Abstract

Principal Components Analysis (PCA) is one of the most frequently used dimensionality reduction methods. PCA is suitable in time-critical case (i.e., when distance calculations involving only a few dimensions can be afforded) [1] . When it comes to image compression, PCA has its significant advantages: good performance in removing of correlations, and high compression ratio. JohnsonLindenstrauss Lemma is a probability method leading to a deterministic statement of dimensionality reduction. This paper proposes a image compression algorithm: PCA for image compression based on improved JohnsonLindenstrauss Lemma. 

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