Description
Subtract imageWidth*imageHeight from stoneWidth*stoneHeight for borderArea and divide image area by stone area for imageFraction.
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.
Subtract imageWidth*imageHeight from stoneWidth*stoneHeight for borderArea and divide image area by stone area for imageFraction.
When to use this tool
Use Lithographic Stone Image Border Area 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 stoneWidth, stoneHeight, imageWidth, imageHeight. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read borderArea, imageFraction. Use the output convention below.
Subtract imageWidth*imageHeight from stoneWidth*stoneHeight for borderArea and divide image area by stone area for imageFraction. Require positive stone dimensions and nonnegative fitting image dimensions.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| stoneWidth | Stone Width | Required. Finite number; strictly above 0. |
| stoneHeight | Stone Height | Required. Finite number; strictly above 0. |
| imageWidth | Image Width | Required. Finite number; minimum 0. |
| imageHeight | Image Height | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| borderArea | Border Area | Required. Finite number. |
| imageFraction | Image Fraction | Required. Finite number. |
{
"input": {
"stoneWidth": 40,
"stoneHeight": 50,
"imageWidth": 30,
"imageHeight": 40
},
"output": {
"borderArea": 800,
"imageFraction": 0.6
}
}Limitations and assumptions
- This is total unused rectangular area, not a particular border width or image position. Registration, printing margins, defects, and process constraints 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
- Canvas Border Area Share
Compute a uniform inward rectangular canvas border area and fraction.
- Collage Overlap Visible Area Term
Subtract overlap from bottomArea for visibleBottom and from bottomArea+topArea for visibleTotal, requiring nonnegative overlap no larger than either area.