How HSV to RGB Conversion Works
Step 1: Normalize Input Values
First, we need to normalize our HSV values to the ranges used in the algorithm:
- Hue (180°): 0.5 (divided by 360)
- Saturation (100%): 1.0 (divided by 100)
- Value (100%): 1.0 (divided by 100)
Step 2: Calculate Intermediate Values
Next, we calculate several intermediate values:
i = floor(H × 6) = floor(0.5 × 6) = 3
f = H × 6 - i = 0.5 × 6 - 3 = 0
p = V × (1 - S) = 1.0 × (1 - 1.0) = 0
q = V × (1 - f × S) = 1.0 × (1 - 0 × 1.0) = 1
t = V × (1 - (1 - f) × S) = 1.0 × (1 - (1 - 0) × 1.0) = 0
Step 3: Determine RGB Based on Hue Sector
The RGB values are determined based on which sector the hue falls in:
For hue in sector 3, we set (R,G,B) = (p,q,V)
This results in:
- R = 0
- G = 1
- B = 1
Step 4: Scale to 8-bit RGB Values
Finally, we scale our normalized RGB values (0-1) to the standard 8-bit range (0-255):
- R = round(0 × 255) = 0
- G = round(1 × 255) = 255
- B = round(1 × 255) = 255
Final RGB: (0, 255, 255)
Hexadecimal: #00FFFF