Digital Watermarking Based on Contourlet-SVD

Abstract

in this paper, embedding a watermark image is performed in discrete Contourlet transform (CT) domain. It is known that the CT is able to capture the directional edges and contours superior to discrete wavelet transform. The proposed scheme is based on embedding watermark bits into the singular value of the selected blocks within low-pass sub-band of the original gray image CT. Two algorithms, the first uses adaptive quantization and the second uses quantization step, are implemented. Our experimental results show that the method with quantization step has better fidelity in terms of peak signal to noise ratio (PSNR) and is more robust against geometrical and non-geometrical attacks in terms of normalized cross correlation (NC) in comparison with the first method, though, the method with adaptive quantization is blind in the sense only quantization strategies but not the original image is required. Ø§ÙرÙÙÛ Ø¨Ø§ÙÙاء ÙبÙÛ Ø¹ÙÙ CONTOURLET-SVDÙÛ Ùذ٠اÙÙرÙØ©Ø ÙتضÙÛ٠صÙرة ÙائÛØ© Ûت٠تÙÙÛØ°Ùا ÙÛ ÙÙÙصÙØ© Contourlet تحÙÛÙ (CT) اÙÙجاÙ. ÙÙ٠اÙÙعرÙ٠أ٠CT Ùادرة عÙ٠اÙتÙاط Ø­Ùا٠ÙÙعاÙ٠اÙاتجا٠ÙتÙÙÙØ© عÙÙ ÙÙÙصÙØ© تحÙÛ٠اÙÙÙÛجات. ÙÛستÙد اÙÙخطط اÙÙÙترح عÙ٠تضÙÛ٠بت اÙعÙاÙØ© اÙÙائÛØ© Ø¥ÙÙ ÙÛÙØ© ÙرÛدة Ù٠اÙÙطع اÙÙختارة ضÙ٠تÙرÛر ÙÙØ®Ùض اÙÙرعÛØ© اÙÙرÙØ© ÙÙاÙأصÙÛ Ø±ÙØ§Ø¯Û ØµÙرة CT. اثÙÛÙ Ù٠اÙØ®ÙارزÙÛØ§ØªØ Ø£Ù٠تستخد٠تکÙÛ٠اÙتکÛÙ ÙÛستخد٠ثاÙÛ Ø®Ø·ÙØ© تکÙÛÙØ Ûت٠تÙÙÛØ°Ùا. تظÙر ÙÙا اÙÙتائج اÙتجرÛبÛØ© أ٠اÙأسÙÙب Ùع خطÙØ© تکÙÛ٠دÛ٠اÙإخÙاص Ø£Ùض٠ÙÙ Ø­ÛØ« اÙذرÙØ© إشارة Ø¥ÙÙ Ùسبة اÙضÙضاء (PSNR) Ùأکثر ÙÙØ© ضد اÙÙجÙات ÙÙدسÛØ© ÙغÛر ÙÙدسÛØ© ÙÙ Ø­ÛØ« عبر عÙاÙØ© طبÛعÛØ© (NC) ÙÙارÙØ© Ùع اÙطرÛÙØ© اÙØ£ÙÙÙ Ø Ø¹Ù٠اÙرغ٠Ù٠اÙأسÙÙب Ùع تکÙÛ٠اÙتکÛ٠أعÙ٠باÙÙعÙ٠استراتÛجÛات تکÙÛÙ ÙÙØ· ÙÙÚ©Ù ÙÛس ÙØ·ÙÙبا اÙصÙرة اÙأصÙÛØ©. æ°å­æ°´å°åºäºè½®å»-SVD æ½è±¡ å¨æ¬æ中ï¼ææ°´å°åµå¥å¾è±¡ä¸­ç离æ£è½®å»æ³¢åæ¢ï¼CTï¼çå中æ§è¡ãä¼æå¨ç¥ï¼å¨CTè½å¤æè·æ¹åæ§è¾¹ç¼åè½®å»ä¼äºç¦»æ£å°æ³¢åæ¢ãææåºçæ¹æ¡æ¯åºäºæ°´å°æ¯ç¹åµå¥å°æéæ©çåçåå§ç°åº¦å¾åçCTä½éå­å¸¦åçå¥å¼å¼ã两ç§ç®æ³ä¸­ï¼é¦å使ç¨èªéåºéåå第äºä¸ªä½¿ç¨çéåæ­¥é¿ï¼æ¥å®ç°ãæ们çå®éªç»æ表æï¼ä¸éåæ­¥é¿ï¼è¯¥æ¹æ³å·ææ´å¥½çä¿ç度å¨å³°å¼ä¿¡å·æ¡æ¬¾åªå£°æ¯ï¼PSNRï¼åå¨ä¸ç¬¬ä¸ç§æ¹æ³æ¯è¾æ¯é对å¨å½ä¸åäºç¸å³ï¼NCï¼èè¨å ä½åéå ä½æ»å»æ´å¥å£®ä¸è¿ï¼ä¸èªéåºéåçæ¹æ³æ¯å¨è¿ä¸ªæä¹ä¸åªéåç­ç¥ç²ä½å¹¶ä¸éè¦åå§å¾åã