视觉测量直升机高速旋转桨叶形变常采用基于圆形标记点的测量方法,但该方法中圆形标记点具有低曝光、小目标和投影不对称等特点,极易产生标记点漏检和圆心坐标误差的问题。为减小漏检、修正圆心坐标误差,提出了一种直升机桨叶图像中圆...视觉测量直升机高速旋转桨叶形变常采用基于圆形标记点的测量方法,但该方法中圆形标记点具有低曝光、小目标和投影不对称等特点,极易产生标记点漏检和圆心坐标误差的问题。为减小漏检、修正圆心坐标误差,提出了一种直升机桨叶图像中圆形标记点圆心检测及修正方法。首先,提取图像中局部极值中心的像素坐标,并依据阵列排布结构滤除干扰,获得所有圆形标记点极值中心的像素坐标;其次,以各极值中心的像素坐标为圆心,与相邻极值的最小距离为直径,建立圆形ROI(region of interest)区域,在ROI区域内并行分水岭变换和最小二乘法圆拟合得到圆心;再次,采用透视变换建立该图像与垂直相机光轴的同相位桨叶图像(正面图像)的投影映射关系,再采用LM(levenberg-marquardt)优化求解投影映射矩阵;最后,将该图像转换为正面图像进行圆心检测,再将该圆心坐标逆变换得到精确圆心坐标。实验结果表明,本文检测方法准确率和精度分别达98.89%和0.191 mm,已应用于直升机高速旋转桨叶运动轨迹和形变的高精度视觉测量。展开更多
A direct as well as iterative method(called the orthogonally accumulated projection method, or the OAP for short) for solving linear system of equations with symmetric coefficient matrix is introduced in this paper. W...A direct as well as iterative method(called the orthogonally accumulated projection method, or the OAP for short) for solving linear system of equations with symmetric coefficient matrix is introduced in this paper. With the Lanczos process the OAP creates a sequence of mutually orthogonal vectors, on the basis of which the projections of the unknown vectors are easily obtained, and thus the approximations to the unknown vectors can be simply constructed by a combination of these projections. This method is an application of the accumulated projection technique proposed recently by the authors of this paper, and can be regarded as a match of conjugate gradient method(CG) in its nature since both the CG and the OAP can be regarded as iterative methods, too. Unlike the CG method which can be only used to solve linear systems with symmetric positive definite coefficient matrices, the OAP can be used to handle systems with indefinite symmetric matrices. Unlike classical Krylov subspace methods which usually ignore the issue of loss of orthogonality, OAP uses an effective approach to detect the loss of orthogonality and a restart strategy is used to handle the loss of orthogonality.Numerical experiments are presented to demonstrate the efficiency of the OAP.展开更多
The projected total energy surface(PTES)approach has been developed based on the triaxial projected shell model(TPSM)hybridized with the macroscopic–microscopic method.The total energy of an atomic nucleus is decompo...The projected total energy surface(PTES)approach has been developed based on the triaxial projected shell model(TPSM)hybridized with the macroscopic–microscopic method.The total energy of an atomic nucleus is decomposed into macroscopic,microscopic and rotational terms.The macroscopic and microscopic components are described with the liquid drop model and Strutinsky method,respectively,and the rotational energy is given by the TPSM,the term beyond the mean field.To test theory,the PTES calculations have been carried out for the yrast states of the well deformed rare earth nucleus172W,and the theoretical results are in good agreement with the experimental data.By using the equilibrium quardrupole deformations(ε2andγ)determined by the PTES,the calculation of the transition quardrupole moment(Qt)in function of spin also reproduces the experimental data.A comparison between the PTES and TRS methods has been made for theoretical and application uses.展开更多
文摘视觉测量直升机高速旋转桨叶形变常采用基于圆形标记点的测量方法,但该方法中圆形标记点具有低曝光、小目标和投影不对称等特点,极易产生标记点漏检和圆心坐标误差的问题。为减小漏检、修正圆心坐标误差,提出了一种直升机桨叶图像中圆形标记点圆心检测及修正方法。首先,提取图像中局部极值中心的像素坐标,并依据阵列排布结构滤除干扰,获得所有圆形标记点极值中心的像素坐标;其次,以各极值中心的像素坐标为圆心,与相邻极值的最小距离为直径,建立圆形ROI(region of interest)区域,在ROI区域内并行分水岭变换和最小二乘法圆拟合得到圆心;再次,采用透视变换建立该图像与垂直相机光轴的同相位桨叶图像(正面图像)的投影映射关系,再采用LM(levenberg-marquardt)优化求解投影映射矩阵;最后,将该图像转换为正面图像进行圆心检测,再将该圆心坐标逆变换得到精确圆心坐标。实验结果表明,本文检测方法准确率和精度分别达98.89%和0.191 mm,已应用于直升机高速旋转桨叶运动轨迹和形变的高精度视觉测量。
基金supported by National Natural Science Foundation of China (Grant Nos. 91430108 and 11171251)the Major Program of Tianjin University of Finance and Economics (Grant No. ZD1302)
文摘A direct as well as iterative method(called the orthogonally accumulated projection method, or the OAP for short) for solving linear system of equations with symmetric coefficient matrix is introduced in this paper. With the Lanczos process the OAP creates a sequence of mutually orthogonal vectors, on the basis of which the projections of the unknown vectors are easily obtained, and thus the approximations to the unknown vectors can be simply constructed by a combination of these projections. This method is an application of the accumulated projection technique proposed recently by the authors of this paper, and can be regarded as a match of conjugate gradient method(CG) in its nature since both the CG and the OAP can be regarded as iterative methods, too. Unlike the CG method which can be only used to solve linear systems with symmetric positive definite coefficient matrices, the OAP can be used to handle systems with indefinite symmetric matrices. Unlike classical Krylov subspace methods which usually ignore the issue of loss of orthogonality, OAP uses an effective approach to detect the loss of orthogonality and a restart strategy is used to handle the loss of orthogonality.Numerical experiments are presented to demonstrate the efficiency of the OAP.
基金supported by the National Natural Science Foundation of China (Grant Nos.11047171,11301508,11175258,11021504 and 11275068)the Knowledge Innovation Project of the Chinese Academy of Sciences (Grant No.KJCX2-SW-N02)the Key Project of Science and Technology Research of Education Ministry of China (Grant No.209053).
文摘The projected total energy surface(PTES)approach has been developed based on the triaxial projected shell model(TPSM)hybridized with the macroscopic–microscopic method.The total energy of an atomic nucleus is decomposed into macroscopic,microscopic and rotational terms.The macroscopic and microscopic components are described with the liquid drop model and Strutinsky method,respectively,and the rotational energy is given by the TPSM,the term beyond the mean field.To test theory,the PTES calculations have been carried out for the yrast states of the well deformed rare earth nucleus172W,and the theoretical results are in good agreement with the experimental data.By using the equilibrium quardrupole deformations(ε2andγ)determined by the PTES,the calculation of the transition quardrupole moment(Qt)in function of spin also reproduces the experimental data.A comparison between the PTES and TRS methods has been made for theoretical and application uses.
