I was trying to fix the Interpolation Class Test that I am adding in #178 and found that the interpolated values look incorrect. The idea of the test is that I start by calculating sin(x) cos(y) + 1 for the node coordinates (top). Then I average the node values to the centroids (bottom middle). Then I tried to interpolate back from the centroids to the nodes using the RBF interpolation. I tried both the adjacency-based search method (bottom left) and my pointcloud-based (n-squared) search method (bottom right) to interpolate the centroid values to the nodes. The two pictures are for 10 by 10 and 20 by 20 element cases, respectively.
I did not make them use the same scale to show that the "trend/shape" of the field remains the same, but the values are lower everywhere. My initial concern is, even though the field can get averaged out, how can it get lower than 1 everywhere?
I was trying to fix the Interpolation Class Test that I am adding in #178 and found that the interpolated values look incorrect. The idea of the test is that I start by calculating
sin(x) cos(y) + 1for the node coordinates (top). Then I average the node values to the centroids (bottom middle). Then I tried to interpolate back from the centroids to the nodes using the RBF interpolation. I tried both the adjacency-based search method (bottom left) and my pointcloud-based (n-squared) search method (bottom right) to interpolate the centroid values to the nodes. The two pictures are for 10 by 10 and 20 by 20 element cases, respectively.I did not make them use the same scale to show that the "trend/shape" of the field remains the same, but the values are lower everywhere. My initial concern is, even though the field can get averaged out, how can it get lower than 1 everywhere?