13 Jun 2005
13 May 2015)
Geometry library for matlab. Performs geometric computations on points, lines, circles, polygons...
|geod2cart(src, curve, normal)
function point = geod2cart(src, curve, normal)
%GEOD2CART Convert geodesic coordinates to cartesian coord.
% PT2 = geod2cart(PT1, CURVE, NORMAL)
% CURVE and NORMAL are both [N*2] array with the same length, and
% represent positions of the curve, and normal to each point.
% PT1 is the point to transform, in geodesic coordinate (first coord is
% distance from the curve start, and second coord is distance between
% point and curve).
% The function return the coordinate of PT1 in the same coordinate system
% than for the curve.
% TODO : add processing of points not projected on the curve.
% -> use the closest end
% See also
% polylines2d, cart2geod, curveLength
% author : David Legland
% INRA - TPV URPOI - BIA IMASTE
% created the 08/04/2004.
t = parametrize(curve);
N = size(src, 1);
ind = zeros(N, 1);
indices = find(t>=src(i,1));
ind(i) = indices(1);
theta = lineAngle([zeros(N,1) zeros(N,1) normal(ind,:)]);
d = src(:,2);
point = [curve(ind,1)+d.*cos(theta), curve(ind,2)+d.*sin(theta)];