Burrows-Wheeler Transform: Unlocking Efficient Data Compression

The Burrows-Wheeler Transform (BWT) is a clever data compression algorithm that rearranges a character string to create runs of similar characters, making it easier to compress using techniques like run-length encoding. Imagine shuffling a text to create many consecutive 'the's – much easier to compress! BWT sorts all cyclic shifts of the string and extracts the last column. Remarkably, this transformation is reversible without needing extra data. Used in bzip2 and other compression tools, BWT also finds applications in genomics, image compression, and more. Its efficiency is further enhanced by algorithms that update the transform quickly after text edits, minimizing computational overhead.