Atributy předmětu
Have you ever wondered how Hollywood creates lifelike water and fire, how self-driving cars find the safest route, how doctors reconstruct the shape of a baby from MRI scans during pregnancy, how MRI data is turned into 3D models of the brain, how cardiologists simulate electrical signals propagating through the heart? These are only a glimpse of remarkable applications where evolving surfaces shapes that move, grow, or change over time are the invisible engine behind modern technologies.
This course is dedicated to answering the mentioned questions above by building a foundational understanding of surface evolution across physics, engineering, and applied mathematics. The course offers a deep, intuitive understanding of surface evolution, equipping you with essential tools for modeling motion, shape change, and geometry-driven dynamics. Youll explore these topics through real-world examples and hands-on formulations, before even hearing terms like level set method. More importantly, if you're excited about trendy neural network solvers in surface evolution, this course gives you the core mathematical foundations you'll need in the future because even machine learning must respect the physics of surfaces in motion.
