Under which dynasty was the Byzantine Empire recreated in the second half of the 13th century?

The restoration (restoration) of the Byzantine Empire began in 1261 (August 15), when, after the capture of Constantinople by Alexei Stratigopulus (July 25) and the defeat of the Latin Empire, Mikhail Paleologus (after the coronation of Mikhail VIII Paleologue) was crowned a second time in the Cathedral (temple) of St. Sophia.
The reign of the Palaeologus dynasty (the most durable dynasty of the Byzantine Empire) lasted until the capture of Constantinople by the troops of Mehmed II the Conqueror in 1453 (May 29) and the death of the last emperor Constantine XI (killed during the capture of the city).