A good option is Photoscore (Neutraton). Works well with Sibelius and Finale. I am a Sibelius user, but I know a lot of Finale users that are using this program
Lite version comes with Sibelius, and the full version(ultimate) is a different product (more advanced options). You don’t need to own a Sibelius license to buy and use the full version.
Works very well with printed music (computer or tradicional printing), and vary a lot with handwriting music (sometimes it is very good, and sometimes a complete mess).
Here is an alternative (smartscore):