coarsenGeometry{

MESHFREE will cluster all those geometry node points whose distance is less than lengthThreshold. Prior to the clustering, all node points obtain an importance-weight. Points on a geometry edge have a higher weight than regular node points. The new location of the clustered points \( NP_1 , NP_2\) is the mean value \( \mathbf{x}_{clustered} = \frac{1}{2} \left( \mathbf{x}_{NP_1} + \mathbf{x}_{NP_2} \right)\), if the weights are equal. Otherwise, \( \mathbf{x}_{clustered} = \mathbf{x}_{NP_k},\) where \( {NP_k}\) is the index with the bigger weight.