The Catmull-Clark algorithm is a method used in computer graphics to create smooth surfaces from polygonal meshes. It works by subdividing the original mesh, adding new vertices and adjusting the positions of existing ones to create a more refined shape. This process helps in generating complex, curved surfaces that are visually appealing. Developed by Edwin Catmull and James Clark in 1978, the algorithm is widely used in 3D modeling and animation. It allows artists and designers to create high-quality models with less manual effort, making it a popular choice in industries such as film and video game development.