CN109002724A - A kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function - Google Patents

A kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function Download PDF

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CN109002724A
CN109002724A CN201810579637.9A CN201810579637A CN109002724A CN 109002724 A CN109002724 A CN 109002724A CN 201810579637 A CN201810579637 A CN 201810579637A CN 109002724 A CN109002724 A CN 109002724A
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decryptdecryption
point
dem
dem data
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CN109002724B (en
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周卫
唐家明
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Nanjing Normal University
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F21/00—Security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
    • G06F21/60—Protecting data
    • G06F21/602—Providing cryptographic facilities or services
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/06—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols the encryption apparatus using shift registers or memories for block-wise or stream coding, e.g. DES systems or RC4; Hash functions; Pseudorandom sequence generators
    • H04L9/0618—Block ciphers, i.e. encrypting groups of characters of a plain text message using fixed encryption transformation
    • H04L9/0625—Block ciphers, i.e. encrypting groups of characters of a plain text message using fixed encryption transformation with splitting of the data block into left and right halves, e.g. Feistel based algorithms, DES, FEAL, IDEA or KASUMI
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
    • H04L9/0816—Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
    • H04L9/0819—Key transport or distribution, i.e. key establishment techniques where one party creates or otherwise obtains a secret value, and securely transfers it to the other(s)
    • H04L9/0822—Key transport or distribution, i.e. key establishment techniques where one party creates or otherwise obtains a secret value, and securely transfers it to the other(s) using key encryption key

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Abstract

The invention discloses a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function, mainly comprise the steps that (1) carries out DecryptDecryption processing to the regional area of dem data, including control point selection and its converted quantity setting, Compactly supported radial basis function DecryptDecryption model foundation, dem data part DecryptDecryption are handled；(2) recovery processing carried out to local DecryptDecryption dem data, including key decryption readings, local recovery's model foundation, local DecryptDecryption dem data recovery are handled.The method of the present invention has the characteristics such as compact schemes, control point precise transformation, safety height, can share for the safety of dem data and provide technical support.

Description

A kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function
Technical field
The present invention relates to geography information security technology area, especially a kind of DEM office based on Compactly supported radial basis function Portion's DecryptDecryption and restoration methods.
Background technique
The one kind of DEM as geographical spatial data is mainly used for describing shape of mountain size and relief feature, be answered extensively For in the fields such as terrain analysis and engineering construction.Meanwhile dem data is sent out as national essential information strategic resource in society Play a significant role in exhibition, economic construction and national defense construction, needs to change confidential dem data by technological means such as DecryptDecryptions It just can be carried out sharing application to meet the dem data of open required precision.
The existing global DecryptDecryption of dem data DecryptDecryption, and have local DecryptDecryption.Local DecryptDecryption is only to the DEM number of local sensitizing range According to vertical direction offset is carried out, keeps deformation uniformly progressive, keep partial vertical topological relation.In addition, certain around regional area Also respective offsets, offset reduce dem data in radius with the increase of distance, and distance is greater than the DEM number outside radius According to not dealing with.Currently, geodata geometric accuracy DecryptDecryption is primarily directed to global, and for the research of local DecryptDecryption compared with It is few.On the other hand, some dem data method for security protection, if dem data processing is without practical meaning by dem data camouflage The altitude data of justice, is unable to satisfy the sharing application of dem data.
Summary of the invention
It is provided the technical problem to be solved by the present invention is to overcome the deficiencies in the prior art a kind of radial based on compact schemes The part the DEM DecryptDecryption and restoration methods of basic function, this method have local compact schemes, control point precise transformation, deformation uniform gradually Into, it is highly-safe the features such as.
The present invention uses following technical scheme to solve above-mentioned technical problem:
A kind of part the DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function proposed according to the present invention, including Following steps:
Step 1 carries out DecryptDecryption processing to dem data, obtains DecryptDecryption treated dem data；
The DecryptDecryption processing includes that the selection of DecryptDecryption control point is arranged with DecryptDecryption converted quantity, establishes local DecryptDecryption model simultaneously basis The part DecryptDecryption model carries out local DecryptDecryption processing to dem data, obtains DecryptDecryption treated dem data；
DecryptDecryption control point is chosen and DecryptDecryption converted quantity is arranged, establishing local DecryptDecryption model, detailed process is as follows:
(1.1), DecryptDecryption control point is chosen is arranged with DecryptDecryption converted quantity: choosing sensitive landform characteristic point and controls as DecryptDecryption Point, sensitive landform characteristic point includes mountain valley point and ridge point, and gives DecryptDecryption converted quantity Δ zi, obtain DecryptDecryption control point coordinates (xi,yi), i=1,2 ..., n,；Wherein, xiFor the abscissa at i-th of DecryptDecryption control point, yiFor the vertical of i-th DecryptDecryption control point Coordinate, n are DecryptDecryption control point number；
(1.2), the local DecryptDecryption model based on Compactly supported radial basis function is established；
(1.2.1), selection positive definite Compactly supported radial basis functionAs compact schemes basic function, formula such as formula (1) institute Show:
Wherein, r is the parameter of compact schemes basic function,r0For the compact schemes radius of compact schemes basic function, X is Input elevational point, XiFor i-th of DecryptDecryption control point；(1-r)+For compact schemes domain control function, is defined as:
(1.2.2), setting compact schemes radius: 100 times of compact schemes radius at least more than DecryptDecryption converted quantity；
(1.2.3), compact schemes radial direction base is established according to the basic function of step (1.2.1) selection and the compact schemes radius of setting Function interpolation model F (X), as shown in formula (3):
Wherein,For compact schemes basic function, ‖ * ‖ is 2 norm of Euclid, wiFor i-th of linear combination coefficient；
(1.2.4), DecryptDecryption control point and DecryptDecryption converted quantity are updated in formula (3), obtain interpolation model and solves equation Expression formula, as shown in formula (4):
It enables Wherein, A is Gaussian matrix, and w is weight matrix, and y is sample output matrix；Then equation is write as the form of vector:
Aw=y (5)；
(1.2.5) then, solves formula (5), obtains weight matrix w by matrix calculation:
W=A-1y(6)；
(1.2.6) is generated shown in local DecryptDecryption model such as formula (7) according to weight matrix:
Wherein, tZcFor the elevation after c-th of elevational point DecryptDecryption, sZcFor the elevation before c-th of elevational point DecryptDecryption；
By compact schemes radius r0, weight matrix w and DecryptDecryption control point be combined into key key, added using DES algorithm It is close and store；
Step 2, to step 1 DecryptDecryption, treated that dem data restores, and restores to include that key decryption reads, restores mould Type is established to be handled with the recovery of local DecryptDecryption data.
It is further as a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function of the present invention Prioritization scheme, carrying out local DecryptDecryption processing to dem data, specific step is as follows:
(1.3.1), dem data is converted to elevational point coordinate set { (xc,yc,sZc) | c=1,2 ..., m }, wherein xcFor the abscissa of c-th of elevational point, ycFor the ordinate of c-th of elevational point, m is the number of elevational point；
(1.3.2), DecryptDecryption processing is carried out to elevational point coordinate set according to formula (7), the elevation point set after obtaining DecryptDecryption {(xc,yc,tZc) | c=1,2 ..., m }；
(1.3.3), the elevation point set after DecryptDecryption is stored and is exported according to the data structure of input dem data.
It is further as a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function of the present invention Prioritization scheme, to DecryptDecryption, treated that dem data restores in step 2, the specific steps are as follows:
(2.1), key file is read, the decryption of DES algorithm and extracting parameter: compact schemes radius r are used0, weight matrix w= [w1 w2…wn]TAnd DecryptDecryption control point P=[X1 X2…Xn]T, wherein subscript T is transposition；
(2.2), the parameter extracted according to step (2.1) constructs local recovery's model, as shown in formula (8):
(2.3), using formula (8), to DecryptDecryption, treated that dem data carries out recovery processing.
It is further as a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function of the present invention Prioritization scheme, the step (2.3) the specific steps of which are as follows:
(2.3.1), by DecryptDecryption, treated that dem data switchs to elevational point coordinate set { (xc,yc,tZc) | c=1, 2,...,m}；
(2.3.2), recovery processing is carried out to the elevational point coordinate set in (2.3.1) according to formula (8), after being restored Elevation point set { (xc,yc,sZc) | c=1,2 ..., m }；
(2.3.3), by the elevation point set after recovery according to input DecryptDecryption dem data data structure carry out storage and it is defeated Out.
It is further as a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function of the present invention Prioritization scheme, r0It is 1%.
The invention adopts the above technical scheme compared with prior art, has following technical effect that
(1) present invention carries out DecryptDecryption for dem data local sensitivity region and generates key, and the dem data after DecryptDecryption Distortionless can be carried out according to key；
(2) present invention has the characteristics that local compact schemes, deformation are uniformly progressive, highly-safe, improves dem data DecryptDecryption Reliability, be conducive to the perfect of geography information safeguard protection theory and method system, can be used for dem data disclosure it is shared with Transmission etc..
Detailed description of the invention
Fig. 1 is dem data part DecryptDecryption flow chart of the present invention；
Fig. 2 is the recovery flow chart of dem data after local DecryptDecryption of the present invention；
Fig. 3 is the DEM experimental data that local DecryptDecryption is selected in the embodiment of the present invention；
Fig. 4 is error map in local DecryptDecryption region in the embodiment of the present invention；
Fig. 5 is local DecryptDecryption effect picture in the embodiment of the present invention.
Specific embodiment
To make the objectives, technical solutions, and advantages of the present invention clearer, below in conjunction with the accompanying drawings and the specific embodiments The present invention will be described in detail.
A kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function provided by the invention, dem data Local DecryptDecryption process as shown in Figure 1, the recovery process of dem data is as shown in Figure 2.
The present embodiment selects the dem data (such as Fig. 3) in somewhere as the dem data to DecryptDecryption, and coordinate system is WGS84, size 2335m*2250m, unit lattice resolution are 5m*5m.The following steps are included:
(1) the local DecryptDecryption process of dem data
Step 1.1: opening to DecryptDecryption dem data, obtain the minimum circumscribed rectangle R of data, wherein R top left co-ordinate is (399298.014,3553907.950), bottom right angular coordinate are (401633.015,3551657.950)；
Step 1.2: choosing 6 characteristic points out of dem data and assigned at random as model cootrol point, and to control point Disturbance quantity obtains control point set:
Disturb duration set:
Δ Zs={ 4.613,3.547,3.893,4.452,4.894,3.197 }；
Step 1.3: the positive definite Compactly supported radial basis function for selecting Wendland to propose is as basic function of the invention, such as formula (1) shown in；
Step 1.4: according to disturbance duration set, selecting compact schemes radius r0=720；
Step 1.5: control point and converted quantity being substituted into formula (3), is solved, is weighed using Matrix Computation Formulas Value matrix:
W=[3.70457773,2.72831675,0.97920387,3.92340938,3.91885782, 2.24911317]；
Step 1.6: according to the weight calculated, dem data part DecryptDecryption model is established, as shown in formula (7)；
Step 1.7: obtaining elevation point set the GCs={ (x of dem datac,yc,sZc) | c=1,2 ..., m }, wherein m= 210150；
Step 1.8: DecryptDecryption processing being carried out to elevation point set GCs according to formula (7), obtains elevation point set after DecryptDecryption GCs '={ (xc,yc,tZc) | c=1,2 ..., m }, error distribution is as shown in Figure 4 in DecryptDecryption.
Step 1.9: elevation point set after DecryptDecryption being exported according to the data structure of input dem data, with input DEM number According to Overlay it is as shown in Figure 5.Compact schemes radius r0, weight matrix w and control point be combined into key key, and use DES Algorithm is encrypted and is stored in Key.txt.
(2) after DecryptDecryption dem data recovery process
Step 2.1: reading key file Key.txt, use extraction key Key after the decryption of DES algorithm；
Step 2.2: according to the support radius r in key0, weight matrix w and control point establish Restoration model, such as formula (8) shown in；
Step 2.3: opening dem data after DecryptDecryption, obtain elevation point set the EGCs { (x of dem datac,yc,tZc) | c= 1,2 ..., m }, wherein m=210150；
Step 2.4: recovery processing being carried out to elevation point set EGCs using Restoration model, elevation point set after being restored RGCs={ (xc,yc,sZc) | c=1, R ..., m }；
Step 2.5: the elevation point set RGCs after recovery is stored according to the data structure of input DEM DecryptDecryption data And it exports.
The safety of method energy effective guarantee dem data of the invention, while maintaining the vertical topology relationship of dem data basic It remains unchanged, shares and technical support is provided for geography information safety and geodata.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any In the technical scope disclosed by the present invention, any changes or substitutions that can be easily thought of by those familiar with the art, all answers It is included within the scope of protection of the present invention.

Claims (5)

1. a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function, which is characterized in that including following step It is rapid:
Step 1 carries out DecryptDecryption processing to dem data, obtains DecryptDecryption treated dem data；
The DecryptDecryption processing includes that the selection of DecryptDecryption control point is arranged with DecryptDecryption converted quantity, establishes local DecryptDecryption model and according to the office Portion's DecryptDecryption model carries out local DecryptDecryption processing to dem data, obtains DecryptDecryption treated dem data；
DecryptDecryption control point is chosen and DecryptDecryption converted quantity is arranged, establishing local DecryptDecryption model, detailed process is as follows:
(1.1), DecryptDecryption control point is chosen is arranged with DecryptDecryption converted quantity: the sensitive landform characteristic point of selection is quick as DecryptDecryption control point Feeling features of terrain point includes mountain valley point and ridge point, and gives DecryptDecryption converted quantity Δ zi, obtain DecryptDecryption control point coordinates (xi,yi), I=1,2 ..., n,；Wherein, xiFor the abscissa at i-th of DecryptDecryption control point, yiFor the ordinate at i-th of DecryptDecryption control point, n is DecryptDecryption control point number；
(1.2), the local DecryptDecryption model based on Compactly supported radial basis function is established；
(1.2.1), selection positive definite Compactly supported radial basis functionAs compact schemes basic function, shown in formula such as formula (1):
Wherein, r is the parameter of compact schemes basic function,r0For the compact schemes radius of compact schemes basic function, X is input Elevational point, XiFor i-th of DecryptDecryption control point；(1-r)+For compact schemes domain control function, is defined as:
(1.2.2), setting compact schemes radius: 100 times of compact schemes radius at least more than DecryptDecryption converted quantity；
(1.2.3), Compactly supported radial basis function is established according to the basic function of step (1.2.1) selection and the compact schemes radius of setting Interpolation model F (X), as shown in formula (3):
Wherein,For compact schemes basic function, ‖ * ‖ is 2 norm of Euclid, wiFor i-th of linear combination coefficient；
(1.2.4), DecryptDecryption control point and DecryptDecryption converted quantity are updated in formula (3), obtain interpolation model and solves equation expression Formula, as shown in formula (4):
It enables Wherein, A is Gaussian matrix, and w is weight matrix, and y is sample output matrix；Then equation is write as the form of vector:
Aw=y (5)；
(1.2.5) then, solves formula (5), obtains weight matrix w by matrix calculation:
W=A-1y (6)；
(1.2.6) is generated shown in local DecryptDecryption model such as formula (7) according to weight matrix:
Wherein, tZcFor the elevation after c-th of elevational point DecryptDecryption, sZcFor the elevation before c-th of elevational point DecryptDecryption；
By compact schemes radius r0, weight matrix w and DecryptDecryption control point be combined into key key, encrypted simultaneously using DES algorithm Storage；
Step 2, to step 1 DecryptDecryption, treated that dem data restores, and restores to include that key decryption is read, Restoration model is built The vertical recovery with local DecryptDecryption data is handled.
2. a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function according to claim 1, special Sign is that carrying out local DecryptDecryption processing to dem data, specific step is as follows:
(1.3.1), dem data is converted to elevational point coordinate set { (xc,yc,sZc) | c=1,2 ..., m }, wherein xcIt is The abscissa of c elevational point, ycFor the ordinate of c-th of elevational point, m is the number of elevational point；
(1.3.2), DecryptDecryption processing is carried out to elevational point coordinate set according to formula (7), elevation the point set { (x after obtaining DecryptDecryptionc, yc,tZc) | c=1,2 ..., m }；
(1.3.3), the elevation point set after DecryptDecryption is stored and is exported according to the data structure of input dem data.
3. a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function according to claim 1, special Sign is, to DecryptDecryption, treated that dem data restores in step 2, the specific steps are as follows:
(2.1), key file is read, the decryption of DES algorithm and extracting parameter: compact schemes radius r are used0, weight matrix w=[w1 w2 … wn]TAnd DecryptDecryption control point P=[X1 X2 … Xn]T, wherein subscript T is transposition；
(2.2), the parameter extracted according to step (2.1) constructs local recovery's model, as shown in formula (8):
(2.3), using formula (8), to DecryptDecryption, treated that dem data carries out recovery processing.
4. a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function according to claim 3, special Sign is, the step (2.3) the specific steps of which are as follows:
(2.3.1), by DecryptDecryption, treated that dem data switchs to elevational point coordinate set { (xc,yc,tZc) | c=1,2 ..., m }；
(2.3.2), recovery processing is carried out to the elevational point coordinate set in (2.3.1) according to formula (8), the height after being restored Journey point set { (xc,yc,sZc) | c=1,2 ..., m }；
(2.3.3), the elevation point set after recovery is stored and is exported according to the data structure of input DecryptDecryption dem data.
5. a kind of part DEM DecryptDecryption and restoration methods based on Compactly supported radial basis function according to claim 1, special Sign is, r0It is 1%.
CN201810579637.9A 2018-06-07 2018-06-07 DEM local decryption and recovery method based on tight support radial basis function Active CN109002724B (en)

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