图像的复数表示及其在图像秘密分存中的应用

孙伟; 杨志华; 齐东旭

doi:10.11834/jig.2004011256

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图像的复数表示及其在图像秘密分存中的应用
The Conversion Method From Image to Complex Number and Its Application in Image Secret Sharing
2004年9卷第11期页码：1331
纸质出版：2004
DOI： 10.11834/jig.2004011256
稿件说明：

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孙伟, 杨志华, 齐东旭. 图像的复数表示及其在图像秘密分存中的应用[J]. 中国图象图形学报, 2004,9(11):1331. DOI： 10.11834/jig.2004011256.

The Conversion Method From Image to Complex Number and Its Application in Image Secret Sharing[J]. Journal of Image and Graphics, 2004, 9(11): 1331. DOI： 10.11834/jig.2004011256.

摘要

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。

Abstract

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.