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R_Bibb_Medical_Modelling_The_Application_of_Adv.pdf

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56 <strong>Medical</strong> modelling<br />

Some <strong>of</strong> these routines also operate in three dimensions in order to create<br />

complex curved surfaces called ‘patches’. An object may require a number<br />

<strong>of</strong> patches to cover the whole object surface. <strong>The</strong> patches differ according<br />

to the complexity <strong>of</strong> the mathematical curve routine used.<br />

This kind <strong>of</strong> surface modelling produces highly sophisticated surface<br />

models that are typically used in the automotive, motor sports and aerospace<br />

industries. Usually, objects are designed using surface modelling<br />

packages. However, surface patches are also <strong>of</strong>ten used in reverse engineering<br />

to create useful CAD geometry from digitised physical objects.<br />

4.6.6 IGES surfaces<br />

As stated before, IGES is an international standard that describes computer-aided<br />

design data as mathematically defi ned geometries positioned<br />

in the three-dimensional space (see http://www.nist.gov/iges/). By converting<br />

data from the original source through an intermediary three-dimensional<br />

format, such as the STL fi le, some CAD packages may be able to<br />

generate IGES curves and surfaces based on the original data. <strong>The</strong> nature<br />

<strong>of</strong> the surface and the degree to which it accurately reproduces the original<br />

anatomy will depend greatly on the data formats and CAD packages used.<br />

Some CAD packages also enable the user to create IGES curves and surfaces<br />

from point cloud data obtained using touch probe or non-contact<br />

surface scanners.<br />

IGES curves and surfaces are mathematically described and are normally<br />

relatively smooth and simple surfaces. As such, they are typically used to<br />

defi ne the smooth but accurate surfaces <strong>of</strong> objects in product, aerospace<br />

and automotive design. This makes them less well suited to the highly<br />

complex surfaces <strong>of</strong> human anatomy. However, there are many cases where<br />

it may prove to be a useful approach, particularly when attempting to integrate<br />

human anatomy with the design <strong>of</strong> products that must accommodate<br />

or fi t around people.<br />

<strong>The</strong> curves and surfaces are created by positioning the control points and<br />

boundary lines that defi ne the surface patch onto the surface <strong>of</strong> the source<br />

data. <strong>The</strong> surface patch itself is then mathematically created according to<br />

the type <strong>of</strong> surface the s<strong>of</strong>tware uses. <strong>The</strong> most complex type <strong>of</strong> surface<br />

patch is defi ned by NURBS surfaces (non-uniform rational B-spline). <strong>The</strong><br />

degree to which this kind <strong>of</strong> surface patch matches the source data can be<br />

controlled by altering the number <strong>of</strong> control points in the surface. More<br />

control points enable the surface patch to be more complex and therefore<br />

follow the original data more closely. <strong>The</strong> number <strong>of</strong> control points is normally<br />

set by the user as a variable when creating the patch.<br />

<strong>The</strong> effect <strong>of</strong> altering the number <strong>of</strong> control points can be seen in<br />

Fig. 4.22, which shows an IGES surface patch created from non-contact

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