2D and 3D Surface Interpolation with MATLAB Programs

Below are the 2D and 3D surface interpolation programs I developed using MATLAB, which I'm sharing to help you learn and better understand surface interpolation techniques. These programs employ spline-based interpolation methods designed to accurately approximate surfaces from given data points while generating smooth surface functions. The 2D surface interpolation program utilizes B-spline basis functions, which provide local control and smooth curvature continuity through piecewise polynomial segments. The implementation involves calculating control points and knot vectors to minimize approximation errors. The 3D surface interpolation program employs trilinear interpolation methodology, which performs linear interpolations along three coordinate axes (x, y, z) within volumetric data. This approach efficiently calculates intermediate values using weighted averages of neighboring data points in three-dimensional space. Both programs include error handling for data validation and optimization features for computational efficiency. If you have any questions about using these programs or understanding the underlying algorithms, please feel free to contact me - I'll be glad to provide assistance and technical support.