Description
Level one-point picture with a vertical scale relative to a ground line at the picture plane.
Studio measurements translate a design into lengths, areas, volumes, angles, proportions, and material quantities. Consistent units and an explicit geometric model make the calculation interpretable. Real materials, fabrication allowances, visual judgments, and installation conditions require information beyond a geometric term.
Level one-point picture with a vertical scale relative to a ground line at the picture plane.
When to use this tool
Use Painting Perspective Horizon Eye Height Term when you need a geometric or material-budget term for a supplied studio design before checking real material and installation conditions.
How to use the tool and how it works
- Enter eyeHeight, pictureScale, groundLine. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read horizon. Use the output convention below.
Calculate horizon=groundLine+eyeHeight*pictureScale with nonnegative eyeHeight and pictureScale.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| eyeHeight | Eye Height | Required. Finite number; minimum 0. |
| pictureScale | Nonnegative picture-coordinate units per physical height unit. | Required. Finite number; minimum 0. |
| groundLine | Ground Line | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| horizon | Horizon | Required. Finite number. |
{
"input": {
"eyeHeight": 1.6,
"pictureScale": 100,
"groundLine": 20
},
"output": {
"horizon": 180
}
}Limitations and assumptions
- PictureScale must convert the supplied height unit into the picture coordinate unit, and the formula assumes positive coordinates point upward. Camera geometry, perspective fitting, and viewer position are not inferred.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- 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 measured material allowances and a complete drawing or fabrication model when physical behavior matters. The supplied geometric term can be one input to that separate process.
References
Similar or alternative tools
- Easel Canvas Tilt Projected Height
Calculate verticalHeight=canvasHeight*cos(tiltFromVertical) and backwardDepth=canvasHeight*sin(tiltFromVertical).
- Perspective Vanishing Ray Intersection Parameter
Intersect two infinite planar perspective lines; signed parameters expose intersections behind either origin.