Miller is one of the most renowned steel engravers of the 1800s and is especially celebrated for his line and steel engravings made from the works of JMW Turner, due to the success of his tonal variation and strong use of line.
He was born in Edinburgh and initially worked as an apprentice to engraver William Archibald. Several years later he moved to London to become apprenticed to another engraver, George Cooke. He returned to Edinburgh however and worked there for the rest of his life, where he specialised in engraving landscape and topographical prints.
Miller died in Sheffield, but his body was returned to Edinburgh for burial.