Principle Component Analysis(PCA)
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Transcript of Principle Component Analysis(PCA)
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Principle Component
Analysis(PCA)
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What is face recognition?
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DEFINITION
The ability to recognize people by their facialcharacteristics.
Computers can conduct facial database searchesand/or perform live, one-to-one or one-to-manyverifications with unprecedented accuracy andsplit-second processing.
Users can be granted secure access to theircomputer, mobile devices, or for online e-commerce, simply by looking into their Webcamera.
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Face recognition application
Security
- military applications
Personal information access
-ATM
-Home access Improved human machine interaction
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Drawback
More number of database image required
Complexity
Time delay
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Proposed system
PCA:
Principal component analysis (PCA) creates
new variables (components) that consist of
uncorrelated, linear combinations of the
original variables.
PCA is used to simplify the data structure.
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Existing method
DWT
The wavelet transform (WT) has gained widespreadacceptance in signal processing and imagecompression.
DCTA discrete cosine transform (DCT) expresses a
sequence of finitely many data points in terms of a sumof cosine functions oscillating at different frequencies
SVDThe singular value decomposition (SVD) is afactorization of areal or complex, matrix with manyuseful applications in signal processing and statics
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STEPS OF PCA
Convert the images 2D to 1D Finding mean
Finding deviation
Covariance Eigen value/ Eigen vector
Eigen face
Euclidian
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METHOD 1
2D to 1D
If i get 20 images means this process going
to 2D to 1D
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METHOD 2
Finding mean value:
mean means total number of average value
Example:Add the numbers: 6 + 11 + 7 = 24
Divide by how manynumbers
(there are 3 numbers): 24 / 3 = 8The Mean is 8
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METHOD 3
Finding deviation
each pixel value minus mean value is called
standard deviation
Matrix-Mean value
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METHOD 4
Covariance:
input is a matrix, multiplication of
inverse is called covariance.
A=1/A
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METHOD 5
Finding Eigen value and Eigen vector:
character equation;
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METHOD 6
Euclidian
Calculating thresh hold value
ifEU
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QUESTION?
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END
