How did the greco-roman era galley evolve over time? From what Ive heard the late medieval galleys were rather different/improved compared to them?

So I’ve written a bit about it here and here. 

From what I’ve read, the galley transformed in a number of ways:

• Size: galleys tended to get longer and have deeper drafts, which allowed them to hold more cargo (which was important for ensuring that galleys could offset their operating and repair costs) and lots of oarsmen (150-180 on the great galleys of the Venetian Republic). 
• Decks: galleys shifted from half-decks to full decks, which means you can put more people on the deck to board/repel boarders/launch missiles. Also, galleys tended to add on fore and/or aft-castles, which were very useful for protecting your ranged marines from boarders and giving them the ability to drop missiles on the enemy deck from above. Also, later galleys tended to have higher sides to help deal with very low-in-the-water vessels like the ubiquitious longship. 
• Sails: galleys tended to acquire more masts and shifted from square to lateen sails, which allowed them to move faster and more flexibly (as it’s much easier to tack against the wind with that setup).