As is known, for a pixel's value to be interpolated using bicubic interpolation the neighboring 16 pixel values are needed, but if a pixel lies at a corner of an image, and it's value needs to be interpolated how will it be done?
Which pixels will be considered for interpolation, since it is not surrounded by 16 pixels?
Depends on your software implementation.
1 - Excluded if you cannot get to 16 (no data = exclusion). This is how ArcGIS does it anyway. So they become no data.
http://desktop.arcgis.com/en/arcmap/10.3/manage-data/raster-and-images/resample-function.htm
"Bilinear Interpolation Plus—Uses Bilinear Interpolation, except the pixels along the edges are defined as NoData (since there are no surrounding pixels for an accurate calculation)."
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