| 1. | An enticing game is to choose the basis so as to make the matrix as simple as possible .
一个吸引人的游戏是去选择适当的基本矩阵并使它尽可能简单。 |
| 2. | We give a constraint for conic correspondence only from fundamental matrix , and then we design an aigorithm for conic correspondence based on the constraint
我们仅从基本矩阵出发，给出了二次曲线匹配的约束，并设计出匹配算法，该算法是线性的。 |
| 3. | The experiments show that the method proposed by us is more robust , comparing to the method of estimating projective depths based on fundamental matrix and epipolar points . 2
实验证明：相对于基于基本矩阵和极点方法来计算射影重构，本论文提出的算法对噪声具有更好的鲁棒性。 |
| 4. | A method to estimate image corresponding and fundamental matrices simultaneously is presented , which reduces wrong correspondings and improves accuracy of estimated fundamental matrices
为了减少错误匹配和提高基本矩阵估计的精度，本文提出了同时计算特征点的匹配和估计基本矩阵的新方法。 |
| 5. | To recover scene structure from motion , firstly the relation between sequential images must be set up through three steps as feature point extraction , corresponding matching and estimation of fundamental matrices
要恢复场景三维形状，首先必须建立序列图像之间的联系。其中包括特征点的提取，特征点的匹配以及基本矩阵的估计。 |
| 6. | We analyze the essence of affine reconstruction and prove the sufficient conditions that a reversible matrix can be an infinite plane homography matrix and we can not uniquely decide an infinite plane homography matrix from fundamental matrix
详细分析了仿射重构的本质，证明了可逆矩阵为无穷远平面单应矩阵的充分条件，以及从基本矩阵无法唯一确定无穷远平面单应矩阵。 |
| 7. | Expatiate the substance of projective reconstruction is solving fundamental matrix , substance of affine reconstruction is solving infinite homography or infinite plane and substance of metric reconstruction is solving absolute conic images
阐述了射影重构的实质是求解基本矩阵，仿射重构的实质是求解无穷远平面或无穷远平面单应，欧氏重构的实质是求解绝对二次曲线的像。 |
| 8. | It is well known that without any priori knowledge on the scene , camera motion and camera intrinsic parameters , the only constraint between a pair of images is the so - called epipolar constraint , or equivalently its fundamental matrix
如果没有景物摄像机内参数摄像机运动参数的先验信息，两幅图像之间仅存在epipolar几何的约束，或等价地说，仅存在一个基本矩阵对图像的约束 |
| 9. | We mainly discuss several prob1ems in the field of 3 - d computer vision , which are the algorithlms for fundamental matrix , conic correspondence , the estimation of projective depths and sphere orientation , etc . our main work is as following f ( 1 ) robust algorithms for fundamental matrix
本文主要讨论了三维计算机视觉领域中的基本矩阵算法、二次曲线匹配、射影深度估计和球体定位等问题。主要工作如下： ( 1 )基本矩阵的鲁棒算法。 |
| 10. | From camera model , we deduce the relation between perspective model and affine model , discuss the properties of projective depths , introduce the general frame of projective reconstruction based on svd , analyze and realize the estimation of projective depths based on fundamental matrix and epipolar points
从摄像机模型出发，详细推导了透视模型与仿射模型的关系，讨论了射影深度的性质。介绍了基于奇异值分解( svd )的射影重构算法的一般框架，分析并实现了基于基本矩阵和极点的射影深度估计算法。 |
