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UWE Bristol Engineering showcase 2015

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Barry Clarbull<br />

MEng Aerospace Manufacturing <strong>Engineering</strong><br />

Project Supervisor<br />

Dr Gary Atkinson<br />

Polarised Light in defect detection – Part B<br />

Shape from Polarisation<br />

The polarisation of light is a<br />

phenomenon that can not be<br />

detected by the human eye, for this<br />

reason it is still a relatively new and<br />

exciting technique within computer<br />

vision.<br />

Polarised light by reflection and<br />

refraction<br />

Light can be polarised in three ways,<br />

the image above shows how light is<br />

polarised by reflection, refraction<br />

caused by a direct reflection, known<br />

as specular polarisation and is shown<br />

above. Polarisation can also be<br />

caused by subsurface scatter, known<br />

as diffuse polarisation and shown<br />

below.<br />

These different types of polarisation<br />

have slightly different theory and<br />

produced different amounts of<br />

polarisation.<br />

In this process a series of images<br />

were captured using a linear polariser<br />

at various angles. As the polariser is<br />

rotated the intensity of the light<br />

transmitted through it increases and<br />

decreases and thus can be thought of<br />

as acting like a Sine wave.<br />

Calculations were completed to<br />

obtain a the phase angle of the<br />

polarised light, the degree of<br />

polarisation on the object, and the<br />

zenith angle of the surface normal.<br />

From this data it is then possible to<br />

reconstruct the object in3D.<br />

A Snooker ball to be reconstructed<br />

Phase angle image of a hemisphere<br />

The Zenith angle at various points on<br />

the sphere<br />

The zenith angle is the angle from the<br />

perpendicular, around to the surface<br />

normal. This is shown in the diagram<br />

below.<br />

The data shown can then be<br />

combined to show a vector at every<br />

pixel. However as the phase angle is<br />

only know up to 180° there is two<br />

directions where this is true, meaning<br />

that there is an ambiguity which<br />

needs solving. This is a concave/<br />

convex ambiguity and for this project<br />

is solved by manually telling the<br />

image which direction the vectors are<br />

meant to be pointing, because of this<br />

a ridge can be seen on the top of the<br />

reconstruction.<br />

3D Reconstruction of sphere<br />

The 3D reconstruction above is<br />

produced purely from diffuse<br />

polarisation. A few anomalies are<br />

visible on the art on the sides, as well<br />

as a small flat on the top caused by<br />

image saturation. However the<br />

surface finish is smooth, and the<br />

shape is quite well represented.<br />

Project summary<br />

The aim of this project was to investigate the use of<br />

polarised light as a means of shape recovery and<br />

quantify whether it could be adequately used for<br />

detecting shape defects. As the project is very<br />

complex much more emphasis was placed on<br />

optimising shape recovery and 3D reconstruction.<br />

Project Objectives<br />

• Investigate the use of diffuse polarised light as a<br />

method of shape reconstruction.<br />

• Investigate specular polarisation and the<br />

difference in the degree of polarisation that can be<br />

obtained.<br />

• Investigate pure specular reflection.<br />

• Assess the use of polarised light as a method of<br />

defect detection.<br />

Project Conclusion<br />

In conclusion good data was obtained to quantify a<br />

shapes geometry using shape from polarisation was<br />

very good. A 3D reconstruction was produced using<br />

diffuse polarisation theory, however flaws in this<br />

reconstruction are still present so the quality is not<br />

good enough to use to asses for defects.<br />

Further study would drive this project to combine it<br />

with other techniques such as shape from shading to<br />

automatically solve the concave/convex ambiguity<br />

and to produce a much more consistent part.<br />

Over all the project was a success and provided lot of<br />

interesting data.

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