This adds a new rest endpoint: /rest/blockfilter/filtertype/requesttype/blockhash (eg /rest/blockfilter/basic/header/000000000019d6689c085ae165831e934ff763ae46a2a6c172b3f1b60a8ce26f.hex) which exposes either the filter “header” or the filter data itself. Most of the code is cribbed from the equivalent RPC.
You can test it at http://bitcoin-rest.bitcoin.ninja/rest//blockfilter/basic/header/000000005b7a58a939b2636f61fa4ddd62258c5fed57667a35d23f2334c4f86d.hex