Description
globalPoint[i] = sectionOrigin[i]+localPoint[i]*axisSigns[i].
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.
globalPoint[i] = sectionOrigin[i]+localPoint[i]*axisSigns[i].
When to use this tool
Use Canal Model Section Offset Registration Term when checking a supplied research or bench-model dimension.
How to use the tool and how it works
- Enter sectionOrigin, localPoint, axisSigns. 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 globalPoint. Use the output convention below.
Require equally long sectionOrigin, localPoint and axisSigns arrays and every sign exactly 1 or -1. globalPoint[i] = sectionOrigin[i]+localPoint[i]*axisSigns[i].1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| sectionOrigin | Section Origin | Required. Array of finite number; maximum items 256. |
| localPoint | Local Point | Required. Array of finite number; maximum items 256. |
| axisSigns | Position-aligned exact +1/-1 axis reflections, with no arbitrary rotation. | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| globalPoint | Global Point | Required. Array of finite number; maximum items 256. |
{
"input": {
"sectionOrigin": [
10,
20,
30
],
"localPoint": [
1,
2,
3
],
"axisSigns": [
1,
-1,
1
]
},
"output": {
"globalPoint": [
11,
18,
33
]
}
}Limitations and assumptions
- Coordinates use a common unit per axis. This supports translation and independent reflections, not arbitrary rotations, scaling, deformation or automatic anatomical registration.
- 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 Origin Token
Return relativeCoordinate = sectionCoordinate-suppliedOrigin, multiplying by -1 when reverseAxis is true.
- Root Model Section Thickness Offset
nominalDepth = originDepth+index*thickness; correctedDepth adds missingBefore*thickness; lostDepth = missingBefore*thickness.