Image Processing I: Filter Design and Boundary Conditions

This lecture covers the design of linear-phase filters for image processing, emphasizing the importance of boundary conditions in filter implementation. It discusses the handling of boundaries in image filtering, including lazy and consistent approaches. The lecture also explores Fourier-domain filtering, symmetrization techniques, and the advantages of implementing long filters in the Fourier domain. Additionally, it delves into useful filters for image processing, focusing on smoothing techniques and their primary applications. The presentation concludes with a detailed analysis of desirable features for smoothing filters, such as computational efficiency, simplicity, and symmetry.