1 | function h=plotframe(frames,varargin) |
---|
2 | % PLOTFRAME Plot feature frame |
---|
3 | % PLOTFRAME(FRAME) plots the frames FRAME. Frames are attributed |
---|
4 | % image regions (as, for example, extracted by a feature detector). A |
---|
5 | % frame is a vector of D=2,3,..,6 real numbers, depending on its |
---|
6 | % class. PLOTFRAME() supports the following classes: |
---|
7 | % |
---|
8 | % * POINTS |
---|
9 | % + FRAME(1:2) coordinates |
---|
10 | % |
---|
11 | % * CIRCLES |
---|
12 | % + FRAME(1:2) center |
---|
13 | % + FRAME(3) radius |
---|
14 | % |
---|
15 | % * ORIENTED CIRCLES |
---|
16 | % + FRAME(1:2) center |
---|
17 | % + FRAME(3) radius |
---|
18 | % + FRAME(4) orientation |
---|
19 | % |
---|
20 | % * ELLIPSES |
---|
21 | % + FRAME(1:2) center |
---|
22 | % + FRAME(3:5) S11, S12, S22 of x' inv(S) x = 1. |
---|
23 | % |
---|
24 | % * ORIENTED ELLIPSES |
---|
25 | % + FRAME(1:2) center |
---|
26 | % + FRAME(3:6) A(:) of ELLIPSE = A UNIT_CIRCLE |
---|
27 | % |
---|
28 | % H=PLOTFRAME(...) returns the handle of the graphical object |
---|
29 | % representing the frames. |
---|
30 | % |
---|
31 | % PLOTFRAME(FRAMES) where FRAMES is a matrix whose column are FRAME |
---|
32 | % vectors plots all frames simultaneously. Using this call is much |
---|
33 | % faster than calling PLOTFRAME() for each frame. |
---|
34 | % |
---|
35 | % PLOTFRAME(FRAMES,...) passes any extra argument to the underlying |
---|
36 | % plot function. |
---|
37 | |
---|
38 | % AUTORIGHTS |
---|
39 | % Copyright (C) 2006 Andrea Vedaldi |
---|
40 | % |
---|
41 | % This file is part of VLUtil. |
---|
42 | % |
---|
43 | % VLUtil is free software; you can redistribute it and/or modify |
---|
44 | % it under the terms of the GNU General Public License as published by |
---|
45 | % the Free Software Foundation; either version 2, or (at your option) |
---|
46 | % any later version. |
---|
47 | % |
---|
48 | % This program is distributed in the hope that it will be useful, |
---|
49 | % but WITHOUT ANY WARRANTY; without even the implied warranty of |
---|
50 | % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
---|
51 | % GNU General Public License for more details. |
---|
52 | % |
---|
53 | % You should have received a copy of the GNU General Public License |
---|
54 | % along with this program; if not, write to the Free Software Foundation, |
---|
55 | % Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
---|
56 | |
---|
57 | % number of vertices drawn for each frame |
---|
58 | np = 40 ; |
---|
59 | |
---|
60 | % -------------------------------------------------------------------- |
---|
61 | % Handle various frame classes |
---|
62 | % -------------------------------------------------------------------- |
---|
63 | |
---|
64 | % if just a vector, make sure it is column |
---|
65 | if(min(size(frames))==1) |
---|
66 | frames = frames(:) ; |
---|
67 | end |
---|
68 | |
---|
69 | [D,K] = size(frames) ; |
---|
70 | zero_dimensional = D==2 ; |
---|
71 | |
---|
72 | % just points? |
---|
73 | if zero_dimensional |
---|
74 | h = plot(frames(1,:),frames(2,:),'g.',varargin{:}) ; |
---|
75 | return ; |
---|
76 | end |
---|
77 | |
---|
78 | % reduce all other cases to ellipses/oriented ellipses |
---|
79 | frames = frame2oell(frames) ; |
---|
80 | do_arrows = (D==4 || D==6) ; |
---|
81 | |
---|
82 | % -------------------------------------------------------------------- |
---|
83 | % Draw |
---|
84 | % -------------------------------------------------------------------- |
---|
85 | |
---|
86 | K = size(frames,2) ; |
---|
87 | thr = linspace(0,2*pi,np) ; |
---|
88 | |
---|
89 | % allx and ally are nan separated lists of the vertices describing the |
---|
90 | % boundary of the frames |
---|
91 | allx = nan*ones(1, np*K+(K-1)) ; |
---|
92 | ally = nan*ones(1, np*K+(K-1)) ; |
---|
93 | |
---|
94 | if do_arrows |
---|
95 | % allxf and allyf are nan separated lists of the vertices of the |
---|
96 | allxf = nan*ones(1, 3*K) ; |
---|
97 | allyf = nan*ones(1, 3*K) ; |
---|
98 | end |
---|
99 | |
---|
100 | % vertices around a unit circle |
---|
101 | Xp = [cos(thr) ; sin(thr) ;] ; |
---|
102 | |
---|
103 | for k=1:K |
---|
104 | |
---|
105 | % frame center |
---|
106 | xc = frames(1,k) ; |
---|
107 | yc = frames(2,k) ; |
---|
108 | |
---|
109 | % frame matrix |
---|
110 | A = reshape(frames(3:6,k),2,2) ; |
---|
111 | |
---|
112 | % vertices along the boundary |
---|
113 | X = A * Xp ; |
---|
114 | X(1,:) = X(1,:) + xc ; |
---|
115 | X(2,:) = X(2,:) + yc ; |
---|
116 | |
---|
117 | % store |
---|
118 | allx((k-1)*(np+1) + (1:np)) = X(1,:) ; |
---|
119 | ally((k-1)*(np+1) + (1:np)) = X(2,:) ; |
---|
120 | |
---|
121 | if do_arrows |
---|
122 | allxf((k-1)*3 + (1:2)) = xc + [0 A(1,1)] ; |
---|
123 | allyf((k-1)*3 + (1:2)) = yc + [0 A(2,1)] ; |
---|
124 | end |
---|
125 | |
---|
126 | end |
---|
127 | |
---|
128 | if do_arrows |
---|
129 | h = line([allx nan allxf], ... |
---|
130 | [ally nan allyf], ... |
---|
131 | 'Color','g','LineWidth',3, ... |
---|
132 | varargin{:}) ; |
---|
133 | else |
---|
134 | h = line(allx, ally, ... |
---|
135 | 'Color','g','LineWidth',3, ... |
---|
136 | varargin{:}) ; |
---|
137 | end |
---|
138 | |
---|
139 | |
---|
140 | % -------------------------------------------------------------------- |
---|
141 | function eframes = frame2oell(frames) |
---|
142 | % FRAMES2OELL Convert generic frame to oriented ellipse |
---|
143 | % EFRAMES = FRAME2OELL(FRAMES) converts the frames FRAMES to |
---|
144 | % oriented ellipses EFRAMES. This is useful because many tasks are |
---|
145 | % almost equivalent for all kind of regions and are immediately |
---|
146 | % reduced to the most general case. |
---|
147 | |
---|
148 | % |
---|
149 | % Determine the kind of frames |
---|
150 | % |
---|
151 | [D,K] = size(frames) ; |
---|
152 | |
---|
153 | switch D |
---|
154 | case 2 |
---|
155 | kind = 'point' ; |
---|
156 | |
---|
157 | case 3 |
---|
158 | kind = 'disk' ; |
---|
159 | |
---|
160 | case 4 |
---|
161 | kind = 'odisk' ; |
---|
162 | |
---|
163 | case 5 |
---|
164 | kind = 'ellipse' ; |
---|
165 | |
---|
166 | case 6 |
---|
167 | kind = 'oellipse' ; |
---|
168 | |
---|
169 | otherwise |
---|
170 | error(['FRAMES format is unknown']) ; |
---|
171 | end |
---|
172 | |
---|
173 | eframes = zeros(6,K) ; |
---|
174 | |
---|
175 | % |
---|
176 | % Do converison |
---|
177 | % |
---|
178 | switch kind |
---|
179 | case 'point' |
---|
180 | eframes(1:2,:) = frames(1:2,:) ; |
---|
181 | |
---|
182 | case 'disk' |
---|
183 | eframes(1:2,:) = frames(1:2,:) ; |
---|
184 | eframes(3,:) = frames(3,:) ; |
---|
185 | eframes(6,:) = frames(3,:) ; |
---|
186 | |
---|
187 | case 'odisk' |
---|
188 | r = frames(3,:) ; |
---|
189 | c = r.*cos(frames(4,:)) ; |
---|
190 | s = r.*sin(frames(4,:)) ; |
---|
191 | |
---|
192 | eframes(1:2,:) = frames(1:2,:) ; |
---|
193 | eframes(3:6,:) = [c ; s ; -s ; c] ; |
---|
194 | |
---|
195 | case 'ellipse' |
---|
196 | eframes(1:2,:) = frames(1:2,:) ; |
---|
197 | |
---|
198 | eframes(3,:) = sqrt(frames(3,:)) ; |
---|
199 | eframes(4,:) = frames(4,:) ./ eframes(3,:) ; |
---|
200 | eframes(5,:) = zeros(1,K) ; |
---|
201 | eframes(6,:) = sqrt(frames(5,:) - ... |
---|
202 | frames(4,:).*frames(4,:)./frames(3,:)) ; |
---|
203 | case 'oellipse' |
---|
204 | eframes = frames ; |
---|
205 | end |
---|