Lightweight data compression techniques like dictionary or run-length compression play an important role in main memory database systems. Having decided for a compression scheme for a dataset, the transformation to another scheme is very inefficient today. The common approach works as follows: First, the compressed data is decompressed using the source decompression algorithm resulting in the materialization of the raw data in main memory. Second, the compression algorithm of the destination scheme is applied. This indirect way relies on existing algorithms, but is very inefficient, since the whole uncompressed data has to be materialized as an intermediate step. To overcome these drawbacks, we propose a novel approach called direct transformation, which avoids the materialization of the whole uncompressed data. Our techniques are cache optimized to reduce necessary data accesses. Moreover, we present application scenarios, where such direct transformations can be efficiently applied.