Hue Angle Calculator For Windows

Hue Angle Formula:

\[ \text{Hue} = \arctan2(b, a) \times \frac{180}{\pi} \]

Hue Angle:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Hue Angle?

The hue angle is a measurement in color science that represents the dominant color tone in the CIELAB color space. It's calculated from the a* and b* components and indicates the color's position on the color wheel, ranging from 0° to 360°.

2. How Does the Calculator Work?

The calculator uses the hue angle formula:

\[ \text{Hue} = \arctan2(b, a) \times \frac{180}{\pi} \]

Where:

\( a \) — Red-green component of CIELAB color space
\( b \) — Blue-yellow component of CIELAB color space
\( \arctan2 \) — Two-argument arctangent function

Explanation: The function calculates the angle in radians between the positive x-axis and the point (a, b), then converts it to degrees. The result is normalized to the 0-360° range.

3. Importance of Hue Angle Calculation

Details: Hue angle is crucial for window tint color analysis, color matching, quality control in manufacturing, and ensuring consistent color appearance across different materials and lighting conditions.

4. Using the Calculator

Tips: Enter the a and b component values from CIELAB color measurements. Both values can be positive or negative, representing different color directions in the color space.

5. Frequently Asked Questions (FAQ)

Q1: What do the a and b components represent?
A: The a component represents the red-green axis (positive = red, negative = green), while the b component represents the blue-yellow axis (positive = yellow, negative = blue).

Q2: What is the range of hue angle values?
A: Hue angle ranges from 0° to 360°, where 0° represents red, 90° represents yellow, 180° represents green, and 270° represents blue.

Q3: Why use atan2 instead of regular arctangent?
A: atan2 handles all four quadrants correctly and avoids division by zero issues, providing accurate angle calculations for any combination of a and b values.

Q4: How is hue angle used in window tint applications?
A: In window tint manufacturing, hue angle helps ensure color consistency, match specific color requirements, and maintain quality control across production batches.

Q5: Can both a and b values be zero?
A: If both a and b are zero, the color is neutral (gray), and the hue angle is undefined. The calculator requires at least one non-zero value.