MATLAB Implementation of Linear Interpolation Tool

In this document, we introduce a highly practical tool: linear interpolation. Linear interpolation is a common mathematical and computer science method used to approximate the values of unknown data points between given known data points. When estimating values at unknown positions, linear interpolation often serves as an extremely useful tool. The MATLAB implementation provided here utilizes the fundamental formula: y = y1 + (x - x1) * (y2 - y1)/(x2 - x1), where (x1,y1) and (x2,y2) are known data points. The code features built-in error handling for scenarios like duplicate x-values and automatically sorts input data points to ensure proper interpolation sequencing. Key functions implemented include: - Data validation and preprocessing - Boundary condition handling for extrapolation scenarios - Vectorized operations for efficient computation of multiple interpolation points - Support for both single-point and multi-point interpolation requests If you need to perform linear interpolation in MATLAB, we provide complete source code that will help you effectively solve your interpolation challenges. The implementation includes clear comments and follows MATLAB best practices for easy integration into your projects.