1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
|
## Copyright (C) 2024 David Legland
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
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.
%
% See also
% polylines2d, cart2geod, curveLength
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2004-04-08
% Copyright 2004-2023 INRA - TPV URPOI - BIA IMASTE
t = parametrize(curve);
N = size(src, 1);
ind = zeros(N, 1);
for i = 1:N
indices = find(t >= src(i,1));
if ~isempty(indices)
ind(i) = indices(1);
else
ind(i) = 1;
end
end
theta = lineAngle([zeros(N,2) normal(ind,:)]);
d = src(:,2);
point = [curve(ind,1)+d.*cos(theta), curve(ind,2)+d.*sin(theta)];
|
