A New Method for the Binocular Reconstruction of 3D Circle

Analyzing merits and demerits of the classic methods for the reconstruction of 3D circle and based the method for monocular reconstruction of 3D circle whose radius is known, we study the uniqueness proof and the matching principle for binocular reconstruction of 3D circle, further, present a new method for the binocular reconstruction of 3D circle whose radius is unknown. Our method is deduced fully based on the principle of imaging geometry and every step in the method is according to imaging geometry, thereby, it avoids the wrong solution which might happen in the redundant equation error method of the classic methods, and enhances the precision of the reconstruction. Experimental results indicate that the method can not bring any wrong solution which might happen in the classic methods, and is suitable for the reconstruction in the variable special instances and has high precision of the reconstruction