I'm a junior currently pursuing a mathematics degree with aspirations toward medical school. I have a senior project I have my entire last year to devote time to, and I've decided that I want to tackle the challenge of medical signal processing. I'd like to write a program that reconstructs a 3d-model of the object from the cross-sectional images provided to it, very much like a CT scan. However, I have no idea where to start. You can assume that I have a good level of mathematical knowledge or the drive to acquire what is needed, so don't be afraid to throw some academic papers my way! I'd really like to dive in to my research as soon as possible, but I can't quite figure out where to start. What materials would you recommend to someone starting out, such as myself?
What about for a start:
Buzug, Computed Tomography
Hermann, Fundamentals of Computerized Tomography
An oldie but goodie is Kak and Slaney, Principles of Computerized Tomography which is available on line.