Abstract: Symmetry plays a very vital role in 3D reconstruction. Skewed symmetry depicts a real symmetry viewed from some (unknown) viewing direction. Skewed symmetry detection could reduce the complexity of 3D recovering. A method is presented to detect the skewed symmetry surface of quadric surface solids, which enlarges the skewed symmetry detection theory put forward by SUGIMOTO to all quadric surfaces. If all the symmetry axises are found, the skewed symmetry surface can be generated using the turn to-the-left-most approach. This algorithm has no requirements on projection direction, thus expands the coverage of 3D reconstruction.

Key words: computer graphics, 3D reconstruction, skewed symmetry detection, quadric surface solid