A new equation of saturation in RGB-to-HSI conversion for more rapidity of computing

In this paper, a new equation of saturation In RGB-to-HSI conversion is proposed on the basis of HSI color space, aimed to provide more rapidity of computing in real-time control systems due to fewer operations needed. The theoretical validity of new conversion equation is studied and testified. Besides its significant advantages over traditional equation on temporal performance, better mapping performances is mathematically explained as a minor advantage. It is shown in illustrative experiments that average 30% time was saved in computing when using new saturation conversion equation instead of traditional one.