Description
Compare one centered, scaled landmark coordinate.
Microscopy coordinates require scale, origin, orientation and often optical correction. A normalized landmark coordinate or refractive-index ratio is one geometric term rather than a complete image registration or validated biological measurement.
Compare one centered, scaled landmark coordinate.
When to use this tool
Use Embryo Landmark Procrustes One Coordinate Gap when checking a supplied developmental-image coordinate transformation.
How to use the tool and how it works
- Enter observed, reference, observedCenter, referenceCenter, observedScale, referenceScale. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read normalizedGap, squaredGap. Use the output convention below.
Compare one centered, scaled landmark coordinate. Require positive observedScale/referenceScale; normalizedGap is the difference of independently centered/scaled coordinates, squaredGap its square.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| observed | Observed | Required. Finite number. |
| reference | Reference | Required. Finite number. |
| observedCenter | Observed Center | Required. Finite number. |
| referenceCenter | Reference Center | Required. Finite number. |
| observedScale | Observed Scale | Required. Finite number; strictly above 0. |
| referenceScale | Reference Scale | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| normalizedGap | Normalized Gap | Required. Finite number. |
| squaredGap | Squared Gap | Required. Finite number. |
{
"input": {
"observed": 5,
"reference": 3,
"observedCenter": 1,
"referenceCenter": 1,
"observedScale": 2,
"referenceScale": 2
},
"output": {
"normalizedGap": 1,
"squaredGap": 1
}
}Limitations and assumptions
- This is one coordinate contribution, not full Procrustes alignment, rotation or a shape statistic.
- 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 calibrated imaging and suitable full shape or optical models when geometry and measurement accuracy matter.
References
Similar or alternative tools
- Embryo Image Coordinate Scale
Convert one image coordinate to a physical coordinate.
- Embryo Image Zdepth Refractive Factor
Apply a supplied refractive-index depth scaling.