为了扩大3D重建实体的覆盖域,通过对Sugi moto等[7]的斜对称面检测算法(Sugi moto K,Tomita F.Detection of skewed-symmetrical shape.Proceedings of the IEEE International Conference on I mage Processing,Austin,1994:696-700)进行改进,实现了包括双曲线、抛物线等在内的所有类型的二次曲线的斜对称检测.在曲面的重建过程中,采用参数化方法实现了空间二次曲线的投影匹配,利用斜对称检测算法检测出投影曲线的斜对称轴,并由检测到的斜对称轴生成相应的平面即二次曲面体的斜对称面;同时研究了错解产生的原因.算例验证表明,采用该算法能够对含有对称部分的二次曲面体进行精确的斜对称面检测.
The skewed symmetry detection plays an improtant role in three-dimensional（3-D） reconstruction. The skewed symmetry depicts a real symmetry viewed from some unknown viewing directions. And the skewed symmetry detection can decrease the geometric constrains and the complexity of 3-D reconstruction. The detection technique for the quadric curve ellipse proposed by Sugimoto is improved to further cover quadric curves including hyperbola and parabola. With the parametric detection, the 3-D quadric curve projection matching is automatical- ly accomplished. Finally, the skewed symmetry surface of the quadric surface solid is obtained. Several examples are used to verify the feasibility of the algorithm and satisfying results can be obtained.
