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I need to adjust the areas in a .las file where the trees and shrubs were cut last year. There are basically 5 classes, with one class ("20") for taller vegetation.

Is there a simple workflow in QGIS or PDAL (command line) to filter out all points of this class within a polygon layer of the clearing area?

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You should be able to adapt the clipping exercise in the PDAL workshop to achieve this. Instead of filtering out the points, use filters.overlay to assign alternative Classification values for the points that are both inside the polygon and meet the where expression (as assigned to filters.overlay) of Classification == 20 || Classification ==5 || ....

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