Mathematics is a subject that studies quantity, structure, change and space. In mathematics, face is an important concept. A curved surface is a part of the surface of an object, which is a two-dimensional figure. Through mathematical methods, we can calculate, study and describe surfaces, such as area, perimeter, curvature and so on. So the mathematical surface mentioned in the title is to study the surface of an object by mathematical methods.

Mathematical surface can also refer to the classification problem in mathematics. Many problems in mathematics need to be classified and discussed, such as the situation of equation roots and the properties of graphs. These classification methods are a manifestation of mathematics. Through the classification method of mathematical surface, we can better understand the essence of the problem, find the law of the problem, and then solve the problem.

Mathematical surfaces can also refer to concepts in computer image processing. In computer image processing, surface refers to a group of pixels on the surface of an object. By processing these pixels, we can segment the image and extract the outline of the object. Therefore, in the subject of computer image processing, mathematical surface is a very important concept, which can provide us with efficient and accurate image processing methods.