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astart.m
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astart.m
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% ? Rahul Kala, IIIT Allahabad, Creative Commons Attribution-ShareAlike 4.0 International License.
% The use of this code, its parts and all the materials in the text; creation of derivatives and their publication; and sharing the code publically is permitted without permission.
% Please cite the work in all materials as: R. Kala (2014) Code for Robot Path Planning using Rapidly-exploring Random Trees, Indian Institute of Information Technology Allahabad, Available at: http://rkala.in/codes.html
% clear;
close all;
map=imbinarize(imread('map1.bmp')); % input map read from a bmp file. for new maps write the file name here
source=[10 10]; % source position in Y, X format
goal=[490 490]; % goal position in Y, X format
stepsize=20; % size of each step of the RRT
disTh=20; % nodes closer than this threshold are taken as almost the same
maxFailedAttempts = 10000;
display=true; % display of RRT
%%%%% parameters end here %%%%%
if ~feasiblePoint(source,map), error('source lies on an obstacle or outside map'); end
if ~feasiblePoint(goal,map), error('goal lies on an obstacle or outside map'); end
if display, imshow(map);rectangle('position',[1 1 size(map)-1],'edgecolor','k'); end
RRTree=double([source -1]); % RRT rooted at the source, representation node and parent index
failedAttempts=0;
counter=0;
pathFound=false;
tic;hold on;
scatter(10,10,50,[1 0 0],'filled');
scatter(490,490,50,[0 1 0],'filled');
while failedAttempts<=maxFailedAttempts % loop to grow RRTs
if rand < 0.5
sample=rand(1,2) .* size(map); % random sample
else
sample=goal; % sample taken as goal to bias tree generation to goal
end
[A, I]=min(distanceCost(RRTree(:,1:2),sample) ,[],1);
% A 是距离sample最近的节点距离,I是其索引,find closest as per the function in the metric node to the sample
closestNode = RRTree(I(1),1:2);
theta=atan2(sample(1)-closestNode(1),sample(2)-closestNode(2)); % direction to extend sample to produce new node
newPoint = double(int32(closestNode(1:2) + stepsize * [sin(theta) cos(theta)]));
if ~checkPath(closestNode(1:2), newPoint, map) % if extension of closest node in tree to the new point is feasible
failedAttempts=failedAttempts+1;
continue;
end
if distanceCost(newPoint,goal)<disTh, pathFound=true;break; end % goal reached
[A, I2]=min(distanceCost(RRTree(:,1:2),newPoint),[],1);
% check if new node is not already pre-existing in the tree
if distanceCost(newPoint,RRTree(I2(1),1:2))<disTh, failedAttempts=failedAttempts+1;continue; end
RRTree=[RRTree;newPoint I2(1)]; % add node
scatter(newPoint(2),newPoint(1),20,[1 0 1],'filled');
failedAttempts=0;
if display
line([closestNode(2);newPoint(2)],[closestNode(1);newPoint(1)]);
counter=counter+1;M(counter)=getframe;
end
end
t=toc;
if display && pathFound
line([closestNode(2);goal(2)],[closestNode(1);goal(1)]);
counter=counter+1;M(counter)=getframe;
end
if display
disp('click/press any key');
% waitforbuttonpress;
end
if ~pathFound, error('no path found. maximum attempts reached'); end
path=[goal];
prev=I(1);
while prev>0
path=[RRTree(prev,1:2);path];
prev=RRTree(prev,3);
end
pathLength=0;
for i=1:length(path)-1, pathLength=pathLength+distanceCost(path(i,1:2),path(i+1,1:2)); end
fprintf('processing time=%d \nPath Length=%d \n\n', t,pathLength);
% imshow(map);rectangle('position',[1 1 size(map)-1],'edgecolor','k');
line(path(:,2),path(:,1),'LineWidth',2.5,'Color',[0 1 0]);hold on;
counter=counter+1;M(counter)=getframe;
%% 制作gif
[~,num]=size(M);
for i=1:num
A=M(i).cdata;
[I,map]=rgb2ind(A,256);
if(i==1)
imwrite(I,map,'movefig.gif','DelayTime',0.001,'LoopCount',Inf)
else if(i<num)
imwrite(I,map,'movefig.gif','WriteMode','append','DelayTime',0.001)
else
imwrite(I,map,'movefig.gif','WriteMode','append','DelayTime',2)
end
end
end