13 Jun 2005
01 Apr 2014)
Geometry library for matlab. Performs geometric computations on points, lines, circles, polygons...
function point = cart2geod(src, curve)
%CART2GEOD Convert cartesian coordinates to geodesic coord.
% PT2 = cart2geod(PT1, CURVE)
% PT1 is the point to transform, in Cartesian coordinates (same system
% used for the curve).
% CURVE is a [N*2] array which represents positions of the curve.
% The function first compute the projection of PT1 on the curve. Then,
% the first geodesic coordinate is the length of the curve to the
% projected point, and the second geodesic coordinate is the
% distance between PT1 and it projection.
% TODO : add processing of points not projected on the curve.
% -> use the closest end
% See also
% polylines2d, geod2cart, curveLength
% Author: David Legland
% e-mail: email@example.com
% created the 08/04/2004.
% Copyright 2010 INRA - Cepia Software Platform.
% 15/02/2007 replace minDistance by minDistancePoints
% parametrization approximation
t = parametrize(curve);
% compute distance between each src point and the curve
[dist ind] = minDistancePoints(src, curve);
% convert to 'geodesic' coordinate
point = [t(ind) dist];
% Old version:
% for i=1:size(pt1, 1)
% [dist, ind] = minDistance(src(i,:), curve);
% point(i,:) = [t(ind) dist];