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Principal Component Analysis applied to digital image compression
1Instituto do Cérebro, Hospital Israelita Albert Einstein, São Paulo, SP, Brazil.
Objective:
To describe the use of a statistical tool (Principal Component Analysis - PCA) for the recognition of patterns and compression, applying these concepts to digital images used in Medicine.
Methods:
The description of Principal Component Analysis is made by means of the explanation of eigenvalues and eigenvectors of a matrix. This concept is presented on a digital image collected in the clinical routine of a hospital, based on the functional aspects of a matrix. The analysis of potential for recovery of the original image was made in terms of the rate of compression obtained.
Results:
The compressed medical images maintain the principal characteristics until approximately one-fourth of their original size, highlighting the use of Principal Component Analysis as a tool for image compression. Secondarily, the parameter obtained may reflect the complexity and potentially, the texture of the original image.
Conclusion:
The quantity of principal components used in the compression influences the recovery of the original image from the final (compacted) image.
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