Research On Mathematical Methods Of Digital Image Hiding And Their Applications

Digital image information hiding is a new problem of information security presented in recent years, its aims are to transfer digital images and to store digital images in secure way. By now, many algorithms have been provided, a lot of experimental results have been given. However, the researches of the mathematical theory of information hiding are not deep enough, experimental results are not analyzed in detail. Facing with these problems, aims of this paper will mainly focus on following aspects:Image sharing is explained as following: a secret image is shared into many images under certain conditions, these shared images are protected by different people respectively, when the secret image is needed to be reconstructed, some shared images will be collected together, the secret image can be reconstructed by computation . Beginning from white and black images, this paper provides some color image sharing algorithms based on Lagarange interpolation, moving lines of computer graphics, Chinese remainder theorem of cryptography. This paper also gives mathematical description of these algorithms.Steganography is to hide digital image in other data. The differences between steganography and cryptography are that steganography hides information in innocent data and permits enemy to attack and to damage the data with hidden information. However, the hidden information still exists and does not lose. In this paper, a method of digital image hiding based on many-knot spline of computer graphics is provided and is applied to voice hiding, mesh hiding and multimedia hiding.Watermark is one of important research aspects of information hiding, watermark researches are developing rapidly in recent years, the scientists of information hiding from all over the world are paying their research attentions to this field currently. This paper gives a review of the latest watermark technology and a watermark algorithm of 2D engineering graphs is provided , moreover, some watermark technologies in computer graphics are also introduced.Digital image scrambling transforms image into chaos, scrambled image will lose the meaning of original images. Even if thieves steal the scrambled images, they can not reconstruct original ones. However, with de-scrambling algorithms...