Description
measuredTaper = (secondDiameter-firstDiameter)/length; taperGap subtracts targetTaper; targetEndDiameter = firstDiameter+targetTaper*length.
Dental specimen and bench-model measurements need an explicit image scale, coordinate origin and geometric convention. A linear taper, chord ratio or calibrated length describes a supplied model and does not establish anatomy or guide clinical treatment.
measuredTaper = (secondDiameter-firstDiameter)/length; taperGap subtracts targetTaper; targetEndDiameter = firstDiameter+targetTaper*length.
When to use this tool
Use Canal Model Conicity Length Gap when checking a supplied research or bench-model dimension.
How to use the tool and how it works
- Enter firstDiameter, secondDiameter, length, targetTaper. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read measuredTaper, taperGap, targetEndDiameter. Use the output convention below.
Require positive length and nonnegative firstDiameter and secondDiameter. measuredTaper = (secondDiameter-firstDiameter)/length; taperGap subtracts targetTaper; targetEndDiameter = firstDiameter+targetTaper*length.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstDiameter | First Diameter | Required. Finite number; minimum 0. |
| secondDiameter | Second Diameter | Required. Finite number; minimum 0. |
| length | Length | Required. Finite number; strictly above 0. |
| targetTaper | Target Taper | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| measuredTaper | Measured Taper | Required. Finite number. |
| taperGap | Taper Gap | Required. Finite number. |
| targetEndDiameter | Target End Diameter | Required. Finite number. |
{
"input": {
"firstDiameter": 0.2,
"secondDiameter": 0.8,
"length": 10,
"targetTaper": 0.04
},
"output": {
"measuredTaper": 0.06000000000000001,
"taperGap": 0.02000000000000001,
"targetEndDiameter": 0.6000000000000001
}
}Limitations and assumptions
- Diameter and length units must match the target taper basis. Signed taper and target values are retained; the straight-line model is not a complete canal geometry or treatment assessment.
- 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 verified specimen and instrument methods, full geometry and professional clinical assessment when the question extends beyond bench arithmetic.
References
Similar or alternative tools
- Canal Model Section Offset Registration Term
globalPoint[i] = sectionOrigin[i]+localPoint[i]*axisSigns[i].
- Canal Image Reference Length
measuredLength = measuredPixels*suppliedRulerLength/rulerPixels; referencedLength adds suppliedOriginOffset in the same physical length unit.