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As far as I know there are different scales used in different stages of the pipeline.

Initially there is something called work_scale, which resizes the images to a more convenient size (trade-off between quality/processing time).

Then there is something called seam_scale, which is used right after feature detection/description. During "seam finding" the stitching pipeline finds the best seams where to cut off two overlapping images. In other words, it looks better to cut off where neighbouring pixels are similar instead of assuming that the pixels along the image boundary will look like the other picture.

Finally there is something called compose_scale, which, I think, is used to control the final stitched image size.