Foveated Rendering Falloff Calculator
Explicit linear clamped foveation falloff coordinate between independent angular radii, not model human acuity or anti-aliasing kernel selection.
Description
A foveation falloff coordinate locates eccentricity between two angular boundaries.
A foveation falloff coordinate locates eccentricity between two angular boundaries.1
Linear clamping creates a simple transition coordinate that can feed a separately defined rendering policy. The calculation and input requirements are explained below.
When to use Foveated Rendering Falloff Calculator
Enter nonnegative eccentricity and inner radius in degrees, plus a positive outer radius strictly greater than the inner radius.
How to use Foveated Rendering Falloff Calculator and how it works
- Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
- Enter the required fields and run Foveated Rendering Falloff Calculator.
- Read the result fields using the formula, output units, signs and ordering explained below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualEccentricityDegrees | Actual Eccentricity Degrees. Use the units and matching context stated in the calculation below. | number | Required; nonnegative; finite; other constraints below |
| callerIndependentInnerRadiusDegrees | Caller Independent Inner Radius Degrees. Use the units and matching context stated in the calculation below. | number | Required; nonnegative; finite; other constraints below |
| callerIndependentOuterRadiusDegrees | Caller Independent Outer Radius Degrees. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
Enter nonnegative eccentricity and inner radius in degrees, plus a positive outer radius strictly greater than the inner radius. Normalize eccentricity between the radii and clamp to 0–1. At or below the inner radius return zero; at or above the outer radius return one.
falloff=clamp((eccentricity-inner)/(outer-inner),0,1) Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Numeric result under the formula and output units explained above. | number |
{
"input": {
"actualEccentricityDegrees": 2,
"callerIndependentInnerRadiusDegrees": 1,
"callerIndependentOuterRadiusDegrees": 3
},
"output": {
"result": {
"value": 0.5
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Foveated Rendering Outer Radius Calculator for a complementary operation: The outer foveation radius marks an angular boundary in a rendering policy.
Use Foveated Rendering Inner Radius Calculator for a complementary operation: The inner foveation radius defines a region of a rendering policy around gaze.
References
-
Foveated Rendering Falloff Calculator — tool.io
Similar or alternative tools
- Foveated Rendering Outer Radius Calculator
The outer foveation radius marks an angular boundary in a rendering policy.
- Foveated Rendering Inner Radius Calculator
The inner foveation radius defines a region of a rendering policy around gaze.