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## 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 [v, e] = quiverToGraph(x, y, dx, dy)
%QUIVERTOGRAPH Converts quiver data to quad mesh.
%
% [V E] = quiverToGraph(x, y, dx, dy)
% x, y, dx and dy are matrices the same dimension, typically ones used
% for display using 'quiver'.
% V and E are vertex coordinates, and edge vertex indices of the graph
% joining end points of vector arrows.
%
% Example
% quiverToGraph
%
% See also
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2010-06-16, using Matlab 7.9.0.529 (R2009b)
% Copyright 2010-2023 INRA - Cepia Software Platform
% compute vertex coordinates
vx = x+dx;
vy = y+dy;
v = [vx(:) vy(:)];
% index of vertices
labels = reshape(1:numel(x), size(x));
% compute indices of vertical edges
N1 = numel(labels(1:end-1,:));
vedges = [reshape(labels(1:end-1, :), [N1 1]) reshape(labels(2:end, :), [N1 1])];
% compute indices of horizontal edges
N2 = numel(labels(:, 1:end-1));
hedges = [reshape(labels(:, 1:end-1), [N2 1]) reshape(labels(:, 2:end), [N2 1])];
% concatenate horizontal and vertical edges
e = [hedges ; vedges];
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