The theory and technology of 3D reconstruction is one of the important problems in the computer visual field

and 3D restruction based on the single image has been the difficult problem in the century since without enough geometry information it was hard to reach the anticipative effects. This thesis aimed at the fact that most of the objects have the characteristics of symmetry or decompose into the limited symmetry objects

and put forward the principle of perspective reversible transformation. At first

the angle

inclination angle and pivot angle should be established in the ternary perspective transformed matrix

then the calibration which indicated the outline of the object can pick up the characteristic straight line. It extractes the host extinguishes information in accordance with the similar features of the parallel group of lines projection angle

then ensured the viewpoint situation and the symmetry surface of object. Based on this three pairs of the known symmetry image coordinates and the space coordinates of the corresponding points confirm with the perspective transformative matrix T. The result is reversed to calculate the other space coordinates of the surface of objects. Finally the objects of 3D reconstruction model can be realized by utlizing OpenGL software.