Border Mask Height Sightline Calculator
Intersect supplied audience-eye/hidden-target rays with border plane; ideal local 2D masking screen, not generic seat-angle summaries, full 3D visibility or rigging/egress clearance.
Description
A border-plane sightline is an interpolation along a supplied eye-to-target ray.
A border-plane sightline is an interpolation along a supplied eye-to-target ray. A local 2D test cannot capture every viewing path.1
Enter aligned nonempty finite eye/target heights, positive eye-to-border distances, nonnegative remaining distance and finite border bottom. Return allowable bottom heights and seats where observed bottom is strictly higher.
When to use Border Mask Height Sightline Calculator
Use Border Mask Height Sightline Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No 3D visibility, rigging or egress clearance is assessed.
Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.
How to use Border Mask Height Sightline Calculator and understand its results
- Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.
- Enter audienceEyeHeightsM, audienceToBorderDistancesM, borderToHiddenTargetDistanceM, hiddenTargetHeightsM, observedBorderBottomHeightM using the field table and calculation rules, then run the tool.
- Read requiredMaximumBorderBottomHeightsM, insufficientMaskingSeatIndices. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| audienceEyeHeightsM | Audience eye heights m | list of number | Required |
| audienceToBorderDistancesM | Audience to border distances m | list of number | Required |
| borderToHiddenTargetDistanceM | Border to hidden target distance m | number | Required |
| hiddenTargetHeightsM | Hidden target heights m | list of number | Required |
| observedBorderBottomHeightM | Observed border bottom height m | number | Required |
Enter aligned nonempty finite eye/target heights, positive eye-to-border distances, nonnegative remaining distance and finite border bottom. Return allowable bottom heights and seats where observed bottom is strictly higher.
t=eyeToBorder/(eyeToBorder+borderToTarget); height=eye(1−t)+target×t Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| requiredMaximumBorderBottomHeightsM | Required maximum border bottom heights m | list of number |
| insufficientMaskingSeatIndices | Insufficient masking seat indices | list of number |
{
"input": {
"audienceEyeHeightsM": [
1,
2
],
"audienceToBorderDistancesM": [
4,
4
],
"borderToHiddenTargetDistanceM": 4,
"hiddenTargetHeightsM": [
5,
6
],
"observedBorderBottomHeightM": 3.5
},
"output": {
"requiredMaximumBorderBottomHeightsM": [
3,
4
],
"insufficientMaskingSeatIndices": [
0
]
}
}Limitations and assumptions
No 3D visibility, rigging or egress clearance is assessed.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Stage Depth Thrust Extension Lookup: An abutting thrust extension adds a separate rectangular playing area to the main stage. Its area share differs from longitudinal depth share. For a complementary task, use Proscenium Opening Ratio Lookup: Proscenium proportions compare measured opening width and height with a chosen design brief. A preferred ratio is project-specific.
References
-
Border Mask Height Sightline Calculator — tool.io
Similar or alternative tools
- Stage Depth Thrust Extension Lookup
An abutting thrust extension adds a separate rectangular playing area to the main stage. Its area share differs from longitudinal depth share.
- Proscenium Opening Ratio Lookup
Proscenium proportions compare measured opening width and height with a chosen design brief. A preferred ratio is project-specific.