how to transfer coin using bitcoin rest API
The list of json RPC commands is located on the wiki: https://en.bitcoin.it/wiki/Original_Bitcoin_client/API_Calls_list

There is a list of json-rpc wrapper libraries on the blockchain wallet API page: https://blockchain.info/api/json_rpc_api

Pick a wrapper library for the environment you develop in and dive in.

To create a transaction, you're going to likely use "sendfrom" or "sendtoaddress".