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R_Bibb_Medical_Modelling_The_Application_of_Adv.pdf

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118 <strong>Medical</strong> modelling<br />

6.6 Effect <strong>of</strong> gantry tilt on a three-dimensional surface rendered skull<br />

(left) and the same after correction (right).<br />

Model stair-step artefact<br />

Two elements contribute to the stepped effect seen in medical models. One<br />

contribution is from the discrete layer thickness at which the model is built.<br />

This is a characteristic <strong>of</strong> the particular RP process and material being used.<br />

Typically, these range from 0.1–0.3 mm. This effect can be minimised by<br />

selecting processes and parameters that minimise the build layer thickness.<br />

However, thinner layers result in longer build times and increased costs,<br />

and an economic compromise is typically found for each RP process. As<br />

the layer thickness is typically an order <strong>of</strong> magnitude smaller than the scan<br />

distance <strong>of</strong> the CT images, it does not have an overriding effect on the<br />

quality <strong>of</strong> the model.<br />

<strong>The</strong> second effect arises from the slice thickness <strong>of</strong> the acquired CT or<br />

MR images and any potential gap between them. <strong>The</strong> stair-step artefact is<br />

a common feature on conventional and single slice helical CT scans where<br />

the slice thickness is near to an order <strong>of</strong> magnitude greater than the in-plane<br />

pixel size (30). <strong>The</strong> artefact is manifest as a series <strong>of</strong> concentric axial rings<br />

around the model. <strong>The</strong> depth and size <strong>of</strong> these rings depends on the CT<br />

imaging protocol, but may be very slight where there is a thin slice used<br />

(e.g. 3 mm acquisition with 1 mm reconstruction interval). In thick-slice<br />

acquisitions (e.g. >3 mm with similar reconstruction interval to the slice<br />

thickness), the stair-step artefact will cause signifi cant distortion to the<br />

model. Fig. 6.7 shows a stereolithography model <strong>of</strong> a full skull. <strong>The</strong> CT scan<br />

was performed on a conventional CT scanner with 5 mm slice thickness and<br />

no interpolation <strong>of</strong> the image data to create thin slices. Note that there was<br />

signifi cant stair-step artefact around the top <strong>of</strong> the skull and on the lower<br />

edge <strong>of</strong> the mandible. <strong>The</strong> stair-step artefact was most prominent on

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