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...

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
%
%   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);
for i=1:N
indices = find(t>=src(i,1));
ind(i) = indices(1);
end

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)];```