Root Section Reference Gap Tool

Description

positionGaps[i] = (sectionPosition-referencePosition)*sourceScale; maximumAbsoluteGap is their largest absolute magnitude, or zero for empty arrays.

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.

positionGaps[i] = (sectionPosition-referencePosition)*sourceScale; maximumAbsoluteGap is their largest absolute magnitude, or zero for empty arrays.

When to use this tool

Use Root Section Reference Gap when checking a supplied research or bench-model dimension.

How to use the tool and how it works

Enter sectionPositions, suppliedReferencePositions, sourceScale. Keep parallel arrays aligned. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read positionGaps, maximumAbsoluteGap. Use the output convention below.

Require equally long sectionPositions and suppliedReferencePositions and positive sourceScale. positionGaps[i] = (sectionPosition-referencePosition)*sourceScale; maximumAbsoluteGap is their largest absolute magnitude, or zero for empty arrays.^[1]

Input field	Meaning and units	Accepted input
sectionPositions	Section Positions	Required. Array of finite number; maximum items 256.
suppliedReferencePositions	Supplied Reference Positions	Required. Array of finite number; maximum items 256.
sourceScale	Source Scale	Required. Finite number; strictly above 0.

Output field	Interpretation	Returned shape
positionGaps	Position Gaps	Required. Array of finite number; maximum items 256.
maximumAbsoluteGap	Maximum Absolute Gap	Required. Finite number.

json

{
  "input": {
    "sectionPositions": [
      1,
      3
    ],
    "suppliedReferencePositions": [
      1,
      2
    ],
    "sourceScale": 2
  },
  "output": {
    "positionGaps": [
      0,
      2
    ],
    "maximumAbsoluteGap": 2
  }
}

Limitations and assumptions

Scale converts coordinate differences to the output length basis. Correspondence, image registration and reference accuracy are supplied, not verified.
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

Calculation and input contract: endodontics/root-section-reference-gap — tool.io

Similar or alternative tools

Root Model Section Thickness Offset
nominalDepth = originDepth+index*thickness; correctedDepth adds missingBefore*thickness; lostDepth = missingBefore*thickness.
Root Model Path Chord Ratio
pathLength is the sum; tortuosity = pathLength/chord; excess = pathLength-chord.