If Red, Green, and Blue have values 0, 150 and 150 respectively then its corresponding values in HSI are

To convert RGB values to HSI (Hue, Saturation, Intensity), we can follow a systematic approach. Given the RGB values (Red = 0, Green = 150, Blue = 150), we can use the formulas for HSI conversion. 1. **Calculate Intensity (I)**: \[ I = \frac{R + G + B}{3} = \frac{0 + 150 + 150}{3} = \frac{300}{3} = 100 \] 2. **Calculate Saturation (S)**: The formula for saturation can vary slightly, but for simplicity, we can use: \[ S = 1 - \frac{3 \cdot \text{min}(R, G, B)}{R + G + B} \] Here, \(\text{min}(R, G, B) = \text{min}(0, 150, 150) = 0\). \[ S = 1 - \frac{3 \cdot 0}{0 + 150 + 150} = 1 - 0 = 1 \] 3. **Calculate Hue (H)**: The calculation for hue is a bit more complex: \[ H = \begin{cases} \frac{(G-B)}{(R-G) + (G-B) + (B-R)} & \text{if } R \geq G \\ 120 + \frac{(G-B)}{(R-G) + (G-B) + (B-R)} & \text{if } R < G \text{ and } B > 0 \\ 240 + \frac{(G-B)}{(R-G) + (G-B) + (B-R)} & \text{if } R < G \end{cases} \] Since \(R < G\) and \(B > 0\), we need to use the second case. We first need to calculate \( (G - B) \), \( (R - G) \), and \( (B - R) \): - \( G - B = 150 - 150 = 0 \) - \( R - G = 0 - 150 = -150 \) - \( B - R = 150 - 0 = 150 \) So, we have: \[ H = 120 + \frac{0}{(-150) + 0 + 150} = 120 + 0 = 120 \] Finally, we can express the HSI values for the given RGB colors: - \( H = 120^\circ \) - \( S = 1 \) (or 100%) - \( I = 100 \) Therefore, the HSI values corresponding to the RGB values (0, 150, 150) are: - HSI(120, 1, 100)