📄 torr_errf_nl_2.m
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% By Philip Torr 2002
% copyright Microsoft Corp.
%
% %designed for the good of the world by Philip Torr based on ideas contained in
% copyright Philip Torr and Microsoft Corp 2002
%
%returns the first order approx to the reprojection error as defined in:
%
% @phdthesis{Torr:thesis,
% author="Torr, P. H. S.",
% title="Outlier Detection and Motion Segmentation",
% school=" Dept. of Engineering Science, University of Oxford",
% year=1995}
%
%
%
% @article{Torr97c,
% author="Torr, P. H. S. and Murray, D. W. ",
% title="The Development and Comparison of Robust Methods for Estimating the Fundamental Matrix",
% journal="IJCV",
% volume = 24,
% % number = 3,
% % pages = {271--300},
% % year=1997
%
% %the F matrix is defined like:
% % (nx2, ny2, m3) f(1 2 3) nx1
% % (4 5 6) ny1
% % (7 8 9) m3
%
% %returns the square of the error
%
% %this one does a non linear estimate of the exact point location!
%
%
% function [e, cx1,cy1,cx2,cy2] = torr_errf_nl_2(f, nx1,ny1,nx2,ny2, no_matches, m3)
% %disp('estimating squared errors on f')
% f = f /norm(f);
%
% for (i = 1:no_matches)
% [cx1(i,1),cy1(i,1),cx2(i,1),cy2(i,1), e(i,1)] = torr_correct_point(f, nx1(i),ny1(i),nx2(i),ny2(i), m3);
% end
%
%
% function [cx1,cy1,cx2,cy2, sq_err] = torr_correct_point(f, nx1,ny1,nx2,ny2, m3)
%
%
% options = optimset('Display','off');
% init_point = [nx1,ny1,ny2];
%
% [est_point, sq_err] = fminsearch('torr_f_reprojection_error', init_point, options, nx1,ny1,nx2,ny2,f, m3);
%
% cx1 = est_point(1);
% cy1 = est_point(2);
% cy2 = est_point(3);
% cx2 = -(f(4) * cx1* cy2 + f(5) * cy1* cy2+ f(6) * m3* cy2 + f(7) * cx1* m3+ f(8) * cy1* m3+ f(9) * m3* m3);
% cx2 = cx2 / ( f(1) * cx1 + f(2)* cy1 + f(3) * m3 );
%
%
%
%
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