Marine horizontal-transect coverage calculator

Calculate covered area inside boundary and overlap area counted more than once with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use covered area inside boundary and overlap area counted more than once to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Horizontal survey tracks [x start,y center,x end,swath width]
[[0,2,10,4],[0,5,10,4]]
Rectangular survey boundary [west,south,east,north]
0,0,10,10
Covered area inside boundary
70
Overlap area counted more than once
10
Boundary coverage fraction
0.7

Try another scenario

Horizontal survey tracks [x start,y center,x end,swath width]
[[0,2,10,4],[0,6,10,4]]
Rectangular survey boundary [west,south,east,north]
[0, 0, 10, 10]
Covered area inside boundary
80
Overlap area counted more than once
0
Boundary coverage fraction
0.8
Calculation method

Calculation method

Covered area inside boundary

Clip horizontal rectangular swaths to boundary, calculate union by exact slab sweep.

Overlap area counted more than once

Sum clipped swath areas minus union area.

Boundary coverage fraction

Union area/boundary rectangle area.

Symbols and units
a
Horizontal survey tracks [x start,y center,x end,swath width]
b
Rectangular survey boundary [west,south,east,north]

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Exact planar coverage for horizontal straight rectangular swaths clipped to an axis-aligned rectangular boundary. Arbitrary curved tracks and irregular survey boundaries are outside this supported geometry. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Rectangular survey boundary [west,south,east,north]: minimum None, maximum 1000000000000.0.
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