Borescope field of view and resolvable detail

A borescope sees a cone. The optical head has a fixed angular field of view — typically 50° to 90° for a forward-looking probe — and what that cone covers on the surface depends entirely on how far the tip is from it: W = 2·d·tan(FOV/2). Double the standoff and you double the coverage, which sounds efficient until you realise the detail halves at the same time. Inspecting fast from a distance is the classic way to miss a crack in a bore.

Resolution is set by the image sensor, not the optics, on any modern videoscope. The field of view is divided across a fixed number of pixels, so the ground sample distance is W/N per pixel. A feature needs at least two pixels across it to be distinguished at all — the Nyquist limit — and in practice three or more for a technician to recognise it with confidence against a textured, oily, poorly lit surface. Turning that round gives the maximum standoff at which a specified feature size stays resolvable, which is the number to write into a remote-visual procedure.

Remote visual examination is accepted by ASME V Article 9 in place of direct VT only when the system is demonstrated to resolve at least the equivalent detail. That demonstration is the real acceptance test, and these figures are a planning tool for it: they tell you the standoff at which to run the demonstration and whether the probe you have can possibly meet the requirement before you mobilise.

Treat the results as the best case. Real probes lose resolution towards the edge of the field through barrel distortion and falling MTF, illumination from the tip falls off as the inverse square so the far side of a large bore is dimmer, and side-viewing prisms change the geometry so that the field is no longer symmetric about the target. Contrast matters as much as size — a tight fatigue crack can be invisible at a standoff where a 0.5 mm scratch is obvious.

Worked example

Field of view (full angle)60 deg
Working distance (tip to surface)25 mm
Pixels across the field640
Pixels needed per feature2
Feature size to be resolved0.5 mm
Field of view at the target28.87 mm
Ground sample distance0.0451 mm
Smallest resolvable feature0.09 mm
Area covered per view654.5 mm2
Maximum standoff for the required feature138.6 mm
Required feature resolvable at this standoff1

W = 2 x 25 x tan(30°) = 50 x 0.57735 = 28.87 mm across at the target, an area of π x 14.434² = 654.5 mm². Each of the 640 pixels covers 28.867/640 = 0.0451 mm, so at two pixels per feature the limit is 0.090 mm. A 0.5 mm feature stays resolvable out to 0.5 x 640 / (2 x 2 x 0.57735) = 138.6 mm standoff.

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