图像的复数表示及其在图像秘密分存中的应用

针对传统图像处理中图像的表示和运算问题，提出了在复平面上表示图像的新思想，并给出了图像和复平面上点的映射算法，即换一个角度用复数运算定义了图像和图像间的“加”、“减”、“乘”、“共轭”等运算关系；同时，将其与经典的数值分存方案相结合，用于数字图像的秘密分存。实验结果表明，该方法有效解决了图像信息秘密分存中的色彩效果和像素膨胀等问题。

The Conversion Method From Image to Complex Number and Its Application in Image Secret Sharing

Concerning the image expression and operation problem of traditional image processing, the novel idea that expressing an image in complex plane is proposed. The conversion method of mapping image to complex number is presented, and the operations of addition, subtraction, multiplication and complex conjugate of image are defined in a new point of veiw. Hence, Combined with the existing threshold access structures scheme, it leads to proposal of using complex number based secret sharing schemes in color images sharing. Experimental results validated that it effectively solved the problems of the size of the shares and the number of colors,etc.