📄 hnormalise.m
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% HNORMALISE - Normalises array of homogeneous coordinates to a scale of 1
%
% Usage: nx = hnormalise(x)
%
% Argument:
% x - an Nxnpts array of homogeneous coordinates.
%
% Returns:
% nx - an Nxnpts array of homogeneous coordinates rescaled so
% that the scale values nx(N,:) are all 1.
%
% Note that any homogeneous coordinates at infinity (having a scale value of
% 0) are left unchanged.
% Peter Kovesi
% School of Computer Science & Software Engineering
% The University of Western Australia
% pk at csse uwa edu au
% http://www.csse.uwa.edu.au/~pk
%
% February 2004
function nx = hnormalise(x)
[rows,npts] = size(x);
nx = x;
% Find the indices of the points that are not at infinity
finiteind = find(abs(x(rows,:)) > eps);
if length(finiteind) ~= npts
warning('Some points are at infinity');
end
% Normalise points not at infinity
for r = 1:rows-1
nx(r,finiteind) = x(r,finiteind)./x(rows,finiteind);
end
nx(rows,finiteind) = 1;
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