<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="Research Article" dtd-version="1.0"><front><journal-meta><journal-id journal-id-type="pmc">iarjet</journal-id><journal-id journal-id-type="pubmed">IARJET</journal-id><journal-id journal-id-type="publisher">IARJET</journal-id><issn>2708-5163</issn></journal-meta><article-meta><article-id pub-id-type="doi">https://doi.org/10.47310/iarjet.2025.v06i01.007</article-id><title-group><article-title>Rate-Distortion Optimized Quantization Index Modulation in Robust Image Watermarking</article-title></title-group><abstract>This paper resents&amp;nbsp;an&amp;nbsp;enhanced scheme utilizing Rate-Distortion&amp;nbsp;Optimized&amp;nbsp;Quantization Index Modulation (RDO-QIM)&amp;nbsp;for image&amp;nbsp;watermarking,&amp;nbsp;emphasizing its ability&amp;nbsp;to balance imperceptibility, robustness and computational&amp;nbsp;efficiency.&amp;nbsp;Unlike&amp;nbsp;conventional&amp;nbsp;QIM-based methods&amp;nbsp;that&amp;nbsp;embed uniformly&amp;nbsp;across&amp;nbsp;all&amp;nbsp;transform&amp;nbsp;coefficients, the proposed approach&amp;nbsp;employs a Lagrangian&amp;nbsp;Rate-Distortion&amp;nbsp;(R-D) criterion to adaptively&amp;nbsp;quantize the coefficients.&amp;nbsp;This dynamically&amp;nbsp;balances embedding distortion&amp;nbsp;and&amp;nbsp;payload&amp;nbsp;rate, achieving&amp;nbsp;superior&amp;nbsp;visual&amp;nbsp;quality without&amp;nbsp;compromising robustness. The&amp;nbsp;algorithm jointly exploits&amp;nbsp;cosine&amp;nbsp;and wavelet&amp;nbsp;coefficients to&amp;nbsp;capture&amp;nbsp;both local&amp;nbsp;and&amp;nbsp;global&amp;nbsp;image features, while&amp;nbsp;a&amp;nbsp;perceptual&amp;nbsp;energy/saliency&amp;nbsp;model&amp;nbsp;directs embedding&amp;nbsp;toward visually tolerant regions.&amp;nbsp;Experimental&amp;nbsp;results&amp;nbsp;on&amp;nbsp;the&amp;nbsp;RSICD&amp;nbsp;dataset&amp;nbsp;and&amp;nbsp;eight standard images&amp;nbsp;confirm&amp;nbsp;significant&amp;nbsp;improvements&amp;nbsp;over&amp;nbsp;a recently published&amp;nbsp;DCT/DWT&amp;nbsp;domains baseline,&amp;nbsp;with&amp;nbsp;PSNR exceeding&amp;nbsp;50&amp;nbsp;dB and&amp;nbsp;SSIM&amp;nbsp;above&amp;nbsp;0.99&amp;nbsp;on&amp;nbsp;average,&amp;nbsp;alongside&amp;nbsp;a&amp;nbsp;notable reduction&amp;nbsp;in&amp;nbsp;bit&amp;nbsp;error&amp;nbsp;rate&amp;nbsp;under&amp;nbsp;various&amp;nbsp;attacks.&amp;nbsp;Although&amp;nbsp;the method&amp;nbsp;introduces&amp;nbsp;moderate computational&amp;nbsp;overhead (≈25% higher&amp;nbsp;runtime)&amp;nbsp;due&amp;nbsp;to&amp;nbsp;the&amp;nbsp;R-D&amp;nbsp;optimization&amp;nbsp;loop,&amp;nbsp;it&amp;nbsp;maintains&amp;nbsp;full blindness&amp;nbsp;and requires&amp;nbsp;no&amp;nbsp;side&amp;nbsp;information&amp;nbsp;for&amp;nbsp;watermark&amp;nbsp;extraction.&amp;nbsp;These findings&amp;nbsp;demonstrate that&amp;nbsp;RDO-QIM&amp;nbsp;is&amp;nbsp;a&amp;nbsp;highly practical&amp;nbsp;and&amp;nbsp;efficient&amp;nbsp;solution&amp;nbsp;for&amp;nbsp;secure,&amp;nbsp;high-fidelity multimedia watermarking.</abstract></article-meta></front><body /><back /></article>