Cubic Interpolation

Cubic interpolation is a mathematical method used to estimate intermediate values between two known data points smoothly. It uses a cubic polynomial (a third-degree curve) that passes through the known points and maintains a smooth transition, ensuring the curve's slope is continuous. This method creates a natural, gentle curve that not only fits the known data exactly but also predicts intermediate points with more accuracy than simpler methods like linear interpolation. It’s widely used in graphics, data analysis, and signal processing to produce realistic and visually appealing results.