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Marker Segment Relative Coordinate

Translate one 3D marker into coordinates relative to a supplied segment origin; no segment rotation is inferred.

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Description

Subtract a supplied three-dimensional origin from a marker coordinate.

Movement geometry depends on coordinate registration, time origins, force signs and reference axes. A moment arm must already represent perpendicular leverage, a stride percentage has an endpoint convention, and a toe-to-heel projection differs from full Euclidean separation. Scalar results do not establish a movement diagnosis or a safe activity.

Subtract a supplied three-dimensional origin from a marker coordinate.

When to use this tool

Use Marker Segment Relative Coordinate when you already have marker, origin and need to subtract a supplied three-dimensional origin from a marker coordinate.

How to use the tool and how it works

  1. Enter marker, origin. Follow any array-alignment requirements below. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read relative. Use the output convention below.

Require both arrays length three; return componentwise marker-origin.1

Input fieldMeaning and unitsAccepted input
markerMarkerRequired. Array of finite number; maximum items 256.
originOriginRequired. Array of finite number; maximum items 256.
Output fieldInterpretationReturned shape
relativeExactly three marker-origin components; translation only, without rotation.Required. Array of finite number; maximum items 256.
json
{
  "input": {
    "marker": [
      10,
      20,
      30
    ],
    "origin": [
      2,
      5,
      10
    ]
  },
  "output": {
    "relative": [
      8,
      15,
      20
    ]
  }
}

Limitations and assumptions

  • No axis rotation, coordinate-frame calibration, units, tracking, anatomical frame or physical motion 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

Use calibrated motion, force and timing records with a complete biomechanical model. Check coordinate frames, axis normalization and sampling limitations before interpreting local distances, moments or phase values as performance or clinical findings.

References

  1. Calculation and input contract: biomechanics/marker-segment-relative-coordinate — tool.io

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