Description
Return planar marker-triangle area and reference residual.
Motion records combine sampled coordinates, periodic angles, event timing and signed work or impulse conventions. Local numerical differences and panels can be computed independently while actual event detection, full trajectories and physiological significance require complete measurements and analysis.
Return planar marker-triangle area and reference residual.
When to use this tool
Use Marker Triangle Area Residual when checking the stated movement timing, angle, geometry, energy or panel convention.
How to use the tool and how it works
- Enter ax, ay, bx, by, cx, cy, referenceArea. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read area, residual. Use the output convention below.
Return planar marker-triangle area and reference residual. Require referenceArea >= 0; area is half the absolute 2D edge cross product, residual = area-referenceArea.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| ax | Ax | Required. Finite number. |
| ay | Ay | Required. Finite number. |
| bx | Bx | Required. Finite number. |
| by | By | Required. Finite number. |
| cx | Cx | Required. Finite number. |
| cy | Cy | Required. Finite number. |
| referenceArea | Reference Area | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| area | Area | Required. Finite number. |
| residual | Signed difference in the direction stated above, with matching units. | Required. Finite number. |
{
"input": {
"ax": 0,
"ay": 0,
"bx": 4,
"by": 0,
"cx": 0,
"cy": 3,
"referenceArea": 5
},
"output": {
"area": 6,
"residual": 1
}
}Limitations and assumptions
- Coordinates must share length units and frame; no marker identity, 3D area or calibration adequacy is inferred.
- 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
Inspect calibrated motion/force data and use an appropriate complete trajectory or dynamics analysis; interpret health and safe-loading implications with qualified professionals.
References
Similar or alternative tools
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