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Frame Optical Center Decentration

Reference an explicit optical-center coordinate to a supplied frame center and sign convention without selecting lens placement.

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Description

Reorient an optical-center offset to a temporal-positive convention.

Optical records distinguish sphere/cylinder powers, principal meridian axes, prism-base labels and eye-specific offset signs. A radial lens-blank margin is half its diametral margin under centered circular geometry. Local optical formulas and code labels do not perform refraction, verify fit or prescribe a lens.

Reorient an optical-center offset to a temporal-positive convention.

When to use this tool

Use Frame Optical Center Decentration when you already have frameCenterCoordinate, opticalCenterCoordinate, positiveMeansTemporal and need to reorient an optical-center offset to a temporal-positive convention.

How to use the tool and how it works

  1. Enter frameCenterCoordinate, opticalCenterCoordinate, positiveMeansTemporal. 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 temporalPositiveDecentration. Use the output convention below.

Return (opticalCenterCoordinate-frameCenterCoordinate)*(positiveMeansTemporal?1:-1).1

Input fieldMeaning and unitsAccepted input
frameCenterCoordinateFrame Center CoordinateRequired. Finite number.
opticalCenterCoordinateOptical Center CoordinateRequired. Finite number.
positiveMeansTemporalPositive Means TemporalRequired. Boolean.
Output fieldInterpretationReturned shape
temporalPositiveDecentrationTemporal Positive DecentrationRequired. Finite number.
json
{
  "input": {
    "frameCenterCoordinate": 30,
    "opticalCenterCoordinate": 32,
    "positiveMeansTemporal": true
  },
  "output": {
    "temporalPositiveDecentration": 2
  }
}

Limitations and assumptions

  • Coordinates and eye-side convention are supplied; no pupil position, optical effect, fit or prescription 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 the complete verified optical prescription and lens/frame geometry for a design or fit analysis. Preserve sphere-cylinder axis and eye-specific direction conventions; a meridian sum or centered circular clearance is only one part of that calculation.

References

  1. Calculation and input contract: optometry/frame-optical-center-decentration — tool.io

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