[2] He apprenticed as a pharmacist in Aalborg and then moved to Copenhagen where he graduated as candidatus pharmaciae in 1858.

[6] The firm offered a wide selection of high quality stereoscopies and photographs in large and small formats from Copenhagen.

Other images were of prominent cultural figures such as Grundtvig, Hans Christian Andersen, actors in costumes, works by Bertel Thorvaldsen and 33 stereoscopies from Greenland recorded in 1866.

[6] Budtz Müller collaborated with Jean Christian Ferslew in introducing photolithography to the Danish market and created the first photolithographic maps for the Danish General Staff,[5] as well as a number of reproductions of manuscripts for the Arnamagnæan Institute.

He wrote a number of articles about the history of photography in Den fotografiske Forenings Tidende in 1865.