Code covered by the BSD License

# geom2d

### David Legland (view profile)

13 Jun 2005 (Updated )

Geometry library for matlab. Performs geometric computations on points, lines, circles, polygons...

polygonPoint(poly, pos)
function point = polygonPoint(poly, pos)
%POLYGONPOINT Extract a point from a polygon
%
%   POINT = polygonPoint(POLYGON, POS)
%
%
%   Example
%   polygonPoint
%
%   polygons2d, polylinePoint
%
% ------
% Author: David Legland
% e-mail: david.legland@grignon.inra.fr
% Created: 2009-04-30,    using Matlab 7.7.0.471 (R2008b)
% Copyright 2009 INRA - Cepia Software Platform.

% eventually copy first point at the end to ensure closed polygon
if sum(poly(end, :)==poly(1,:))~=2
poly = [poly; poly(1,:)];
end

% number of points to compute
Np = length(pos(:));

% number of vertices in polygon
Nv = size(poly, 1)-1;

% allocate memory results
point = zeros(Np, 2);

% iterate on points
for i=1:Np
% compute index of edge (between 0 and Nv)
ind = floor(pos(i));

% special case of last point of polyline
if ind==Nv
point(i,:) = poly(end,:);
continue;
end

% format index to ensure being on polygon
ind = min(max(ind, 0), Nv-1);

% position on current edge
t = min(max(pos(i)-ind, 0), 1);

% parameters of current edge
x0 = poly(ind+1, 1);
y0 = poly(ind+1, 2);
dx = poly(ind+2,1)-x0;
dy = poly(ind+2,2)-y0;

% compute position of current point
point(i, :) = [x0+t*dx, y0+t*dy];
end