Cubic Splines: Intuition, Construction, Stability

Cubic splines connect data points with smooth, reliable curves. We build the idea from first principles, compare linear and quadratic pieces, set the boundary conditions, then show why splines stay stable when a single high degree polynomial does not. You will see the geometry on the grid, the equations that enforce continuity of slope and curvature, and a simple path to code. 🎥 Made with Manim 📖 More lessons: Visit TensorPhilia Blog 💬 Questions or ideas: leave a comment