HSV to RGB Color Converter

What is HSV to RGB Conversion?

HSV to RGB conversion is the process of transforming color representations from the HSV (Hue, Saturation, Value) color model to the RGB (Red, Green, Blue) color model. This conversion is essential when you need to translate intuitive color descriptions into values that can be used in digital displays and image processing.

HSV Color Model

The HSV color model represents colors using three components:

• Hue (H): Represents the color itself, measured in degrees from 0° to 360°.
• Saturation (S): Represents the intensity of the color, from 0% (gray) to 100% (full color).
• Value (V): Represents the brightness, from 0% (black) to 100% (full brightness).

RGB Color Model

The RGB color model represents colors using three components:

• Red (R): Amount of red, from 0 to 255.
• Green (G): Amount of green, from 0 to 255.
• Blue (B): Amount of blue, from 0 to 255.

Conversion Formula

The conversion from HSV to RGB involves several steps:

1. Calculate intermediate values:

\[ C = V \times S \]

\[ X = C \times (1 - |(H / 60°) \bmod 2 - 1|) \]

\[ m = V - C \]

2. Determine RGB' based on Hue:

• If 0° ≤ H < 60°: (R',G',B') = (C,X,0)
• If 60° ≤ H < 120°: (R',G',B') = (X,C,0)
• If 120° ≤ H < 180°: (R',G',B') = (0,C,X)
• If 180° ≤ H < 240°: (R',G',B') = (0,X,C)
• If 240° ≤ H < 300°: (R',G',B') = (X,0,C)
• If 300° ≤ H < 360°: (R',G',B') = (C,0,X)

3. Calculate final RGB values:

\[ (R,G,B) = ((R'+m) \times 255, (G'+m) \times 255, (B'+m) \times 255) \]

Usage Example

Let's convert a vibrant blue color from HSV to RGB:

• HSV: (210°, 100%, 100%)
• RGB: (0, 127, 255)

Visual Representation