Explore the fundamentals of convolutions in image processing through this comprehensive 36-minute video lecture from MIT's 18.S191 Fall 2020 course. Delve into topics such as box blur, Gaussian blur, and edge detection using Sobel filters. Learn about kernels, computational complexity, and the relationship between convolutions and polynomial multiplication. Discover the connection to Fourier transforms and their application in image processing. Gain hands-on experience with Julia programming language, including the use of the ImageFiltering package and OffsetArrays. Follow along as the lecturer demonstrates various image processing techniques, from basic blurring to advanced edge sharpening, providing a solid foundation in computational thinking for image manipulation.