Visual Cryptography

Visual Cryptography (OR) Reading Between the Lines Ecaterina Valică http://students.info.uaic.ro/~evalica/

Agenda ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Introduction ,[object Object],[object Object],[object Object]

Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Simple example

[object Object],[object Object],[object Object],k out of n sharing problem

Model ,[object Object],[object Object],[object Object],[object Object],[object Object]

Model ,[object Object],Pixel Subpixels s i,j m ,[object Object],m n Share 1 Share 2 Share n

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Model

Stacking Model: Stacking & Contrast m m : V H(V) H(V)  m B H(V)  m W m W < m B contrast = (m B -m W )/m

General k out of k Scheme ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

2 out of n Scheme ,[object Object],[object Object],[object Object]

2 out of 2 Scheme (2 subpixels) ,[object Object],[object Object],[object Object]

2 out of 2 Scheme (2 subpixels) ,[object Object]

2 out of 2 Scheme (2 subpixels)

2 out of 2 Scheme (2 subpixels) + ,[object Object]

2 out of 2 Scheme (4 subpixels) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],2 out of 2 Scheme (4 subpixels)

Horizontal shares Vertical shares Diagonal shares 2 out of 2 Scheme (4 subpixels)

2 out of 2 Scheme (4 subpixels)

share1 share2 stack pixel random 0 1 2 3 4 5 0 1 2 3 4 5 4 1 0 5

3 out of 3 Scheme (4 subpixels) ,[object Object],C 0 ={ 24 matrices obtained by permuting the columns of } C 1 ={ 24 matrices obtained by permuting the columns of } 0011 1100 0101 1010 0110 1001 horizontal shares vertical shares diagonal shares

3 out of 3 Scheme (4 subpixels) Original Share #1 Share #2 Share #3 Share #1+#2+#3 Share #1+#2 Share #2+#3 Share #1+ #3

2 out of 6 Scheme ,[object Object],C 0 ={ 24 matrices obtained by permuting the columns of } C 1 ={ 24 matrices obtained by permuting the columns of }

2 out of 6 Scheme Share#1 Share#2 Share#3 Share#4 Share#5 Share#6 2 shares 3 shares 4 shares 5 shares 6 shares

Extensions - Four Gray Levels ,[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],Extensions - Grey Scale Encryption Share #1 Share #2 Stacked Color White Gray Black

Extensions - Continuous Gray level ,[object Object],[object Object]

[object Object],[object Object],Extensions - Extended VC  

Extensions - Color VC ,[object Object],[object Object],[object Object],[object Object]

Extensions - Color VC ,[object Object],Four subpixels Four regions Combined One pixel on four- color image

Extensions - Color VC ,[object Object],Pattern1 Pattern1 Pattern2 Pattern2 Combined Result Combined Result

Applications ,[object Object],[object Object],[object Object],[object Object],[object Object]

References ,[object Object],[object Object],[object Object],[object Object]

References ,[object Object],[object Object]

Visual Cryptography

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Visual Cryptography