I'd like to know some references for a beginner who has basic background in Riemann surfaces and differential geometry, and would like to start learning/working on more applied areas, medical imaging/imaging problems in particular. I searched it online, but it was not so productive for me. 


I was also wondering whether one must learn the theory of discrete differential geometry/discrete Riemann surfaces in order to work in these areas; I've sometimes seen faculty webpages mentioning their research in both areas.


Thanks in advance!



Request for some references exploring the connections of Riemann surfaces with medical imaging
Here are some papers--accessible to beginners-- relating circle packings (which themselves are related to triangulations of Riemann surfaces) and image processing:


MR2492509 Williams, G. Brock: Circle packings, quasiconformal mappings and applications. Quasiconformal mappings and their applications, 327–346, Narosa, New Delhi, 2007.


MR2011604 Stephenson, Kenneth: Circle packing: a mathematical tale. Notices Amer. Math. Soc. 50 (2003), no. 11, 1376–1388. <http://www.ams.org/notices/200311/fea-stephenson.pdf>


