Freeform surfaces refer to surfaces that do not follow traditional geometric shapes like planes, cylinders, or spheres. Instead, they are irregular and non-rectilinear in nature. Freeform surfaces are often used in various applications, such as in architecture, industrial design, optics, and automotive design, where complex and aesthetically appealing shapes are desired. Research in the area of freeform surfaces focuses on developing innovative methods for designing, modeling, and manufacturing these complex surfaces efficiently and accurately. This includes developing mathematical algorithms and computational tools for generating and analyzing freeform surfaces, as well as exploring new materials and manufacturing techniques that can produce these surfaces with high precision. Overall, research in freeform surfaces aims to push the boundaries of traditional design and manufacturing processes, enabling new possibilities for creating unique and customized products that were previously considered challenging or impossible to achieve.