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<h3>Mapping and patching </h3>

<p>Take a look into the <a href="/tutorials/MappingAndPatching.html">Mapping and patching</a> tutorial to learn how to map the surface of a population of vessels onto the same parametric space and enable statistical analyses of surface-based quantities</p>

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<pre><code>// Longitudinal and circumferential metrics

vmtkbranchmetrics -ifile aorta_clipped.vtp -centerlinesfile aorta_cl.vtp -abscissasarray Abscissas -normalsarray ParallelTransportNormals -groupidsarray GroupIds -centerlineidsarray CenterlineIds -tractidsarray TractIds -blankingarray Blanking -radiusarray MaximumInscribedSphereRadius -ofile aorta_clipped_metrics.vtp

//Metrics mapping to branches

vmtkbranchmapping -ifile aorta_clipped_metrics.vtp -centerlinesfile aorta_cl.vtp -referencesystemsfile aorta_cl_rs.vtp -normalsarray ParallelTransportNormals -abscissasarray Abscissas -groupidsarray GroupIds -centerlineidsarray CenterlineIds -tractidsarray TractIds -referencesystemsnormalarray Normal -radiusarray MaximumInscribedSphereRadius -blankingarray Blanking -angularmetricarray AngularMetric -abscissametricarray AbscissaMetric -ofile aorta_clipped_mapping.vtp

//Patching of surface mesh and attributes

vmtkbranchpatching -ifile aorta_clipped_mapping.vtp -groupidsarray GroupIds -longitudinalmappingarray StretchedMapping -circularmappingarray AngularMetric -longitudinalpatchsize 0.5 -circularpatches 12 -ofile aorta_clipped_patching.vtp</code></pre>

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<p>A common application is <code>mapping and patching</code> of fluid dynamics variables,

such as wall shear stress <code>(WSS)</code> or oscillatory shear index <code>(OSI)</code>, obtained

on the surface mesh typically by means of a CFD simulation.</br>

By construction of a harmonic function over each vascular segment,

vmtkbranchmapping maps and stretches the longitudinal metric to correctly

account for the presence of insertion regions at <code>bifurcations</code>; the additional

StretchedMapping array is added to the surface.