Interactive geometry

Trace distance through an irregular support

Choose a support and supply up to four centres. Drag a centre or select an in-support pixel to see its assigned region, shortest path, distance to the centre, distance to the nearest boundary, and both coordinates.

Static explanation

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The tutorial remains available without JavaScript and shows every image-preparation and geometry-construction stage.

Read the static tutorial

Side-by-side relative boundary-depth and normalized-progression maps

Inputs

Geometry and measurement

Support

Elongated-tail width 100%

Only changes the lateral width; the prescribed centreline remains fixed.

Supplied centres

Drag the coloured markers inside either map.

Grid resolution Registered tracer

Propagation progress 100%

ρ_D

Relative centre–boundary depth

Position between the assigned centre and nearest support boundary.

ρ_X

Normalized progression

Distance from the assigned centre relative to that region’s maximum distance.

Selected pixel

Path and coordinate values

Select an in-support pixel to inspect its assigned centre and distances.

The white path is the shortest 8-neighbour route that remains inside the accepted support.

Trace distance through an irregular support

Path and coordinate values

Median tracer profile as propagation advances