Based on texture mapping

a perspective texture mapping is proposed in this paper. First

the principle of perspective transformation and its application in the texture mapping of free-form surface are presented. During the perspective texture mapping

the precision of approximation of bicubic patches is better than that of polyhedrons

so bicubic Bezier patches are used to approximate free-form surface. Then

the arithmetic of the perspective texture mapping is introduced: through getting the corresponding relationship between the texture space and the object space

and the corresponding relationship between the object space and the screen space

we get the corresponding relationship between the texture space and the screen space. Finally the aliasing is discussed. This method can also be effectively used for polyhedron and free-form body.