MATLAB Code Implementation for Seismic Inversion

The seismic inversion program represents a practical computational approach for solving both overdetermined and underdetermined systems of equations, with widespread applications across multiple domains. The program performs detailed analysis of given equation systems through numerical methods such as least squares optimization for overdetermined cases and regularization techniques for underdetermined scenarios, enabling the identification of optimal solutions that yield crucial seismic-related information. In MATLAB implementation, key functions like lsqnonlin for nonlinear least squares or pinv for pseudoinverse calculations are typically employed to handle the matrix operations. For seismic prediction and disaster prevention applications, the program's ability to process geophysical data through inversion algorithms makes it indispensable. Furthermore, the computational framework extends to other fields including medical imaging, where it supports reconstruction algorithms, and computer vision applications, providing robust support for both academic research and industrial implementations through modular code design and parameter optimization capabilities.