Description
Return (target - first)/(second - first) and an inclusive onEdge flag for parameters in [0, 1].
A bilinear cell combines constant, two linear, and one mixed coordinate term. Corner contrasts, stationary points, and edge intersections use normalized coordinates unless spans are supplied.
Return (target - first)/(second - first) and an inclusive onEdge flag for parameters in [0, 1].
When to use this tool
Use Bilinear Level Set Edge Intersection when you need one explicit bilinear coefficient, sensitivity, or level-set term.
How to use the tool and how it works
- Enter first, second, target. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read parameter, onEdge. Inspect onEdge before interpreting the associated values.
Require distinct first and second edge values. Return (target - first)/(second - first) and an inclusive onEdge flag for parameters in [0, 1].1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| first | First value or boundary under the stated formula. | Required. Finite number. |
| second | Second value or boundary under the stated formula. | Required. Finite number. |
| target | Target | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| parameter | Normalized interpolation coordinate under the stated domain; may permit extrapolation. | Required. Finite number. |
| onEdge | On Edge | Required. Boolean. |
{
"input": {
"first": 2,
"second": 6,
"target": 3
},
"output": {
"parameter": 0.25,
"onEdge": true
}
}Limitations and assumptions
- Outside parameters are returned; a flat edge is rejected even when every edge point matches the target.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete cell model and a documented contour or interpolation policy when reconstructing a surface.
References
Similar or alternative tools
- Bilinear Saddle Stationary Coordinate
Mark insideUnitCell inclusively.
- Inverse Linear Extrapolation Domain Flag
Compute x0 + (targetY - y0) × (x1 - x0)/(y1 - y0) and flag target values outside the endpoint y range.