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GEOMETRIC TAMPERING ESTIMATION  BY MEANS OF A SIFT-BASED FORENSIC ANALYSIS Irene Amerini, Lamberto Ballan,  Roberto Caldelli , Alberto Del Bimbo and Giuseppe Serra MICC - Media Integration and Communication Center  University of Florence, Florence, Italy
Summary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The copy-move attack ,[object Object],[object Object],[object Object]
The copy-move attack
The copy-move attack
Copy-move & SIFT  ,[object Object],[object Object],TARGET :  Forensic analysis should provide instruments  to detect such a cloning and to estimate which transformation has been performed.
SIFT ,[object Object],[object Object],[object Object],original image L(x,y,σ) D(x,y,σ) Gaussians DoG Gaussian filtering G(x,y,σ) grey-scale I(x,y)
SIFT ,[object Object],[object Object],[object Object],[2] Lowe. “Distinctive image features from scale-invariant keypoints”  Int.’l Journal of Computer Vision, 2004
The proposed approach Due to their invariance SIFT features are well-suited to detect forgeries through a matching operation. Suspected image I Features extraction and matching Geometric transformation estimation Hierarchical clustering H
Matching among keypoints ,[object Object],[object Object],[object Object],[object Object]
Hierarchical clustering (1/2) ,[object Object],[object Object],[object Object],[object Object],Criterion:  the shortest distance  among members  belonging to the two  different clusters! C 1 C 2 C N-1 C N …… .. C 1,2 C 1,2,8 C 1,2,8, … C N-1,N
Hierarchical clustering (2/2) ,[object Object],[object Object]
Geometric transformation estimation ,[object Object],[object Object],[object Object]
Geometric transformation estimation ,[object Object],Translation parameters are determined  by using clusters’ centroids Rotation and scale parameters H
Experimental results:  forgery detection
Experimental results:  forgery detection
Experimental results:  forgery detection
Experimental results:  forgery detection
Experimental results:  forgery detection
Experimental results:  transformation estimation Translation tx tx^ ty ty^ 304 304.02 80.5 81.01 θ θ^ 0 0.040 Rotation  (no rotation) sx sx^ sy sy^ 1 1.004 1 0.998 Scaling (no scaling)
Experimental results:  transformation estimation tx tx^ ty ty^ 304 305.02 80.5 80.82 Translation θ θ^ 20 20.067 Rotation sx sx^ sy sy^ 1.4 1.404 1.2 1.198 Scaling
Experimental results:  transformation estimation
Experimental results:  multiple cloning
Conclusions ,[object Object],[object Object],[object Object],[object Object]

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GEOMETRIC TAMPERING ESTIMATION BY MEANS OF A SIFT-BASED FORENSIC ANALYSIS