Material Function for Diffuse control curve

For a while I have tested some ideas for adjusting the Diffuse color curve in the material.
I have found the results I want, and I will give you an overview of the process and the results.
It was designed so that the following conditions were always satisfied.
- Do not use sqrt, if, or trigonometric functions.
- Pure Black should be kept at 0,0,0.
- Linear from black to white.
- It should be possible to control with only one parameter in Material Instance.
- Must be adjustable to a normalized (-1 to 1) value.

Step 1. Find Equation

There are websites that draw graphs of equations. Using them will be very helpful for development.

We will get the value (y-axis) to multiply according to the brightness (x-axis) of the color.
The red line is the ideal circular curve.
The blue line is a simplified version of the red line without Sqrt(). We choose this.

Step 2. Material Function

Create a new material Function. The final content is simple.

Step 3. Validate Curve

Create a material to make sure that the above functionality is implemented correctly.

 It is not a precise value, but it can tell you about the range change.

Step 4. Actual usage


More

Discuss with Art Asset creators to find the appropriate graph and parameter values.


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