When the LSAC model realizes image segmentation, the movement process of the active contour curve from the initial position to the end target edge corresponds to the numerical solution process of the model. High precision, fast convergence, and good stability are the requirements for high-performance numerical algorithms.

 

In the LSAC model, the object of the numerical algorithm is usually PDE, because whether it is the LSF evolution equation established directly based on the curve evolution theory, or the gradient descent flow equation obtained based on the energy functional combined with the variational method, all belong to the definition in the continuous domain. P DE on. Since the digital image naturally constitutes an equally divided grid, the discrete LSF defined on the grid can be used to represent the continuous LSF, thereby realizing the discretization of the PDE.