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RegionFeature.m
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RegionFeature.m
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%RegionFeature Region feature class
%
% This class represents a region feature.
%
% Methods::
% boundary Return the boundary as a list
% box Return the bounding box
% plot Plot the centroid
% plot_boundary Plot the boundary
% plot_box Plot the bounding box
% plot_ellipse Plot the equivalent ellipse
% display Display value
% char Convert value to string
% pick Return the index of the blob that is clicked
%
% Properties::
% uc* centroid, horizontal coordinate
% vc* centroid, vertical coordinate
% p centroid (uc, vc)
% umin bounding box, minimum horizontal coordinate
% umax bounding box, maximum horizontal coordinate
% vmin bounding box, minimum vertical coordinate
% vmax bounding box, maximum vertical coordinate
% area* the number of pixels
% class* the value of the pixels forming this region
% label* the label assigned to this region
% children a list of indices of features that are children of this feature
% edgepoint coordinate of a point on the perimeter
% edge a list of edge points 2xN matrix
% perimeter* edge length (pixels)
% touch* true if region touches edge of the image
% a major axis length of equivalent ellipse
% b minor axis length of equivalent ellipse
% theta* angle of major ellipse axis to horizontal axis
% aspect* aspect ratio b/a (always <= 1.0)
% circularity* 1 for a circle, less for other shapes
% moments a structure containing moments of order 0 to 2
% bbox* the bounding box, 2x2 matrix [umin umax; vmin vmax]
% bboxarea* bounding box area
% Note::
% - Properties indicated with a * can be determined for a vector of RegionFeatures
% and the result will be a vector of those properties (not a list) with elements
% corresponding to the original vector of RegionFeatures.
% - RegionFeature is a reference object.
% - RegionFeature objects can be used in vectors and arrays
% - This class behaves differently to LineFeature and PointFeature when
% getting properties of a vector of RegionFeature objects. For example
% R.u_ will be a list not a vector.
%
% See also IBLOBS, IMOMENTS.
% TODO:
% make property of object vector like Line/PointFeature
% Copyright (C) 1993-2011, by Peter I. Corke
%
% This file is part of The Machine Vision Toolbox for Matlab (MVTB).
%
% MVTB is free software: you can redistribute it and/or modify
% it under the terms of the GNU Lesser General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% MVTB is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU Lesser General Public License for more details.
%
% You should have received a copy of the GNU Leser General Public License
% along with MVTB. If not, see <http://www.gnu.org/licenses/>.
classdef RegionFeature < handle
properties
area_
uc_ % centroid
vc_
umin_ % the bounding box
umax_
vmin_
vmax_
class_ % the class of the pixel in the original image
label_ % the label assigned to this region
parent % the label of this region's parent
children % a list of features that are children of this feature
edgepoint % (x,y) of a point on the perimeter
edge % list of edge points
perimeter_ % length of edge
touch_ % 0 if it doesnt touch the edge, 1 if it does
% equivalent ellipse parameters
a_ % the major axis length
b_ % the minor axis length b<a
theta_ % angle of major axis with respect to horizontal
aspect_ % b/a < 1.0
circularity_
moments % moments, a struct of: m00, m01, m10, m02, m20, m11
end
properties (Dependent=true)
bbox_ % bounding box
bboxarea_ % bounding box area
end
methods
function b = RegionFeature(b)
%RegionFeature.RegionFeature Create a region feature object
%
% R = RegionFeature() is a region feature object with null parameters.
b.area_ = [];
b.label_ = [];
b.edge = [];
end
function display(b)
%RegionFeature.display Display value
%
% R.display() is a compact string representation of the region feature.
% If R is a vector then the elements are printed one per line.
%
% Notes::
% - this method is invoked implicitly at the command line when the result
% of an expression is a RegionFeature object and the command has no trailing
% semicolon.
%
% See also RegionFeature.char.
loose = strcmp( get(0, 'FormatSpacing'), 'loose');
if loose
disp(' ');
end
disp([inputname(1), ' = '])
if loose
disp(' ');
end
disp(char(b))
if loose
disp(' ');
end
end
function ss = char(b)
%RegionFeature.char Convert to string
%
% S = R.char() is a compact string representation of the region feature.
% If R is a vector then the string has multiple lines, one per element.
ss = '';
for i=1:length(b)
bi = b(i);
if isempty(bi.area_)
s = '[]';
elseif isempty(bi.label)
s = sprintf('area=%d, cent=(%.1f,%.1f), theta=%.2f, b/a=%.3f', ...
bi.area_, bi.uc_, bi.vc_, bi.theta_, bi.aspect_);
elseif ~isempty(bi.edge)
s = sprintf('(%d) area=%d, cent=(%.1f,%.1f), theta=%.2f, b/a=%.3f, class=%d, label=%d, touch=%d, parent=%d, perim=%.1f, circ=%.3f', ...
i, bi.area_, bi.uc_, bi.vc_, bi.theta_, bi.aspect_, bi.class_, bi.label_, ...
bi.touch_, bi.parent, bi.perimeter_, bi.circularity_);
else
s = sprintf('(%d) area=%d, cent=(%.1f,%.1f), theta=%.2f, b/a=%.3f, color=%d, label=%d, touch=%d, parent=%d', ...
i, bi.area_, bi.uc_, bi.vc_, bi.theta_, bi.aspect_, bi.class_, bi.label_, ...
bi.touch_, bi.parent);
end
ss = strvcat(ss, s);
end
end
function b = box(bb)
%RegionFeature.box Return bounding box
%
% B = R.box() is the bounding box in standard Toolbox form [xmin,xmax; ymin, ymax].
b = [bb.umin_ bb.umax_; bb.vmin_ bb.vmax_];
end
function plot_boundary(bb, varargin)
%RegionFeature.plot_boundary Plot boundary
%
% R.plot_boundary() overlay perimeter points on current plot.
%
% R.plot_boundary(LS) as above but the optional line style arguments LS are
% passed to plot.
%
% Notes::
% - If R is a vector then each element is plotted.
%
% See also BOUNDMATCH.
holdon = ishold;
hold on
for b=bb
if isempty(b.edge)
error('edge has not been computed for this blob');
end
plot(b.edge(1,:), b.edge(2,:), varargin{:});
end
if ~holdon
hold off
end
end
function plot(bb, varargin)
%RegionFeature.plot Plot centroid
%
% R.plot() overlay the centroid on current plot. It is indicated with
% overlaid o- and x-markers.
%
% R.plot(LS) as above but the optional line style arguments LS are
% passed to plot.
%
% If R is a vector then each element is plotted.
holdon = ishold;
hold on
for b=bb
%% TODO: mark with x and o, dont use markfeatures
%markfeatures([b.uc_ b.uc_], 0, varargin{:});
if isempty(varargin)
plot(b.uc_, b.vc_, 'go');
plot(b.uc_, b.vc_, 'gx');
else
plot(b.uc_, b.vc_, varargin{:})
end
end
if ~holdon
hold off
end
end
function plot_box(bb, varargin)
%RegionFeature.plot_box Plot bounding box
%
% R.plot_box() overlay the the bounding box of the region on current plot.
%
% R.plot_box(LS) as above but the optional line style arguments LS are
% passed to plot.
%
% If R is a vector then each element is plotted.
for b=bb
plot_box(b.umin_, b.vmin_, b.umax_, b.vmax_, varargin{:});
end
end
function plot_ellipse(bb, varargin)
%RegionFeature.plot_ellipse Plot equivalent ellipse
%
% R.plot_ellipse() overlay the the equivalent ellipse of the region on current plot.
%
% R.plot_ellipse(LS) as above but the optional line style arguments LS are
% passed to plot.
%
% If R is a vector then each element is plotted.
for b=bb
J = [b.moments.u20 b.moments.u11; b.moments.u11 b.moments.u02];
plot_ellipse(4*J/b.moments.m00, [b.uc_, b.vc_], varargin{:});
end
end
function plot_centroid(bb, ls)
if nargin == 1
plot_point(bb.p,'ko'); plot_point(bb.p, 'kx');
else
plot_point(bb.p, ls);
end
end
function t = contains(f, coord)
%RegionFeature.contains Test if coordinate is contained within region bounding box
%
% R.contains(coord) true if the coordinate COORD lies within the bounding box
% of the region feature R. If R is a vector, return a vector of logical
% values, one per input region.
%
u = coord(1);
v = coord(2);
t = zeros(1,length(f));
for i=1:length(f)
box = f(i).bbox_();
t(i) = u>= box(1,1) && u<=box(1,2) && v>=box(2,1) && v<=box(2,2);
end
end
function sel = pick(f)
%RegionFeature.pick Select blob from mouse click
%
% I = R.pick() is the index of the region feature within the vector of
% RegionFeatures R to which the clicked point corresponds. Since regions
% can overlap of be contained in other regions, the region with the
% smallest area of bounding box that contains the selected point is
% returned.
%
% See also GINPUT, RegionFeature.inbox.
[u,v] = ginput(1);
ind = [];
areas = [];
for i=1:length(f)
blob = f(i);
if blob.contains([u,v])
ind = [ind i];
areas = [areas blob.bboxarea];
end
end
[~,k] = min(areas);
sel = ind(k);
end
function [ri,thi] = boundary(fv, varargin)
%RegionFeature.boundary Boundary in polar form
%
% [D,TH] = R.boundary() is a polar representation of the boundary with
% respect to the centroid. D(i) and TH(i) are the distance to the boundary
% point and the angle respectively. These vectors have 400 elements
% irrespective of region size.
ri = []; thi = [];
assert(~isempty(fv(1).edge), 'No edge points -- use the ''boundary'' option');
for f = fv
dxy = bsxfun(@minus, f.edge, [f.uc_ f.vc_]');
r = colnorm(dxy)';
th = -atan2(dxy(2,:), dxy(1,:));
s = linspace(1, length(r), 400)';
ri = [ri interp1(1:length(r), r, s, 'spline')];
if nargout > 1
thi = [thi interp1(1:length(th), th, s, 'spline')];
end
end
end
function bb = get.bbox_(f)
bb = [f.umin_ f.umax_; f.vmin_ f.vmax_];
end
function a = get.bboxarea_(f)
a = (f.umax_-f.umin_)*(f.vmax_-f.vmin_);
end
% methods to provide convenient access to properties of object vectors
function val = uc(f)
val = [f.uc_];
end
function val = vc(f)
val = [f.vc_];
end
function val = umin(f)
val = [f.umin_];
end
function val = vmin(f)
val = [f.vmin_];
end
function val = umax(f)
val = [f.umax_];
end
function val = vmax(f)
val = [f.vmax_];
end
function val = a(f)
val = [f.a_];
end
function val = b(f)
val = [f.b_];
end
function val = p(f)
val = [[f.uc_]; [f.vc_]];
end
function val = theta(f)
val = [f.theta_];
end
function val = class(f)
val = [f.class_];
end
function val = label(f)
val = [f.label_];
end
function val = touch(f)
val = [f.touch_];
end
function val = aspect(f)
val = [f.aspect_];
end
function val = area(f)
val = [f.area_];
end
function val = circularity(f)
val = [f.circularity_];
end
function val = perimeter(f)
val = [f.perimeter_];
end
function val = bboxarea(f)
val = [f.bboxarea_];
end
function val = bbox(f)
val = [f.bbox_];
end
end
methods(Static = true)
%BOUNDMATCH Match boundary profiles
%
% X = BOUNDMATCH(R1, R2) is the correlation of the two boundary profiles
% R1 and R2. Each is an Nx1 vector of distances from the centroid of
% an object to points on its perimeter at equal angular increments spanning
% 2pi radians. X is also Nx1 and is a correlation whose peak indicates the
% relative orientation of one profile with respect to the other.
%
% [X,S] = BOUNDMATCH(R1, R2) as above but also returns the relative scale
% S which is the size of object 2 with respect to object 1.
%
% Notes::
% - Can be considered as matching two functions defined over S(1).
%
% See also RegionFeature.boundary, XCORR.
% Copyright (C) 1993-2011, by Peter I. Corke
%
% This file is part of The Machine Vision Toolbox for Matlab (MVTB).
%
% MVTB is free software: you can redistribute it and/or modify
% it under the terms of the GNU Lesser General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% MVTB is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU Lesser General Public License for more details.
%
% You should have received a copy of the GNU Leser General Public License
% along with MVTB. If not, see <http://www.gnu.org/licenses/>.
function [s,kk] = boundmatch(r1, r2, varargin)
assert(numrows(r1) == numrows(r2), 'r1 and r2 must have same number of rows');
opt.normalize = true;
opt = tb_optparse(opt, varargin);
if opt.normalize
r1 = r1/sum(r1);
r2 = bsxfun(@times, r2, 1./sum(r2));
end
r1 = r1 - mean(r1);
r2 = bsxfun(@minus, r2, mean(r2));
ss1 = sum(r1.^2);
for i=1:numcols(r2)
r = r2(:,i);
ss2 = sum(r.^2);
denom = sqrt(ss1 * ss2);
z = zeros(size(r1));
for j=1:length(r1)
rs = circshift(r, j-1);
z(j) = (r1' * rs) / denom;
end
[s(i),idx(i)] = max(z);
end
if nargout > 1
kk = idx;
end
end
end
end