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I am aware how to rasterize a 2D line, but if I have two coordinate triplicates (x1,y1,z1) and (x2,y2,z2), how can I efficiently rasterize the resulting connecting line such that the raster cell values represent the proper slope of the original points? I am willing to explore any solutions through ArcGIS, Arc Workstation, GDAL/OGR, SAGA GIS, etc.

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If you already have or can create the line itself as a 3D entity (ie with z values), the Feature to Raster tool can use the z value in creating the raster.

You could also use the points to create a raster via interpolation, and then use Extract by Mask to pull out just the cells along the line. Not sure if that will take a line as a mask, but if not you could just use feature to raster as above on the line and then use that result as a mask.

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