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基于路径集合运算的公交网络寻径算法研究 被引量:9
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作者 伍雁鹏 彭小奇 黄同成 《计算机科学》 CSCD 北大核心 2009年第6期239-240,272,共3页
大规模多换乘网络中最短时间路径精确查询的算法是公交网络寻径问题的研究难点之一,近似搜索算法的求解满意度不高,而精确搜索算法的效率较低。提出了基于路径集合运算的公交网络寻径算法,按换乘次数从低到高依次求取路径集合,通过删除... 大规模多换乘网络中最短时间路径精确查询的算法是公交网络寻径问题的研究难点之一,近似搜索算法的求解满意度不高,而精确搜索算法的效率较低。提出了基于路径集合运算的公交网络寻径算法,按换乘次数从低到高依次求取路径集合,通过删除大量冗余路径来优化路径集合并减少计算量,最后生成最短时间路径汇总集合用于快速精确寻径。实验结果表明了算法的可行性和有效性。 展开更多
关键词 公交网络 寻径算法 多换乘 路径集合运算 最短时间路径
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基于路径形态学和正弦函数族匹配的电成像测井缝洞自动识别与分离方法研究 被引量:3
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作者 王磊 沈金松 +1 位作者 衡海亮 魏帅帅 《石油科学通报》 2021年第3期380-395,共16页
针对碳酸盐岩缝洞型含油储层,电成像测井方法可以探测得到高分辨率井壁缝洞分布图像,但由于岩性变化、井孔介质非均质性等的干扰以及裂缝间的互相缠绕、黏连使得对裂缝和溶蚀孔洞信息的有效提取仍存在较大阻碍。不完备路径开算法和容忍... 针对碳酸盐岩缝洞型含油储层,电成像测井方法可以探测得到高分辨率井壁缝洞分布图像,但由于岩性变化、井孔介质非均质性等的干扰以及裂缝间的互相缠绕、黏连使得对裂缝和溶蚀孔洞信息的有效提取仍存在较大阻碍。不完备路径开算法和容忍路径算子对直线或者轻微弯曲结构有良好的适应性,该适应性与结构元素形状的选取无关,而正弦函数族对弯曲结构的匹配度较好。文中将多尺度不完备路径形态学方法和正弦函数族、二阶矩椭圆拟合算法应用于电成像测井电导率图像的处理,提出采用不完备路径形态学算法和正弦函数族智能匹配的裂缝和溶蚀孔洞自动识别和分离方法。首先采用数学形态学中的开闭变换,消除电成像测井图像的干扰;其次,进行不完备路径形态学、密度聚类算法的公式推导和分析,并融合多方向的形态学路径算子、容忍路径算子、含噪的基于密度聚类方法追踪并提取连续或间断的弯曲线状结构;再次,对提取的弯曲线状结构进行改进的Hough变换和正弦函数族匹配,发现Hough变换仅对低角度裂缝的匹配效果较好,而正弦函数族对高角度裂缝及完整度较低的残缝有更高的精确度;还有,使用正弦函数族计算裂缝的相位、振幅和井壁的深度位置信息;最后,对于剩下的溶蚀孔洞,采用二阶矩等效椭圆函数方法进行拟合,获得了孔洞的纵横比。为验证文中提出的算法,对几个数值模型和某油田的碳酸盐岩井的电成像资料进行了处理,成功完成对缠绕的裂缝和孔洞的分离过程,验证了所提出算法的有效性和适应性,为碳酸盐岩缝洞型含油储层的精细评价提供了实用方法,有助于提高对储层缝洞分布特点的认识水平。 展开更多
关键词 电成像测井 缝洞识别与分离 不完备路径运算 正弦函数族 密度聚类 二阶矩椭圆拟合
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一类定点问题运算逻辑透析--以“直线过定点问题”为例谈高中生数学运算核心素养的培育
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作者 陈达辉 《福建教育》 2022年第7期36-39,共4页
本文以解析几何重点内容之一“直线过定点”问题为例,阐述如何在日常教学中从数学思想方法、运算逻辑和运算踏径等层面提升学生的数学运算核心素养。
关键词 数学运算核心素养 运算逻辑 运算路径
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结合路径形态学的高分遥感影像道路提取方法 被引量:5
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作者 戴激光 苗志鹏 +2 位作者 葛连茂 王晓桐 朱婷婷 《遥感信息》 CSCD 北大核心 2019年第1期28-35,共8页
随着光学遥感影像空间分辨率不断提高,车辆、阴影、标识牌等地物以及油返砂对道路提取构成更严重的干扰,路径形态学的道路提取方法虽可以有效地剔除这些干扰,但仍然存在道路粘连和阴影遮挡问题。针对上述两问题,首先采用Otsu方法对影像... 随着光学遥感影像空间分辨率不断提高,车辆、阴影、标识牌等地物以及油返砂对道路提取构成更严重的干扰,路径形态学的道路提取方法虽可以有效地剔除这些干扰,但仍然存在道路粘连和阴影遮挡问题。针对上述两问题,首先采用Otsu方法对影像进行分割得到初始道路,其次应用路径开运算得到改进道路提取结果,然后提出形态学与路径形态学结合方法以削减道路粘连,最后基于改进圆形模板跟踪模型对断裂点进行跟踪,以解决阴影遮挡造成的道路断裂问题。通过多组影像的实验对比分析表明,该方法可以明显改善高分遥感影像道路提取效果。 展开更多
关键词 道路提取 路径运算 粘连 分割 连接断裂
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解三角形中的基本问题求解策略
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作者 林娜 《数理化解题研究》 2020年第13期29-32,共4页
解三角形是高考数学的一个重要考点,解三角形中的多三角形问题,以及取值范围问题,都是难点内容.选择合理的运算路径和方法是成功解题的必要条件,同时用好基本条件、基本结论、基本关系、基本图形对解题至关重要.
关键词 合理的运算路径 基本条件 基本结论 基本关系 基本图形
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一种顾及形状特征的遥感图像道路提取方法 被引量:6
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作者 裔阳 周绍光 +1 位作者 刘文静 赵鹏飞 《地理空间信息》 2017年第4期47-50,共4页
依照单类分类和主动学习的基本原理,利用光谱信息和道路几何信息共同实现道路提取。首先人工标记部分道路与非道路样本,用SVDD训练筛选出初始道路与非道路样本点代入SVM得到初始分类图,路径开运算处理之后进行直线匹配获取二值道路图。... 依照单类分类和主动学习的基本原理,利用光谱信息和道路几何信息共同实现道路提取。首先人工标记部分道路与非道路样本,用SVDD训练筛选出初始道路与非道路样本点代入SVM得到初始分类图,路径开运算处理之后进行直线匹配获取二值道路图。接下来是一个主动学习过程,根据样本点离超平面的距离及与二值道路图的匹配结果选取最终样本。将留下的样本点代入SVM中并赋以一定权值迭代训练,迭代固定次数之后选取正确率最高的SVM模型。最后利用路径开运算处理获取初始道路,经过形态学后处理得到最终的道路。实验结果表明,该方法可以有效地从高光谱遥感影像中提取道路。 展开更多
关键词 支持向量数据描述 支持向量机 道路提取 路径运算 主动学习
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图的路径运算矩阵与哈密顿回路等路径问题 被引量:4
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作者 高遵海 陈倬 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2021年第2期32-36,共5页
从简单图的邻接矩阵定义了初始路径运算矩阵和一般路径运算矩阵,并定义了一般路径运算矩阵的加法和乘法运算,通过这些运算可以直接求简单图的最长路、最短路、任意两点之间的通路及具有长度约束的路径问题,还可以检测简单图哈密顿回路... 从简单图的邻接矩阵定义了初始路径运算矩阵和一般路径运算矩阵,并定义了一般路径运算矩阵的加法和乘法运算,通过这些运算可以直接求简单图的最长路、最短路、任意两点之间的通路及具有长度约束的路径问题,还可以检测简单图哈密顿回路及计算所有哈密顿回路,结果都显示在最后的路径运算矩阵上。证明了一般路径运算矩阵的幂长公式并得到了简单图存在哈密顿回路的充要条件,分析了矩阵乘法运算的总时间复杂度,结果表明本算法比其他同类方法计算量大大减少,为图论相关路径问题研究提供了一个新的研究方法。 展开更多
关键词 路径运算矩阵 简单图 最长路 最短路 哈密顿回路
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Path Planning of the Multiple Mobile Robot System Applied in Chinese Chess Game 被引量:1
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作者 Jr-Hong Guo Kuo-Lan Su Sheng-Ven Shiau 《Journal of Mechanics Engineering and Automation》 2011年第3期217-226,共10页
The article presents the path planning algorithm to be applied in the Chinese chess game, and uses multiple mobile robots to present the experimental scenario. Users play the Chinese chess game using the mouse on the ... The article presents the path planning algorithm to be applied in the Chinese chess game, and uses multiple mobile robots to present the experimental scenario. Users play the Chinese chess game using the mouse on the supervised computer. The supervised computer programs the motion paths using A* searching algorithm, and controls mobile robots moving on the grid based chessboard platform via wireless radio frequency (RF) interface. The A* searching algorithm solves shortest path problems of mobile robots from the start point to the target point, and avoids the obstacles on the chessboard platform. The supervised computer calculates the total time to play the game, and computes the residual time to play chess in the step for each player. The simulation results can fired out the shortest motion paths of the mobile robots (chesses) moving to target points from start points in the monitor, and decides the motion path to be existence or not. The eaten chess can moves to the assigned position, and uses the A* searching algorithm to program the motion path, too. Finally, the authors implement the simulation results on the chessboard platform using mobile robots. Users can play the Chinese chess game on the supervised computer according to the Chinese chess game rule, and play each step of the game in the assigned time. The supervised computer can suggests which player don't obey the rules of the game, and decides which player to be a winner. The scenario of the Chinese chess game feedback to the user interface using the image system. 展开更多
关键词 Path planning Chinese chess game multiple mobile robots A* searching algorithm wireless RF (radio frequency) interface.
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Multi-path planning algorithm based on fitness sharing and species evolution
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作者 ZHANG Jing-juan, LI Xue-lian, HAO Yan-ling College of Automation, Harbin Engineering University, Harbin 150001, China 《Journal of Marine Science and Application》 2003年第1期60-65,共6页
A new algorithm is proposed for underwater vehicles multi-path planning. This algorithm is based on fitness sharing genetic algorithm, clustering and evolution of multiple populations, which can keep the diversity of ... A new algorithm is proposed for underwater vehicles multi-path planning. This algorithm is based on fitness sharing genetic algorithm, clustering and evolution of multiple populations, which can keep the diversity of the solution path, and decrease the operating time because of the independent evolution of each subpopulation. The multi-path planning algorithm is demonstrated by a number of two-dimensional path planning problems. The results show that the multi-path planning algorithm has the following characteristics: high searching capability, rapid convergence and high reliability. 展开更多
关键词 genetic algorithm subpopulation evolution fitness sharing multi-path planning
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Pattern Formation Control Using QR-Code for Mobile Robots
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作者 Kuo-Lan Su Jr-Hung Guo Bo-Yi Li 《Journal of Mechanics Engineering and Automation》 2012年第10期594-600,共7页
The article presents multi-pattern formation exchange of mobile robots according to the image signals, programs motion paths using A* searching algorithm, and avoids the collision points of motion paths. The system c... The article presents multi-pattern formation exchange of mobile robots according to the image signals, programs motion paths using A* searching algorithm, and avoids the collision points of motion paths. The system contains an image system, a grid based motion platform, some wireless Radio Frequency (RF) modules and five mobile robots. We use image recognition algorithm to classify variety pattern formation according to variety Quick Response (QR) code symbols on the user interface of the supervised computer. The supervised computer controls five mobile robots to execute formation exchange and presents the movement scenario on the grid based motion platform. We have been developed some pattern formations according to game applications, such as long snake pattern formation, phalanx pattern formation, crane wing pattern formation, sword pattern formation, cone pattern formation, sward pattern tbrmation, T pattern formation, rectangle pattern formation and so on. We develop the user interface of the multi-robot system to program motion paths for variety pattern formation exchange according to the minimum displacement. In the experimental results, the supervised computer recognizes the various QR-code symbols using image system and decides which pattern formation to be selected on real-time. Mobile robots can receive the pattern formation command from the supervised computer, present the movement scenario from the original pattern formation to the assigned pattern formation on the motion platform, and avoid other mobile robots on real-time. 展开更多
关键词 Multi-pattern formation exchange A* searching algorithm snake pattern formation wireless RF (radio frequency)interface.
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Fast wire segmenting algorithm considering layout density and signal integrity
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作者 马鸿 Ho Chingyen Peng Silong 《High Technology Letters》 EI CAS 2009年第4期416-422,共7页
A k-shortest path based algorithm considering layout density and signal integrity for good buffer candidatelocations is proposed in this paper. Theoretical results for computing the maximal distance betweenbuffers are... A k-shortest path based algorithm considering layout density and signal integrity for good buffer candidatelocations is proposed in this paper. Theoretical results for computing the maximal distance betweenbuffers are derived under the timing, noise and slew rate constraints. By modifying the traditional uniformwire segmenting strategy and considering the impact of tile size on density penalty function, this work proposesk-shortest path algorithm to find the buffer insertion candidate locations. The experiments show thatthe buffers inserted can significantly optimize the design density, alleviate signal degradation, save thenumber of buffers inserted and the overall run time. 展开更多
关键词 candidate location buffer insertion layout density slew noise
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且行且思 简化运算 提升素养——一道解析几何题评讲的所想所思 被引量:2
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作者 石鹏 《中学数学教学参考》 2020年第34期28-31,共4页
由一道解析几何题出发,通过不同的解法,阐述如何理解运算对象、探究运算路径、简化运算过程、监控运算关键点、调整运算方向等,最终落实到如何提升学生的运算素养。
关键词 数学运算 运算路径 运算素养
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电力系统综合节能的有功与无功功率协调优化策略
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作者 鞠文杰 张凡 +1 位作者 孙爱民 王志梁 《科学中国人》 2016年第1X期17-,共1页
随着科学技术的不断进步,在电力系统中,新技术、新工艺得到了应用,使得电力系统得到了优化,特别是在有功余无功功率方面进行协调优化,不仅能够起到节能减排的作用,而且还能够节约发电成本。本文就电力系统综合节能的有功与无功功率协调... 随着科学技术的不断进步,在电力系统中,新技术、新工艺得到了应用,使得电力系统得到了优化,特别是在有功余无功功率方面进行协调优化,不仅能够起到节能减排的作用,而且还能够节约发电成本。本文就电力系统综合节能的有功与无功功率协调优化策略进行研究,通过对有功与无功优化的研究现状、优化协调模型运算路径以及优化协调建模中的梯度法进行分析,从而来寻求有功与无功协调优化的策略。 展开更多
关键词 有功 无功 运算路径 梯度法
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Path planning of a free-floating space robot based on the degree of controllability 被引量:2
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作者 HUANG XingHong JIA YingHong XU ShiJie 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2017年第2期251-263,共13页
An effective and more efficient path planning algorithm is developed for a kinematically non-redundant free-floating space robot(FFSR) system by proposing a concept of degree of controllability(DOC) for underactuated ... An effective and more efficient path planning algorithm is developed for a kinematically non-redundant free-floating space robot(FFSR) system by proposing a concept of degree of controllability(DOC) for underactuated systems. The DOC concept is proposed for making full use of the internal couplings and then achieving a better control effect, followed by a certain definition of controllability measurement which measures the DOC, based on obtaining an explicit and finite equivalent affine system and singular value decomposition. A simple method for nilpotent approximation of the Lie algebra generated by the FFSR system is put forward by direct Taylor expansion when obtaining the equivalent system. Afterwards, a large-controlla- bility-measurement(LCM) nominal path is searched by a weighted A* algorithm, and an optimal self-correcting method is designed to track the nominal path approximately, yielding an efficient underactuated path. The proposed strategy successfully avoids the drawback of inefficiency inherent in previous path-planning schemes, which is due to the neglect of internal couplings, and illustrative numerical examples show its efficacy. 展开更多
关键词 free-floating space robot(FFSR) underactuated system path planning degree of controllability controllability measurement nilpotent approximation weighted A* algorithm optimal self-correcting method
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Kinematic mechanism and path planning of the Essboard 被引量:1
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作者 SU BaiQuan WANG TianMiao +1 位作者 WANG JunChen KUANG ShaoLong 《Science China(Technological Sciences)》 SCIE EI CAS 2013年第6期1499-1516,共18页
In this paper, we study the kinematic mechanism and path planning for a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboard. Different from the most studied Snakeboard, the Essboard ... In this paper, we study the kinematic mechanism and path planning for a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboard. Different from the most studied Snakeboard, the Essboard consists of a torsion bar and two platforms, each of which contains a pedal and a caster. We first investigate the relationship between the tilt angles of the pedals and the wheel directions of the casters. This relationship reveals how to control the wheel directions by adjusting the tilt angles. Next, the rotational radius of the Essboard is derived for a given pair of tilt angles of both pedals. The rotational radius of the Essboard is much different than that of the Snakeboard. Then we develop a path-planning algorithm for the Essboard to move from a start position to the goal, using a series of consecutively connected arcs, which are tangent to each other at the connected points. It is shown from a kinematic point of view that the path planning of the Essboard can be solved by a series of pairs of pedals' tilt angles. Three experiments are conducted to confirm the correctness of the main results. The results in this paper are a foundation for further study of the Essboard. 展开更多
关键词 mobile robot path planning nonholonomic system rolling motion point-to-point maneuver
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VARIABLE FEEDRATE INTERPOLATION OF NURBS TOOLPATH WITH GEOMETRIC AND KINEMATICAL CONSTRAINTS FOR FIVE-AXIS CNC MACHINING 被引量:1
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作者 SUN Yuwen ZHOU Jianfeng GUO Dongming 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2013年第5期757-776,共20页
Variable feedrate interpolation algorithms for five-axis parametric toolpath are very promising but still rather limited currently.In this paper,an off-line feedrate scheduling method of dual NURBS curve is presented ... Variable feedrate interpolation algorithms for five-axis parametric toolpath are very promising but still rather limited currently.In this paper,an off-line feedrate scheduling method of dual NURBS curve is presented with geometric and kinematical constraints.For a given dual parametric curve,the feedrates of sampling points are first scheduled sequent with confined feedrate of cutter tip and machine pivot,chord error,normal acceleration and angular feedrate.Then,the feedrate profiles of angular feed acceleration sensitive regions of the path are adjusted using a bi-directional scanning algorithm.After that,a linear programming method is used to adjust the feedrate profiles of linear feed acceleration sensitive regions and control the linear feed acceleration of both cutter tip and machine pivot within preset values.Further,a NURBS curve is used to fit the feedrates of sampling points.Finally,illustrative examples are carried out to validate the feasibility of the proposed feedrate scheduling method.The results show that the proposed method has the ability of effectively controlling the angular feed characters of cutter axis as well as the chord error and linear feed characters of cutter tip and machine pivot,and it has potential to be used in high accuracy and high quality five-axis machining. 展开更多
关键词 Feedrate interpolation five-axis machining NURBS tool path.
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