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Footprint Arch Area Reference Ratio Tool

Research footprint ratio with explicitly excluded toe area and supplied reference.

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Description

Research footprint ratio with explicitly excluded toe area and supplied reference.

Foot and footwear research uses geometric dimensions, contact cells, forces, and measurement records. A length margin, normalized difference, or contact share has a specific measurement basis and can omit important three-dimensional or sensor effects. Arithmetic on supplied observations is separate from a validated clinical assessment.

Research footprint ratio with explicitly excluded toe area and supplied reference.

When to use this tool

Use Footprint Arch Area Reference Ratio when you have supplied foot, footwear, bench, or recording data and need this measurement or record-support calculation.

How to use the tool and how it works

  1. Enter midfootArea, totalContactArea, excludedToeArea, referenceRatio. 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 eligibleArea, ratio, referenceGap. Use the output convention below.

Require nonnegative excludedToeArea and midfootArea with positive totalContactArea-excludedToeArea and midfootArea within that remainder. Return eligibleArea, ratio=midfootArea/eligibleArea, and referenceGap=ratio-referenceRatio.1

Input fieldMeaning and unitsAccepted input
midfootAreaMidfoot AreaRequired. Finite number; minimum 0.
totalContactAreaTotal Contact AreaRequired. Finite number.
excludedToeAreaExcluded Toe AreaRequired. Finite number; minimum 0.
referenceRatioReference RatioRequired. Finite number.
Output fieldInterpretationReturned shape
eligibleAreaEligible AreaRequired. Finite number.
ratioRatio in the direction and unit convention stated in the formula.Required. Finite number.
referenceGapReference GapRequired. Finite number.
json
{
  "input": {
    "midfootArea": 20,
    "totalContactArea": 100,
    "excludedToeArea": 20,
    "referenceRatio": 0.3
  },
  "output": {
    "eligibleArea": 80,
    "ratio": 0.25,
    "referenceGap": -0.04999999999999999
  }
}

Limitations and assumptions

  • Areas need one unit. ReferenceRatio is an unrestricted supplied numeric comparator; the arithmetic does not establish an anatomical classification or a validated footprint measurement method.
  • 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. Signed zero is exported as zero.

Alternative or Complementary methods

Use a documented measurement protocol with calibrated equipment and appropriate geometric or contact models. Broader interpretation requires assessment of the underlying observations beyond one length, ratio, or support flag.

References

  1. Calculation and input contract: podiatry/footprint-arch-area-reference-ratio — tool.io

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