This post provides a comprehensive explanation of cubic spline interpolation and its implementation in JavaScript. The author expresses a fondness for topics that combine math and programming, and cubic spline interpolation is cited as a prime example of this. The post discusses the challenges of interpolation and presents splines, specifically cubic splines, as a popular method for accurate interpolation. The author highlights the advantages of cubic splines, such as their natural appearance and ability to avoid overfitting. The post also delves into the mathematical equations and techniques involved in constructing and solving the system of linear equations required for cubic spline interpolation. A JavaScript implementation of cubic spline interpolation is provided, along with a visual demonstration using SVG graphics. The code is available on GitHub and is commented and well-documented.
https://eli.thegreenplace.net/2023/cubic-spline-interpolation/