CAJ | 학술논문

为了整体处理彩色图像，基于四元数彩色图像表示方法和四元数代数理论，定义了四元数调制重叠变换（MQLT），将传统的主要针对灰度图像的复数调制重叠变换（MCLT）推广应用于彩色图像处理中。然后，通过建立 MQLT 系数与彩色图像三通道传统 MCLT 系数之间的关系，分析了 MQLT 系数的对称特性，并基于 MQLT 变换及其系数对称特性，结合 Arnold 变换和冗余嵌入策略，提出了一种鲁棒的双彩色图像盲水印算法。为了避免水印能量损失，修改系数嵌入水印时遵循了系数的对称性。所提算法充分利用了四维频域空间，将有意义的彩色水印嵌入到彩色载体图像中。实验结果表明，所提算法在不可见性和鲁棒性2个方面均明显优于采用传统三通道分别处理思想的 MCLT 算法。
위료정체처리채색도상，기우사원수채색도상표시방법화사원수대수이론，정의료사원수조제중첩변환（MQLT），장전통적주요침대회도도상적복수조제중첩변환（MCLT）추엄응용우채색도상처리중。연후，통과건립 MQLT 계수여채색도상삼통도전통 MCLT 계수지간적관계，분석료 MQLT 계수적대칭특성，병기우 MQLT 변환급기계수대칭특성，결합 Arnold 변환화용여감입책략，제출료일충로봉적쌍채색도상맹수인산법。위료피면수인능량손실，수개계수감입수인시준순료계수적대칭성。소제산법충분이용료사유빈역공간，장유의의적채색수인감입도채색재체도상중。실험결과표명，소제산법재불가견성화로봉성2개방면균명현우우채용전통삼통도분별처리사상적 MCLT 산법。
In order to process color images holistically,by using the quaternion representation of col-or images and the algebra of quaternion,modulated quaternion lapped transform (MQLT)is defined to generalize the conventional modulated complex lapped transform (MCLT)for gray images and applied into the process of color images.Then,the symmetric properties of the MQLT coefficients are analyzed after the establishment of the relationships between the MQLT coefficients and the MCLT coefficients of three channels.Finally,combining with the Arnold transform and multiple re-dundant embedding strategy,a robust blind dual color image watermarking algorithm is proposed based on MQLT and its symmetric property.In order to avoid watermark energy loss,the MQLT coefficients are modified to embed watermarks according to their symmetric properties.The proposed algorithm fully utilizes four-dimensional MQLT domain and embeds a meaningful color watermark into a color host image.The experimental results show that the proposed algorithm is superior to the conventional component-wise algorithm based on the MCLT in terms of invisibility and robustness.