查询词典 sequence of iterations

This paper considers existence of extreme solutions to first-order differential equations with a parameter by the method of lower and upper solutions with monotone iterations,and monotonic sequence is uniformly converged to the extreme value solution of nonlinear equation after being constructed.

文章利用上下解方法和单调迭代技术讨论了含有一个参数的微分问题极值解的存在性，通过构造单调序列使这个单调序列一致收敛于非线性方程的极值解。

In this paper, the theory, algorithm, and experiment of automatic object detection and tracking are studied in depth. It is firstly pointed out that the essential of Mean Shift method is a special Newton-Gaussian method. A new method named Fast Mean Shift is established to stretch the conservative step of Mean Shift method. The convergence and validity of this new method are proved in theory. And it is also proved that the convergence speed of Fast Mean Shift is faster than that of Mean Shift. The contrast experiments of searching the maximum possibility density of random of data sets in plane and 3D space are done. The results show that this new method can reduce the iterations greatly. A new object tracking method based on Fast Mean Shift is built to improve the object tracking performance, which is shown in the face tracking experiment with the tennis sequence provided by the Ohio State University, and the car tracking experiment with the car sequence provided by Kalsruhe University. The face trcking experiment with highly noised images show that the object tracking method based on Fast Mean Shift has strong anti-jamming ability. A new fast color object detection technology based on characteristic color is established, which use characteristic color distribution to compute the characteristic color vector of any area in an image quickly. With the high performance search method, the fast object detection is achieved. At last, using object tracker based on Fast Mean Shift and color object detector based on characteristic color with the Kalman filter, PID controller, searial communication and other technologies, automatic object detection and tracking system with control system is built. The availability and anti-jamming ability of this system are verified by some object detection and tracking tests in different scenes.

本文对目标自动识别与跟踪进行了理论、计算、试验三方面的深入研究，主要包括：首次指出了目标跟踪技术中常用的均值迁移方法的本质为一种特殊的高斯-牛顿方法，改进了均值迁移方法步长取值保守的弱点，建立了快速均值迁移方法，证明了该方法的收敛性、有效性以及收敛速度优于均值迁移方法；进行了平面和3维随机分布数据集的最大概率密度搜索对比试验，试验结果表明，快速均值迁移方法大大减少了迭代次数；建立了基于快速均值迁移的目标跟踪方法，利用俄亥俄州立大学提供的乒乓球序列图像和卡斯鲁厄大学的汽车序列图像，对人脸和汽车目标跟踪性能分别进行了对比试验，并进行了高噪声人脸图像目标跟踪试验，结果表明，基于快速均值迁移的目标跟踪方法有效提高了目标跟踪性能，具有很强的抗干扰能力；建立了一种新型彩色目标自动识别方法，采用特征色彩分布函数实现了对任意图像区域特征色彩矢量的快速计算，建立了高效的搜索方法，实现了彩色目标的快速识别；将基于快速均值迁移方法的目标跟踪方法、基于特征色彩的目标识别方法与卡尔曼滤波、PID控制、串行通讯等技术结合，建立了带有控制系统的快速目标自动识别与跟踪系统，并在不同场景下进行了目标自动识别与跟踪试验，验证了快速目标自动识别与跟踪系统的有效性和抗干扰能力。

Consumers and producers react to the evolution of prices through multiple iterations of this sequence.

消费者和生产者的反应价格的变化，通过多张图片的顺序。

We prove the strong con-vergence of the methods, that is, if the methods do not terminate in finite iterations,then every limit point of the sequence generated by the methods is a stationary pointof the primal problem.

本论文证明了所给算法具有强收敛性，即若算法不是有限步终止，则算法产生的迭代序列的所有极限点都是原问题的稳定点。

Under the strict complementaritycondition at the accumalation points of the sequence of iterations, the global convergenceof the algorithm is proved.

由此建立了一种基于SQP方法的新算法，且在迭代序列的聚点满足非退化假设条件下，获得了算法的全局收敛性。

In this way,we can obtain the sequence of sub-iteration which is objectively suitable for the characters of multiple images to be encrypted. Based on this sequence,either an adjusting iteration after the whole iterations with the original sequence or completely changing the sequence of the whole iterations can be adopted.

根据这一次序，用完整迭代后附加调节性迭代的方法或者完全更换迭代次序的方法，都能够在保留基本算法快速收敛优势的前提下，使多幅解密图像质量以及系统地复用容量得以整体提高。

Besides, we also apply Unimodular Transformations technique to modify the execution sequence of iterations, which can improve the effectiveness of our proposed methods.

研制相关模拟评估环境：在本计画中我们会推导数学公式计算整体所需执行时间，用来评估各种指令排程法的效能；但是为了缩短评估所需的时间，我们也计画研制相关的模拟评估环境，让评估过程更加顺利。

Experimental results show that the proposed sequence subsets SART can provide higher quality reconstructed images that are very insensitive to noise at a small number of iterations.

实验结果表明序列子集联合代数重建技术可在少数次迭代后提供较高质量的重建图像，且对噪声数据不敏感。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。