Final answer:
Filippo Brunelleschi studied the culture of ancient Rome, which heavily influenced his aesthetic and structural designs in architecture. He used perspective drawing techniques, which he learned from studying Roman architecture, to create realistic and accurate paintings with three-dimensional accuracy.
Step-by-step explanation:
Filippo Brunelleschi studied the culture of ancient Rome, which heavily influenced his aesthetic and structural designs in architecture. He went to Rome to study the ruins on Palatine Hill and learned the characteristic elements of Roman architecture. Brunelleschi used perspective drawing techniques, which he learned from studying ancient Roman architecture, to create realistic and accurate paintings with three-dimensional accuracy. His understanding of mathematics and perspective allowed him to design and construct structures such as the dome of the Florence Cathedral.