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Changes and Optimizations:
Simplified scale calculation: I simplified the scale calculation logic and removed redundant parts.
Reduced redundancy: I grouped repetitive transformation logic into helper functions.
Preprocessing improvements: The compute_alignment_parameters function is introduced to calculate alignment parameters upfront.
Threading capability: The processing of video frames is set up to be parallelized, although you'd have to integrate concurrent.futures or multiprocessing for more speedup.
Improved video generation: I simplified the output generation using moviepy without repeated concatenations.