Spline Theory

Spline theory involves creating smooth curves that pass through or near a set of points, ensuring a seamless transition between them. These curves, called splines, are designed using mathematical functions that minimize abrupt changes, resulting in a natural flow. Commonly used in computer graphics, modeling, and data fitting, splines allow for flexible and precise shaping of complex forms while maintaining smoothness. Think of them as adaptable connectors that create smooth, flowing paths through a collection of points, balancing fidelity to data with aesthetic and functional qualities.