/
Test_vca.m
160 lines (135 loc) · 3.42 KB
/
Test_vca.m
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
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
function [varargout] = Test_vca(varargin)
%Test_vca Tests VCA
%
% USAGE:
% [V, F] = Test_vca(N, r, e, maxIter, [testName]);
%
% INPUTS:
% Sm - R(N, d) matrix : input data
% e - R : tolerance
% maxIter : N - Maximum number of iterations
% testName - string
%
% OUTPUTS:
% V - vanishing components
% F - non-vanishing components
% Copyright 2013 Denso IT Laboratory, Inc.
% CHANGE LOG:
% [001] 2013/07/24, Hiroshi Tsukahara, Created.
% [002] 2013/07/28, Hiroshi Tsukaahra, Modified so that the test data are given as an argument.
% [003] 2013/07/30, Hiroshi Tsukahara, Sets a limit for iterations.
Sm = varargin{1};
e = 0.1;
maxIter = Inf;
testName = 'Test_vca';
plotFlag = 0;
if nargin > 1
e = varargin{2};
end
if length(varargin) > 2
maxIter = varargin{3};
end
if nargin > 3
testName = varargin{4};
end
d = size(Sm, 2);
Lm = zeros(d, 1);
for k = 1 : d
Lm(k) = 1.5 * sqrt(max(Sm(:, k) .* Sm(:, k)));
end
[V, F] = vca(Sm, e, maxIter);
disp('Vanishing Compoments');
for k = 1 : length(V)
s = ['V[' num2str(k) ']: ' Polynomial_disp(V{k})];
disp(s);
end
N = size(Sm, 1);
filename = [testName '.N-' num2str(N) '_e-' num2str(e) '.mat'];
save(filename, 'V', 'F', 'Sm', 'e');
varargout{1} = V;
varargout{2} = F;
o = '[';
s = 'ndgrid(';
for k = 1 : d
if k > 1
o = [o ', '];
s = [s ', '];
end
o = [o 'g' num2str(k)];
s = [s '-' num2str(Lm(k)) ':' num2str(Lm(k)) '/50:' num2str(Lm(k))];
end
o = [o ']'];
s = [s ');'];
eval([o '=' s]);
plotData(Sm);
for k = 1 : length(V)
figure;
switch d
case 2
plotVca(g1, g2, Sm, V, e, k, plotFlag);
case 3
plotVca3(g1, g2, g3, Sm, V, e, k);
end
end
end
function plotData(Sm)
figure;
plot(Sm(:, 1), Sm(:, 2), 'o');
legend('data');
end
function plotVca(gx, gy, Sm, V, e, K, plotFlag)
cmap = lines;
plot(Sm(:, 1), Sm(:, 2), 'o', 'Color', cmap(1, :));
hold on;
plotName = cell(K + 1, 1);
plotName{1} = 'data';
for k = 1 : K
plotContour(gx, gy, V{k}, e, cmap, k, plotFlag);
if plotFlag
plotName{2 * k} = ['V{' num2str(k) '}.bound'];
plotName{2 * k + 1} = ['V{' num2str(k) '}.center'];
else
plotName{k + 1} = ['V{' num2str(k) '}'];
end
end
legend(plotName{:});
hold off;
end
function plotContour(gx, gy, poly, e, cmap, m, plotFlag)
z = zeros(size(gx));
for k = 1 : size(gx, 2)
z(:,k) = Polynomial_eval(poly, [gx(:, k), gy(:, k)]);
end
if plotFlag
contour(gx, gy, z, [-e, e], 'Color', cmap(m + 1,:), 'LineWidth', 1.5);
contour(gx, gy, z, [0, 0], 'Color', cmap(m + 1,:), 'LineWidth', 1, 'LineStyle', '-.');
else
contour(gx, gy, z, [-e, e], 'Color', cmap(m + 1,:), 'LineWidth', 1.5);
end
end
function plot3Vca(gx, gy, gz, Sm, V, e, K)
cmap = lines;
plot3(Sm(:, 1), Sm(:, 2), Sm(:, 3), 'o', 'Color', cmap(1, :));
hold on;
plotName = cell(K + 1, 1);
plotName{1} = 'data';
for k = 1 : K
plotContour3(gx, gy, gz, V{k}, e, cmap, k);
plotName{k + 1} = ['V{' num2str(k) '}'];
end
legend(plotName{:});
hold off;
end
function plotContour3(gx, gy, gz, poly, e, cmap, m)
v = zeros(size(gx));
for k = 1 : size(gx, 2)
v(:,k) = Polynomial_eval(poly, [gx(:, k), gy(:, k), gz(:,k)]);
end
hpatch = patch(isosurface(gx, gy, gz, v, 0));
set(hpatch, 'FaceColor', cmap(m + 1,:), 'EdgeColor', 'none')
daspect([1,4,4])
view([-65,20])
axis tight
camlight left;
set(gcf,'Renderer','zbuffer'); lighting phong
end