x2majoraxis.m ( File view )

  • By yueqiaohuayuan 2014-11-17
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			function [B, theta] = x2majoraxis(A, B, type)
%X2MAJORAXIS Aligns coordinate x with the major axis of a region.
%   [B2, THETA] = X2MAJORAXIS(A, B, TYPE) aligns the x-coordinate
%   axis with the major axis of a region or boundary. The y-axis is
%   perpendicular to the x-axis.  The rows of 2-by-2 matrix A are the
%   coordinates of the two end points of the major axis, in the form
%   A = [x1 y1; x2 y2]. On input, B is either a binary image (i.e.,
%   an array of class logical) containing a single region, or it is
%   an np-by-2 set of points representing a (connected) boundary. In
%   the latter case, the first column of B must represent
%   x-coordinates and the second column must represent the
%   corresponding y-coordinates. On output, B2 contains the same data
%   as the input, but aligned with the major axis. If the input is an
%   image, so is the output; similarly the output is a sequence of
%   coordinates if the input is such a sequence. Parameter THETA is
%   the initial angle between the major axis and the x-axis. The
%   origin of the xy-axis system is at the bottom left; the x-axis is
%   the horizontal axis and the y-axis is the vertical. 
%   Keep in mind that rotations can introduce round-off errors when
%   the data are converted to integer coordinates, which is a
%   requirement.  Thus, postprocessing (e.g., with bwmorph) of the
%   output may be required to reconnect a boundary.

%   Copyright 2002-2004 R. C. Gonzalez, R. E. Woods, & S. L. Eddins
%   Digital Image Processing Using MATLAB, Prentice-Hall, 2004
%   $Revision: 1.9 $  $Date: 2003/11/21 14:51:54 $

% Preliminaries.
if islogical(B)
   type = 'region';
elseif size(B, 2) == 2
   type = 'boundary';
   [M, N] = size(B);
   if M < N
      error('B is boundary. It must be of size np-by-2; np > 2.')
   % Compute centroid for later use. c is a 1-by-2 vector. 
   % Its 1st component is the mean of the boundary in the x-direction.
   % The second is the mean in the y-direction.
   c(1) = round((min(B(:, 1)) + max(B(:, 1))/2));
   c(2) = round((min(B(:, 2)) + max(B(:, 2))/2));
   % It is possible for a connected boundary to develop small breaks
   % after rotation. To prevent this, the input boundary is filled, 
   % processed as a region, and then the boundary is re-extracted. This
   % guarantees that the output will be a connected boundary.
   m = max(size(B));
   % The follo
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