title: Natural Neighbor Interpolation in R
body: <p>I need to conduct Natural Neighbor Interpolation (NNI) via R in order to smooth my numeric data. For example, say I have very spurious data, my goal is to use NNI to model the data neatly.</p>
  
  <p>I have several hundred rows of data (one observation for each postcode), alongside latitudes and longitudes. I've made up some data below:</p>
  
  <pre><code>Postcode lat        lon         Value
  200      -35.277272 149.117136  7
  221      -35.201372 149.095065  38
  800      -12.801028 130.955789  27
  801      -12.801028 130.955789  3
  804      -12.432181 130.84331   29
  810      -12.378451 130.877014  20
  811      -12.376597 130.850489  3
  812      -12.400091 130.913672  42
  814      -12.382572 130.853877  32
  820      -12.410444 130.856124  39
  821      -12.426641 130.882367  39
  822      -12.799278 131.131697  49
  828      -12.474896 130.907378  38
  829      -14.460879 132.280002  34
  830      -12.487233 130.972637  8
  831      -12.480066 130.984006  49
  832      -12.492269 130.990891  29
  835      -12.48138  131.029173  33
  836      -12.525546 131.103025  40
  837      -12.460094 130.842663  39
  838      -12.709507 130.995407  28
  840      -12.717562 130.351316  22
  841      -12.801028 130.955789  8
  845      -13.038663 131.072091  19
  846      -13.226806 131.098416  50
  847      -13.824123 131.835799  11
  850      -14.464497 132.262021  2
  851      -14.464497 132.262021  23
  852      -14.92267  133.064654  36
  854      -16.81839  137.14707   17
  860      -19.648306 134.186642  3
  861      -18.94406  134.318373  8
  862      -20.231104 137.762232  28
  870      -12.436101 130.84059   24
  871      -12.436101 130.84059   16
  </code></pre>
  
  <p>Is there any kind of package that will do this? I should mention, that the only predictors I am using in this model are latitude and longitude. If there isn't a package than can do this, how can I implement it manually. I've searched extensively and I can't figure out how to implement this in R. I have seen <a href="https://stackoverflow.com/questions/24614376/natural-neighbour-interpolation-error-in-calculating-polygon-intersection-area">one</a> or <a href="http://stackoverflow.com/a/9405831/489704">two</a> other SO posts, but they haven't assisted me in figuring this out.</p>
  
  <p>Please let me know if there's anything I must add to the question. Thanks.</p>