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There is a 10 meter resolution land cover raster. An analyst wishes to resample 10 meter raster to 30 meter raster. The analyst selects the Bilinear Resampling technique in the Resample tool of the Raster Processing toolset of ArcGIS 10.3.

ArcGIS 10.3 help defines the Bilinear Resampling technique as:

Performs a bilinear interpolation and determines the new value of a cell based on a weighted distance average of the four nearest input cell centers. It is useful for continuous data and will cause some smoothing of the data.

A 30 meter output cell will contain nine cells from the input 10 meter raster. The closest input cell center will be the one that perfectly overlaps the output cell center. That leaves three remaining input cell center values for inclusion in the bilinear interpolation. In the resample of 10 m to 30 m there are eight remaining values that are equidistant to the output cell center.

Which 3 values of the 8 equidistant values are utilized to create the output?

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    Maybe the nearest centers are left, right, up, and down. Centers of the four corner pixels are not as close. Don't know what to think about the middle pixel. – user30184 Sep 20 '18 at 18:00
  • True. Centers of the four corner pixels would be 10*√2 = 14.14 meters away from the center of the 30 meter output when resampling from a 10 meter input. Left, right, up, down centers would be 10 meters away. Verification that the middle pixel value of the input is ignored? – M. Graham Sep 21 '18 at 16:36
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http://pro.arcgis.com/en/pro-app/tool-reference/data-management/resample.htm

"If the center of the pixel in output space falls exactly the same as one of the >pixels in the input cells, that particular cell value gets all the weights, >thereby causing the output pixel to be the same as the cell center. This will >affect the result of bilinear interpolation and cubic convolution."

This is for ArcGIS Pro rather than ArcGIS 10.3.1

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