Description
Project a supplied research vector onto an explicitly provided plane normal; no occlusion or clinical inference.
Dental model and device records use coordinate frames, image scale, dimensions, force references, and observation schedules. A projection, gap, ratio, or metadata order checks a particular supplied representation. These local calculations do not establish a treatment plan or the clinical suitability of a device.
Project a supplied research vector onto an explicitly provided plane normal; no occlusion or clinical inference.
When to use this tool
Use Occlusal Plane Normal Component when you need this particular model geometry, device budget, observation share, or record comparison.
How to use the tool and how it works
- Enter vector, normal. 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 normalComponent. Use the output convention below.
Require three-component vector and nonzero normal. Scale the normal by its largest absolute component, normalize it with hypot, and return normalComponent as the vector dot product with that unit normal.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| vector | Vector | Required. Array of finite number; maximum items 256. |
| normal | Normal | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| normalComponent | Signed projection on the normalized supplied normal, retaining vector units. | Required. Finite number. |
{
"input": {
"vector": [
3,
4,
5
],
"normal": [
0,
0,
2
]
},
"output": {
"normalComponent": 5
}
}Limitations and assumptions
- The output retains vector units and its sign follows the supplied normal. No plane, occlusal surface, anatomical coordinate frame, or treatment alignment is fitted or clinically validated.
- 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 validated measurement or device model and appropriate source records for the full task. Check coordinate systems, calibration, geometric assumptions, and observation denominators before interpreting the term.
References
Similar or alternative tools
- Limb Axis Plane Projection Sign
Project a supplied bench axis component with explicit sign conventions; no limb alignment diagnosis.
- Tooth Model Rotation Quaternion Component Term
Construct a right-handed axis-angle quaternion for an explicit model rotation.