【二维路径规划】基于Breadth First Search (BFS) 实现二维路径规划附matlab代码

该博客介绍了一种Matlab实现的路径规划预处理算法,通过半平面方法确定障碍物空间,并为给定工作空间生成允许坐标。算法遍历工作空间,通过不等式判断每个点是否在障碍物内或边界上,标记结果用于后续的节点扩展。适用于机器人路径规划问题。

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1 简介

2 部分代码

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% This function takes Obstacle edge coordinates, Workspace dimentions and% generates a arena (Work Space) that is pre-processed for the allowed % Coordinates. For each point in the Work Space dimentions, it checks % wether it lies in Obstacle Space or in the Work Space.% % The obstacle space is determined using Half plane Method. % We define equation of lines of each obstacle and use inequality to find% weather the query point satiesfies all the inequalities or not. If it% does then it lies inside or on the boundary of obstacle. If it is inside% or on obstacle, it will be assigned a value of 1, otherwise 0. %  The result of this function is a Pre-Processed Work Space.% % Then the main Program will expland only the nodes with value 0.%% Code By: Mayank Pathak%     %%%%function [Arena] = ObstacleSpace_generator(Orectangle,Opolygon,Ocircle,Arena)                                                    for i = 1:size(Arena,1)        % iterate about x axis    for j = 1:size(Arena,2)    % iterate about y axis        q_x = j;        q_y = i;        %   Implementing inequality for rectangle        if (ge(q_x,Orectangle(1,1)) && le(q_x,Orectangle(1,3)) &&...           ge(q_y,Orectangle(2,1)) && le(q_y,Orectangle(2,3)))             Arena(i,j) = 1;%   Implementing inequality for Circle        elseif le(sqrt((q_x-Ocircle(1))^2 + (q_y-Ocircle(2))^2),15)             Arena(i,j) = 1;        end%   Implementing inequality for polygon        [In,On] = inpolygon(q_x,q_y,Opolygon(1,:),Opolygon(2,:));               if In || On            Arena(i,j) = 1;        end    endendend

3 仿真结果

4 参考文献

[1]金何. 基于BFS算法的三维动态环境下机器人路径规划[D]. 河南大学.

博主简介:擅长智能优化算法、神经网络预测、信号处理、元胞自动机、图像处理、路径规划、无人机等多种领域的Matlab仿真,相关matlab代码问题可私信交流。

部分理论引用网络文献,若有侵权联系博主删除。

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