The constrained global optimization problem being considered, a modified integral_level set method was illustrated based on Chew_Zheng's paper on Integral Global Optimization and (Wu's) paper on Implementable ...The constrained global optimization problem being considered, a modified integral_level set method was illustrated based on Chew_Zheng's paper on Integral Global Optimization and (Wu's) paper on Implementable Algorithm Convergence of Modified Integral_Level Set Method for Global Optimization Problem. It has two characters: 1) Each phase must construct a new function which has the same global optimal value as that of primitive objective function; 2) Comparing it with (Zheng's) method, solving level set procedure is avoided. An implementable algorithm also is given and it is proved that this algorithm is convergent.展开更多
Rotational Vision System(RVS)is a common active vision system with only rotational degrees of freedom.Usually,the degree of freedom for rotation is provided by the turntable and pan head.Or the hand to eye(EIH)structu...Rotational Vision System(RVS)is a common active vision system with only rotational degrees of freedom.Usually,the degree of freedom for rotation is provided by the turntable and pan head.Or the hand to eye(EIH)structure in articulated arm robots.Due to assembly deviations and manufacturing accuracy limitations,the ideal assumption that the rotation axis is fully aligned with the coordinate axis of the local camera is mostly violated.To address this issue,we propose a generalized deviation model that specifies a rotation axis that connects the rotational motion of the platform with the external orientation(EO)of the camera.On this basis,we propose a heuristic estimation algorithm to minimize global reprojection errors and fit circles in space under constraints of global optimization.The experiment shows that the translation and tilt average reprojection errors of dynamic EO reconstruction based on the reprojection error method are 0.14 and 0.08 pixels,respectively.In the absence of angle measurement,the results of the circle fitting method are similar to them(with a relative error of about 2%),meeting the application requirements of general visual measurement.展开更多
文摘The constrained global optimization problem being considered, a modified integral_level set method was illustrated based on Chew_Zheng's paper on Integral Global Optimization and (Wu's) paper on Implementable Algorithm Convergence of Modified Integral_Level Set Method for Global Optimization Problem. It has two characters: 1) Each phase must construct a new function which has the same global optimal value as that of primitive objective function; 2) Comparing it with (Zheng's) method, solving level set procedure is avoided. An implementable algorithm also is given and it is proved that this algorithm is convergent.
基金support of the National Natural Science Foundation of China(No.52175504 and 51927811)the Fundamental Research Funds for the Central Universities of China(No.PA2022GDSK0074)the National Key Research and Development Program of China(No.2022CSJGG1303)
文摘Rotational Vision System(RVS)is a common active vision system with only rotational degrees of freedom.Usually,the degree of freedom for rotation is provided by the turntable and pan head.Or the hand to eye(EIH)structure in articulated arm robots.Due to assembly deviations and manufacturing accuracy limitations,the ideal assumption that the rotation axis is fully aligned with the coordinate axis of the local camera is mostly violated.To address this issue,we propose a generalized deviation model that specifies a rotation axis that connects the rotational motion of the platform with the external orientation(EO)of the camera.On this basis,we propose a heuristic estimation algorithm to minimize global reprojection errors and fit circles in space under constraints of global optimization.The experiment shows that the translation and tilt average reprojection errors of dynamic EO reconstruction based on the reprojection error method are 0.14 and 0.08 pixels,respectively.In the absence of angle measurement,the results of the circle fitting method are similar to them(with a relative error of about 2%),meeting the application requirements of general visual measurement.
