摘要
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.
斜对称检测是三维重建中一个重要的环节,恰当地对斜对称进行处理可以减少几何约束,从而降低三维重建的复杂度。改进了Sugimoto提出的包括椭圆曲线在内的平面二次曲线的斜对称检测方法,扩大了实体的覆盖域,实现了包括双曲线和抛物线在内的二次曲线的斜对称检测,并通过参数化检测的方法完成了空间二次曲线的投影匹配,最终得到二次曲面体的斜对称面。最后经算例验证得到了满意结果。
基金
Supported by the National Natural Science Foundation of China(10377007)~~
