contourlet Transform, Discrete Cosine Transform dan Noise Visibility Function

Daniel Setiadikarunia, Riko A Saragih, Yohana Susanthi, Vincent Liu

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Informasi dalam bentuk multimedia digital mudah dilakukan duplikasi dan modifikasi oleh pihak-pihak yang mungkin saja tidak memiliki izin dari pemilik yang sah. Hal ini dapat menimbulkan persoalan pelanggaran hak cipta atas informasi multimedia tersebut. Salah satu cara untuk mengatasi persoalan tersebut adalah dengan digital watermarking. Dalam artikel ini dibahas mengenai teknik watermarking pada citra digital menggunakan contourlet transform (CT) yang digabung dengan discrete cosine transform (DCT) dan perhitungan noise visibility function (NVF). Watermark disisipkan pada koefisien DCT dari subband hasil transformasi contourlet level 2. Penyisipan watermark dilakukan dengan memperhitungkan nilai NVF koefisien CT dari subband yang digunakan. Untuk daerah yang bertekstur, watermark akan disisipkan lebih kuat daripada daerah yang datar. Dari hasil uji coba diperoleh bahwa citra yang telah disisipi watermark mempunyai kualitas yang baik dengan rata-rata nilai peak signal to noise ratio (PSNR) lebih besar dari 35 dB, dan watermark dapat diekstraksi kembali dengan baik dengan rata-rata nilai bit correct ratio (BCR) lebih besar dari 98%. Watermark masih tahan terhadap kompresi JPEG dengan faktor kualitas Q > 9, penambahan noise Gaussian sampai 10%, cropping sampai 25%, dan scaling 75% dan 125%, tetapi tidak tahan terhadap rotasi.

 

Information in the form of digital multimedia can easily be duplicated and modified by parties who may not have the permission of the legal owner. This can lead to issues of copyright infringement of the multimedia information. One solution to overcome this problem is digital watermarking. This article discusses watermarking technique in digital images using contourlet transform (CT) combined with discrete cosine transform (DCT) and noise visibility function (NVF) calculation. Watermark is inserted in the DCT coefficients of level 2 contourlet transform subband. Watermark insertion is done by calculating the NVF value of the CT coefficients of the subband used. For textured areas, the watermark will be inserted stronger than flat areas. From the test results, it is found that the watermarked image has good quality with an average peak signal to noise ratio (PSNR) value greater than 35 dB, and the watermark can be extracted back well with an average bit correct ratio (BCR) value greater than 98%. Watermark is still resistant to JPEG compression with a quality factor Q greater than 9, Gaussian noise addition up to 10%, cropping up to 25%, scaling 75% and 125%, but not resistant to rotation.


Kata Kunci


watermarking; contourlet transform; discrete cosine transform; noise visibility function

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Referensi


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DOI: https://doi.org/10.15575/telka.v8n1.24-35

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