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function rc_new = bound2four(rc)
%BOUND2FOUR Convert 8-connected boundary to 4-connected boundary.
% RC_NEW = BOUND2FOUR(RC) converts an eight-connected boundary to a
% four-connected boundary. RC is a P-by-2 matrix, each row of
% which contains the row and column coordinates of a boundary
% pixel. BOUND2FOUR inserts new boundary pixels wherever there is
% a diagonal connection.
% Copyright 2002-2004 R. C. Gonzalez, R. E. Woods, & S. L. Eddins
% Digital Image Processing Using MATLAB, Prentice-Hall, 2004
% $Revision: 1.4 $ $Date: 2003/11/21 14:20:21 $
if size(rc, 1) > 1
% Phase 1: remove diagonal turns, one at a time until they are all gone.
done = 0;
rc1 = [rc(end - 1, :); rc];
while ~done
d = diff(rc1, 1);
diagonal_locations = all(d, 2);
double_diagonals = diagonal_locations(1:end - 1) & ...
(diff(diagonal_locations, 1) == 0);
double_diagonal_idx = find(double_diagonals);
turns = any(d(double_diagonal_idx, :) ~= ...
d(double_diagonal_idx + 1, :), 2);
turns_idx = double_diagonal_idx(turns);
if isempty(turns_idx)
done = 1;
else
first_turn = turns_idx(1);
rc1(fi
...
...
... to be continued.
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