Advances in astronomical image processing - Solving the problems of image coaddition and image subtraction
While co-addition and subtraction of astronomical images stand at the heart of observational astronomy,
the existing solutions for them lack rigorous argumentation, are not achieving maximal sensitivity and are often slow.
Moreover, there is no widespread agreement on how they should be done, and often different methods are used for different scientific applications.
I am going to present rigorous solutions to these problems, deriving them from the most basic statistical principles.
These solutions are proved optimal, under well defined and practically acceptable assumptions,
and in many cases improve substantially the sensitivity, robustness and speed of both coaddition and subtraction.
For coaddition, I will present a coadd image that is:
For subtraction, I will present a subtraction image that is: