CN108898537B - A kind of digital picture steganography method - Google Patents

A kind of digital picture steganography method Download PDF

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Publication number
CN108898537B
CN108898537B CN201810285937.6A CN201810285937A CN108898537B CN 108898537 B CN108898537 B CN 108898537B CN 201810285937 A CN201810285937 A CN 201810285937A CN 108898537 B CN108898537 B CN 108898537B
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image
scramble
transformation
carrier
secret information
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CN108898537A (en
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陈贞佐
叶勇超
杨任尔
陈计
朱骞
叶蒙梦
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Ningbo University
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Ningbo University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T1/00General purpose image data processing
    • G06T1/0021Image watermarking

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Abstract

The present invention relates to a kind of digital picture steganography methods, for secret information to be embedded in carrier image, it is transmitted with generating Secret Image, it is characterised in that include the following steps: Step 1: carrying out multiple Arnold scramble transformation to experimental vehicle image forms carrier image space;Step 2: secret information to be embedded is respectively embedded in the image in carrier image space;Hidden image is obtained with Arnold scramble transformation Step 3: close scramble image will be carried;Step 4: selecting final carrier image, and using k as key;Step 5: carrier image is carried out k Arnold scramble transformation as final carrier image, secret information is embedded in final carrier image using key k, then the final close image of load is carried out n-k Arnold scramble transformation, forms final hidden image.The present invention can make to be embedded in after secret information is distorted minimum caused by carrier image.

Description

A kind of digital picture steganography method
Technical field
The present invention relates to a kind of digital picture steganography methods.
Background technique
Steganography is a kind of Information Hiding Techniques by the way that secret information to be hidden in other media bearers, as carrier Digital Media can be text, image, audio, video etc., be considered as the most common carrier since digital picture capacity is larger. Target based on digital picture steganographic algorithm is insertion secret information as much as possible, and does not destroy each of carrier image as far as possible A characteristic, that is, reach that image fault is as small as possible, and keeps the statistical nature of image.In steganography system, steganography mistake Journey can be by formula s=Em(c, m) description, wherein c is carrier image, and s is hidden image, and m is secret information to be embedded, EmFor Steganography embedded mobile GIS.Steganalysis is by the change of detection carrier image feature or exception to determine whether comprising secret Information, it is clear that the performance of steganographic system and insertion distortion function f=D (c, s) are closely related, can release distortion letter by two formulas above Number f=D (c, Em(c,m)).It can be seen that the performance of steganographic system is not only related to steganography embedded mobile GIS, also with the close phase of carrier image It closes.
Summary of the invention
It, should the technical problem to be solved by the present invention is to provide a kind of digital picture steganography method for the above-mentioned prior art Method can make to be embedded in after secret information is distorted minimum caused by carrier image, or is similarly distorted situation in carrier image Under, the secret information capacity of insertion reaches maximum.
The technical scheme of the invention to solve the technical problem is: a kind of digital picture steganography method, feature It is to include the following steps:
Step 1: to experimental vehicle image c0It carries out an Arnold scramble transformation and forms the first scramble image c1, wherein setting Random formula is as follows:
Wherein x, y be experimental vehicle image in a certain pixel where position coordinates, x ', y ' be scramble transformation after should Position coordinates where pixel,For image array, wherein a, b are preset natural number, and N is image array Order;
Step 2: to the first scramble image c1An Arnold scramble transformation is carried out again forms the second scramble image c2, with this Analogize, by the i-th scramble image ciI+1 scramble image c is formed by an Arnold scramble transformationi+1, i ∈ therein 1, 2 ... n }, finally by experimental vehicle image c0Carrier image space C={ c is formd by a series of Arnold scramble transformation0, c1,c2,…,cn, wherein n is the shuffling cycle of experimental vehicle image, and the size of shuffling cycle and image has relationship;
Step 3: secret information to be embedded is converted to binary code stream m, a kind of common image latent writing side is selected The binary code stream m of secret information is respectively embedded in carrier image space C={ c by method0,c1,c2,…,cnIn n+1 figure As in, forms n+1 and carry close scramble image Asj(j∈{0,1,2,…n});
Step 4: carrying close scramble image As for n+1j(j ∈ 0,1,2 ... n }) by with Arnold scramble transformation point Hidden image s is not obtainedj: close scramble image As is carried for one ofj, n-j Arnold scramble transformation of progress can be obtained hidden Write image sj, wherein j ∈ { 0,1,2 ... n };
Step 5: an index of the image latent writing method performance of specified evaluation, passes through following formula: k=arg min D(c0,sj) j ∈ { 0,1,2 ... n }, the scramble image with secret information best match to be embedded is selected as final carrier Image, arg min D (c0,sj) indicate hidden image sjCompared to experimental vehicle image c0It is deemed-to-satisfy4 in specified image latent writing The minimum value of distortion value in energy, and using k as key;
Step 6: the key k obtained using step 5, carries out setting for k Arnold scramble transformation formation for carrier image The final carrier image that random image is embedded in as secret information, the binary code for being converted secret information using image latent writing method Stream m be embedded in final carrier image, form the close image of final load, then recycle key k the final close image of load into N-k Arnold scramble transformation of row, forms final hidden image.
In the step 2, when experimental vehicle image size is 512 × 512, shuffling cycle n is 383.
In the step 1, a=b=1.
Compared with the prior art, the advantages of the present invention are as follows: the present invention utilizes Arnold scramble transformation by a width carrier figure As the multiple carrier images with different statistical properties of generation, that is, construct the load being made of multiple versions of carrier image Volumetric image space, in order to improve the performance of steganographic system, during steganography can carrier image space search to secret The carrier image version of information best match so that insertion processing is distorted minimum caused by image, or is similarly being distorted In the case of, embedding capacity reaches maximum.
Detailed description of the invention
Fig. 1 be the embodiment of the present invention in step 1 to step 5 flow chart.
Fig. 2 is to carry out image transmission and received flow chart using digital picture steganography method in the embodiment of the present invention.
Specific embodiment
The present invention will be described in further detail below with reference to the embodiments of the drawings.
Digital picture steganography method provided in this embodiment, for secret information to be embedded in carrier image, to generate secret Image is transmitted comprising following steps:
Step 1: to experimental vehicle image c0It carries out an Arnold scramble transformation and forms the first scramble image c1, wherein setting Random formula is as follows:
Wherein x, y be experimental vehicle image in a certain pixel where position coordinates, x ', y ' be scramble transformation after should Position coordinates where pixel,For image array, wherein a, b are preset natural number, in the present embodiment A=b=1, N are the order of image array, the image of corresponding 512*512, N 512;
Step 2: to the first scramble image c1An Arnold scramble transformation is carried out again forms the second scramble image c2, with this Analogize, by the i-th scramble image ciI+1 scramble image c is formed by an Arnold scramble transformationi+1, i ∈ therein 1, 2 ... n }, finally by experimental vehicle image c0Carrier image space C={ c is formd by a series of Arnold scramble transformation0, c1,c2,…,cn, wherein n is the shuffling cycle of experimental vehicle image, and the size of shuffling cycle and image has relationship;When experiment carries When body image size is 512 × 512, shuffling cycle n is 383;
Step 3: secret information to be embedded is converted to binary code stream m, a kind of common image latent writing side is selected The binary code stream m of secret information is respectively embedded in carrier image space C={ c by method0,c1,c2,…,cnIn n+1 figure As in, forms n+1 and carry close scramble image Asj(j∈{0,1,2,…n});
Step 4: carrying close scramble image As for n+1j(j ∈ 0,1,2 ... n }) by with Arnold scramble transformation point Hidden image s is not obtainedj: close scramble image As is carried for one ofj, n-j Arnold scramble transformation of progress can be obtained hidden Write image sj, wherein j ∈ { 0,1,2 ... n };
Step 5: an index of the image latent writing method performance of specified evaluation, passes through following formula: k=arg min D(c0,sj) j ∈ { 0,1,2 ... n }, the scramble image with secret information best match to be embedded is selected as final carrier Image, arg min D (c0,sj) indicate hidden image sjCompared to experimental vehicle image c0It is deemed-to-satisfy4 in specified image latent writing The minimum value of distortion value in energy, and using k as key;
Step 6: the key k obtained using step 5, carries out setting for k Arnold scramble transformation formation for carrier image The final carrier image that random image is embedded in as secret information, the binary code for being converted secret information using image latent writing method Stream m be embedded in final carrier image, form the close image of final load, then recycle key k the final close image of load into N-k Arnold scramble transformation of row, forms final hidden image.
Using the above method, in information sender, best key k is searched using step 5, is obtained using step 6 Then key k and final hidden image are transmitted to recipient by hidden passageway by final hidden image;Receiving party The scramble that k Arnold scramble transformation forms steganography is carried out first with the key pair hidden image received by hidden passageway Then image extracts secret information from the hidden image of scramble using the extracting method of steganography, shown in Figure 2.

Claims (3)

1. a kind of digital picture steganography method is transmitted for secret information to be embedded in carrier image with generating Secret Image, It is characterized by comprising following steps:
Step 1: to experimental vehicle image c0It carries out an Arnold scramble transformation and forms the first scramble image c1, wherein scramble is public Formula is as follows:
Wherein x, y are the position coordinates where a certain pixel in experimental vehicle image, and x ', y ' are the pixel after scramble transformation Position coordinates where point,For image array, wherein a, b are preset natural number, and N is the rank of image array Number;
Step 2: to the first scramble image c1An Arnold scramble transformation is carried out again forms the second scramble image c2, with such It pushes away, by the i-th scramble image ciI+1 scramble image c is formed by an Arnold scramble transformationi+1, i ∈ therein 1,2 ... N }, finally by experimental vehicle image c0Carrier image space C={ c is formd by a series of Arnold scramble transformation0,c1, c2,…,cn, wherein n is the shuffling cycle of experimental vehicle image, and the size of shuffling cycle and image has relationship;
Step 3: secret information to be embedded is converted to binary code stream m, a kind of common image latent writing method is selected, it will The binary code stream m of secret information is respectively embedded in carrier image space C={ c0,c1,c2,…,cnIn n+1 image work as In, it forms n+1 and carries close scramble image Asj(j∈{0,1,2,…n});
Step 4: carrying close scramble image As for n+1j(j ∈ 0,1,2 ... n }) by being obtained respectively with Arnold scramble transformation To hidden image sj: close scramble image As is carried for one ofj, carrying out n-j Arnold scramble transformation can be obtained steganography figure As sj, wherein j ∈ { 0,1,2 ... n };
Step 5: an index of the image latent writing method performance of specified evaluation, passes through following formula: k=argmin D (c0, sj) j ∈ { 0,1,2 ... n }, it selects with the scramble image of secret information best match to be embedded as final carrier image, argmin D(c0,sj) indicate hidden image sjCompared to experimental vehicle image c0In specified image latent writing method performance The minimum value of distortion value, and using k as key;
Step 6: the key k obtained using step 5, carries out the scramble figure that k Arnold scramble transformation is formed for carrier image As the final carrier image as secret information insertion, the binary code stream m for being converted secret information using image latent writing method It is embedded in final carrier image, forms the close image of final load, then recycle key k that the final close image of load is carried out n- K Arnold scramble transformation, forms final hidden image.
2. digital picture steganography method according to claim 1, it is characterised in that: in the step 2, work as experimental vehicle When image size is 512 × 512, shuffling cycle n is 383.
3. digital picture steganography method according to claim 1, it is characterised in that: in the step 1, a=b=1.
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CN104050624A (en) * 2014-06-20 2014-09-17 宁波大学 Digital image steganographic method
CN107578362A (en) * 2017-05-24 2018-01-12 上海大学 It is embedded in the method for secret information in the picture based on textures synthesis

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Publication number Priority date Publication date Assignee Title
CN104050624A (en) * 2014-06-20 2014-09-17 宁波大学 Digital image steganographic method
CN107578362A (en) * 2017-05-24 2018-01-12 上海大学 It is embedded in the method for secret information in the picture based on textures synthesis

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