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1)  Rosen gradient projection method
Rosen梯度投影法
2)  projective gradient method
Rosen投影梯度法
1.
Rosen projective gradient method is used to find the approximated KKT points of relaxed problem, and then the index set is updated until the minimal solution is .
本文采用Rosen投影梯度法求此松弛问题的近似KKT点,然后更新指标集不断迭代直至得到最优解。
3)  Rosen projection
Rosen投影
1.
By using Rosen projection matrix, conditions are given on the scalars in memory gradient direction to ensrure that the memory gradient projection direction is descent.
对于求解无约束规划的记忆梯度算法中的参数,作者利用Rosen投影矩阵给出了一个条件以确定其取值范围,使其在取值范围内取值均能得到目标函数的记忆梯度Rosen投影下降方向,从而建立了求解带线性或非线性约束最优化问题的记忆梯度Rosen投影算法。
2.
In this paper, by using Rosen projection matrix, a new descent three-term memory gradient projection method for nonlinear programming with linear or nonlinear inequality constraints is presented.
利用Rosen投影矩阵,建立求解带线性或非线性不等式约束优化问题的三项记忆梯度Rosen投影下降算法,并证明了算法的收敛性。
4)  Gradient projection method
梯度投影法
1.
Rosen s gradient projection method sometimes needs to repeat calculation of its projection matrix for nonlinear programming with linear constraints.
Rosen梯度投影法提出了一种改进策略 ,使其在每一步计算中不再需要重复计算投影矩阵 ,大大减少了计算量 ,使算法更加稳定和实用。
2.
Based on the gradient projection methodand the constrained variable method,a new combined control method is proposed and the simulations for aplanar redundant manipulator with three-degree of freedom are also performed.
本文以冗余度机械手为研究对象,在梯度投影法和变量约束法的基础上给出了一种新的控制方法,即混合法。
3.
Application of gradient projection method to control of redundant robots is discussed under theframework of resolved motion rate control (RMRC).
本文讨论分解运动速度控制框架下将梯度投影法应用于冗余机器人控制的有关问题。
5)  gradient projection methods
梯度投影法
1.
In this paper,the theory of gradient projection methods for linearly constrained optimization formerly fomulated by the author is further improved.
利用广义逆矩阵的特性,改进了线性约束梯度投影法的理论。
2.
in this paper, on the basis of the theory and the methods of feasible direction algorithm formulated by the author, the expression of search direction of the gradient projection methods is given, the necessary and sufficient conditions under which the search direction is the feasible direction are suggested, and the theory of the methods of gradient projection is established.
本文应用作者(1995,1996)所建立的可行方向法的理论和方法,给出了梯度投影法的搜索方向的表达式和搜索方向是可行方向的充分必要条件;建立了梯度投影法的理论。
6)  gradient projection method
投影梯度法
补充资料:滤波反投影或卷积反投影


滤波反投影或卷积反投影


影像学术语。当代影像学设备进行影像重建的数学方法。在直接用扫描后所获得的投影轨迹剖面图反投影重建出的CT图像中,无法避免角度卷入条纹伪影(angular aliasing streaks)造成的模糊和失真。这种现象与被扫描层面的空间频率中高频信息的损失有关。使用一种精密的数学方法去除这种模糊。称为“展现”(unfolding)或去卷积(deconvolution),即在反投影前使用一种数学的“滤器”或卷积函数对原始数据进行修正,然后再进行反投影。两步数学处理过程合称为滤波(修正后)反投影或卷积(后)反投影。这种方法的优点是处理过程简单,速度快,所得图像逼真、清晰。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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