Lenses & opticsExplainer

360 degree inspection lens: inner wall, outer wall and bore imaging

How 360 degree inspection lenses image the outer wall of a cylinder or the inside of a bore in one shot, how to unwrap the ring image, and their size limits.

LumaSpec Vision7 min read Share on LinkedIn

On this page 8 sections
  1. 01Three ways to see all the way round
    1. Outer-wall lenses
    2. Inner-wall and bore lenses
    3. Mirror (multi-angle) lenses
  2. 02What the ring image means for resolution
    1. A worked example
  3. 03Depth of field and aperture
  4. 04Size limits you cannot design around
  5. 05When a 360 degree lens is the wrong choice
  6. 06Lighting the ring evenly
  7. 07Next step
  8. 08Questions

Caps, vials, preforms, pins, valve bodies and threaded bores share a problem: the area to inspect wraps around the part. A normal lens looking down sees only the top; a camera from the side sees less than half the wall. The usual fixes are three or four cameras, or a part that rotates in front of one camera. A 360 degree inspection lens does it with one camera and one image, with no rotation. This explainer shows how the different types work, what the ring image means for resolution, and where these lenses stop being the right tool.

Three ways to see all the way round

Outer-wall lenses

A standard lens has its entrance pupil inside the lens: rays spread out from the lens towards the part, so the camera only sees surfaces facing it. An outer-wall (pericentric or hypercentric) lens moves the point where the rays converge out in front of the lens, beyond the part. The rays now arrive from outside the part's outline and reach its side walls. The camera sees the top face in the middle of the image and the full side wall around it as a ring.

These lenses suit small cylinders: caps, closures, bottle necks, pins, screws and preforms. For example:

360° inspection lenses360° imaging system (outer surface), 2/3", C-mount (LS-PCL-0081)LS-PCL-0081
Sensor format
2/3"
Mount
C-mount
Image circle
Up to 8 mm
Working distance
Under 65 mm
$909.00View partBuild a system with it

Its data sheet gives a minimum object diameter of 4.5 mm and lists drug containers, plastic caps, preforms and threaded parts as typical uses.

Inner-wall and bore lenses

An inner-wall lens looks into a bore, tube or cup and images the inside wall as a ring around the bottom. Some designs carry their own LEDs, because lighting the inside of a bore from outside is difficult:

360° inspection lenses360° inner-wall inspection lens, 1/3", Embedded Illumination (LS-PCL-0052)LS-PCL-0052
Sensor format
1/3"
Mount
C-mount
Image circle
Up to 8 mm
Working distance
Under 65 mm
$1,655.00View partBuild a system with it

Others leave the illumination to you, which allows coloured, polarized or infrared light:

360° inspection lenses360° inner-wall inspection lens, 2/3", for external illumination (LS-PCL-0054)LS-PCL-0054
Sensor format
2/3"
Mount
C-mount
Image circle
Up to 8 mm
$1,300.00View partBuild a system with it

Typical tasks are burrs and chips inside drilled holes, thread presence in tapped holes, coating gaps inside tubes and contamination inside containers.

Mirror (multi-angle) lenses

A third design surrounds the part with mirrors. Each mirror shows one side view, and the camera sees the top of the part in the centre with several side views around it. Because each side view is a normal, undistorted image of one segment of the wall, measurements and text are easier to read than in a ring:

360° inspection lenses1", C-mount 360° inspection lens, >=1" (LS-PCL-0015)LS-PCL-0015
Sensor format
1"
Mount
C-mount
Image circle
11-16 mm
Working distance
Under 65 mm
$909.00View partBuild a system with it

It uses 8 mirrors for parts under 15 mm in diameter.

What the ring image means for resolution

Outer-wall and inner-wall lenses map the wall onto a ring between an inner radius r1 and an outer radius r2 on the sensor. Software unwraps the ring into a flat strip with a polar-to-rectangular transform. The circumference of the ring is not the same at both edges:

pixels around the ring at radius r = 2 × π × r resolution around the wall (mm per pixel) = π × part diameter / (2 × π × r) resolution along the wall (mm per pixel) = wall height / (r2 − r1)

A worked example

A 30 mm diameter cap is imaged with a 5 MP camera of 2,448 × 2,048 pixels. The ring runs from r1 = 400 pixels to r2 = 1,000 pixels, and it covers 15 mm of wall height.

  1. The part circumference is π × 30 = 94 mm.
  2. At the outer edge of the ring: 2 × π × 1,000 = 6,283 pixels, so 94 / 6,283 = 0.015 mm per pixel.
  3. At the inner edge: 2 × π × 400 = 2,513 pixels, so 0.037 mm per pixel.
  4. Along the wall: 15 / 600 = 0.025 mm per pixel.

The same scratch therefore covers 2.5 times more pixels at the outer edge than at the inner edge. Work out which end of the wall lands on the outer edge for your lens and part, and if the critical feature (a thread start, a tamper band, a sealing lip) can go there, put it there. Set defect-size limits per zone rather than one value for the whole ring.

Depth of field and aperture

The wall of a cylinder sits at different distances from a 360 degree lens along its height and around its curve, so these lenses need depth of field. Most run at small apertures, F8 to F16, which costs light. Two consequences:

  • Lighting must be bright and even. Unevenness shows as bright and dark sectors around the ring, which look like defects after unwrapping.
  • Small pixels gain little. At F8 the diffraction spot is about 11 µm across at 550 nm; at F16 about 21 µm. On a 2/3 inch camera with 3.45 µm pixels, stopping down to F16 makes the image noticeably soft.

Size limits you cannot design around

Every 360 degree lens is designed for a range of part diameters, wall heights and working distances. Outside that range, part of the wall falls outside the ring or out of focus, and no software fixes it. Data sheets give these limits directly, and they are often tighter than the lens size suggests. This multi-angle lens is a good example:

360° inspection lenses360° multi-angle inspection lens, 2/3", WD 3 mm (LS-PCL-0066)LS-PCL-0066
Sensor format
2/3"
Mount
C-mount
Image circle
8-11 mm
Working distance
Under 65 mm
$1,750.00View partBuild a system with it

Its data sheet allows a maximum object diameter of 60 mm at an object height of 5 mm, but only 30 mm at heights of 10 or 20 mm. Taller parts need a smaller diameter, because the lens has to see over the top edge and down the side at the same time.

Inner-wall lenses have the equivalent limit in bore depth: the deeper the bore relative to its diameter, the steeper the viewing angle on the far end of the wall, and the less detail survives. Check the working distance range on the data sheet against the depth of the zone you need to see, as with this inner-surface system:

360° inspection lenses360° imaging system (inner surface), 2/3", C-mount (LS-PCL-0078)LS-PCL-0078
Sensor format
2/3"
Mount
C-mount
Image circle
Up to 8 mm
Working distance
Under 65 mm
$909.00View partBuild a system with it

When a 360 degree lens is the wrong choice

Situation Better option
Parts larger than about 60 mm in diameter Three or four cameras around the part, or rotation with a line scan camera
Measurement to a few micrometres around the wall Rotation in front of a telecentric lens
Fine print around a large bottle Rotation with a line scan camera, which gives uniform resolution
Very deep, narrow bores Probe optics or a borescope-style camera
Several part diameters on one line One lens per diameter range, or a multi-camera layout

For outer walls of small round parts at production speed, though, one camera with a 360 degree lens is hard to beat: no rotation, no synchronisation between cameras and a single image to process. Thread inspection on fasteners, for example, often uses one, as described in screw thread inspection camera selection.

Lighting the ring evenly

  • Outer wall: a diffuse ring or dome light around the part, sized so that it lights the whole circumference equally. The dome lights suit shiny caps and metal parts; low-angle ring lights suit embossed text and thread profiles.
  • Inner wall: built-in illumination where the lens offers it; otherwise a small coaxial or ring light that fits the bore opening.
  • Check uniformity on a plain, defect-free part before setting any thresholds: unwrap it and look for brightness bands.

Next step

Browse the 360 degree inspection lenses by sensor format and working distance, then build the camera, lens and light together in the configurator. More lens topics are on the lenses topic page.

Questions

Can a 360 degree lens read text printed around a bottle?

It can image it, but the text is curved and its resolution changes across the ring, so it has to be unwrapped first. For small diameters that works well. For large bottles, a camera with the bottle rotating in front of it, or several cameras, usually gives better resolution per character.

How small a bore can an inner-wall lens inspect?

It depends on the lens design: probe-style optics enter the bore, while looking-in designs need the bore wide enough for the light cone at the required depth. Each lens lists a working distance range and object sizes; check the bore diameter and the depth of the region you need against those figures.

Why is the unwrapped image sharper at one end of the wall than the other?

The wall reaches the sensor as a ring, and the outer edge of the ring has more pixels around its circumference than the inner edge. Parts of the wall also sit at different distances from the lens, so focus and magnification change along the height. Stopping down and placing the critical zone on the outer part of the ring both help.

Do I need special lighting for a 360 degree lens?

The light must reach the whole circumference evenly. Inner-wall lenses often have illumination built in or offered as an option; outer-wall set-ups usually use a diffuse ring or dome light around the part. Shiny parts need the most diffuse light to avoid bright bands around the ring.