ICP Point Cloud Registration Algorithm Implementation

The ICP (Iterative Closest Point) algorithm is a classical method for rigid 3D point cloud registration. This implementation provides a MATLAB-coded version of the ICP algorithm, featuring efficient nearest-neighbor search and error minimization techniques. The algorithm operates iteratively by: 1) establishing point correspondences through kd-tree or exhaustive search, 2) computing the optimal rigid transformation using SVD-based least squares minimization, and 3) applying the transformation to align point clouds. Key MATLAB functions utilized include pdist2 for distance calculations, svd for transformation matrix computation, and iterative refinement loops with convergence criteria. This implementation demonstrates practical applications in robotics navigation, 3D reconstruction, and computer vision projects. The code structure emphasizes computational efficiency through vectorized operations and includes configurable parameters for maximum iterations and error thresholds. This MATLAB implementation aims to provide an accessible and educational reference for researchers and developers working with point cloud registration techniques.