| 正交投影二次曲面立体图的斜置对称面检测 |
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| 引用本文： | 王翔,丁运亮.正交投影二次曲面立体图的斜置对称面检测[J].南京航空航天大学学报(英文版),2009,26(3). |
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| 作者姓名： | 王翔 丁运亮 |
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| 作者单位： | 南京航空航天大学航空宇航学院,南京,210016,中国 |
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| 基金项目： | 国家自然科学基金(10377007)资助项目. Foundation item: Supported by the National Natural Science Foundation of China |
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| 摘 要： | 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.
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| 关 键 词： | 三维绘图 表面重建 斜对称检测 二次曲面体 |
SKEWED SYMMETRY DETECTION OF QUADRIC SURFACE SOLIDS UNDER ORTHOGRAPHIC PROJECTION |
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| Wang Xiang,Ding Yunliang.SKEWED SYMMETRY DETECTION OF QUADRIC SURFACE SOLIDS UNDER ORTHOGRAPHIC PROJECTION[J].Transactions of Nanjing University of Aeronautics & Astronautics,2009,26(3). |
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| Authors: | Wang Xiang Ding Yunliang |
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| Abstract: | 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 automatically 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. |
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| Keywords: | three-dimensional computer graphics face reconstruction skewed symmetry detection quadric surface solid |
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