📄 get_observations.m
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function [z,idf]= get_observations(x, lm, idf, rmax)
%function [z,idf]= get_observations(x, lm, idf, rmax)
%
% INPUTS:
% x - vehicle pose [x;y;phi]
% lm - set of all landmarks
% idf - index tags for each landmark
% rmax - maximum range of range-bearing sensor
%
% OUTPUTS:
% z - set of range-bearing observations
% idf - landmark index tag for each observation
%
% Tim Bailey 2004.
[lm,idf]= get_visible_landmarks(x,lm,idf,rmax);
z= compute_range_bearing(x,lm);
%
%
function [lm,idf]= get_visible_landmarks(x,lm,idf,rmax)
% Select set of landmarks that are visible within vehicle's semi-circular field-of-view
dx= lm(1,:) - x(1);
dy= lm(2,:) - x(2);
phi= x(3);
% incremental tests for bounding semi-circle
ii= find(abs(dx) < rmax & abs(dy) < rmax ... % bounding box
& (dx*cos(phi) + dy*sin(phi)) > 0 ... % bounding line
& (dx.^2 + dy.^2) < rmax^2); % bounding circle
% Note: the bounding box test is unnecessary but illustrates a possible speedup technique
% as it quickly eliminates distant points. Ordering the landmark set would make this operation
% O(logN) rather that O(N).
lm= lm(:,ii);
idf= idf(ii);
%
%
function z= compute_range_bearing(x,lm)
% Compute exact observation
dx= lm(1,:) - x(1);
dy= lm(2,:) - x(2);
phi= x(3);
z= [sqrt(dx.^2 + dy.^2);
atan2(dy,dx) - phi];
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