Non-Rigid Image Registration Using Thin Plate Spline Interpolation Method

This paper presents a non-rigid image registration approach utilizing the thin plate spline interpolation method, accompanied by a user-friendly GUI interface. As a significant technique in image processing, this method finds extensive applications in medical imaging, computer vision, and related fields. The core algorithm employs thin plate splines to model deformation fields, minimizing bending energy while ensuring smooth coordinate transformations. Key implementation aspects include: - Control point selection and correspondence establishment - Solving the thin plate spline interpolation system using radial basis functions - Warping transformation with energy minimization constraints The method's primary advantage lies in its ability to perform efficient and accurate image registration, particularly for non-rigid deformations, while effectively preserving geometric shapes and topological structures. The GUI implementation typically features: - Interactive control point placement tools - Real-time deformation visualization - Parameter adjustment panels for regularization controls Through the intuitive GUI design, users can conveniently operate the registration process, significantly enhancing both efficiency and accuracy in image processing tasks. The implementation often utilizes matrix operations for spline coefficient calculation and employs interpolation techniques for smooth image transformation.