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
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
|
# Copyright (c) 2016 Weitian LI <liweitianux@live.com>
# MIT license
#
##############################################################################
# Copyright (C) 2011, the scikit-image team
# 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.
# 3. Neither the name of skimage nor the names of its contributors may be
# used to endorse or promote products derived from this software without
# specific prior written permission.
# THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``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 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.
"""
Generic drawers (a.k.a. painters) that draw some commonly used shapes.
DISCLAIMER
----------
The following functions are taken from project [scikit-image]_, which are
licensed under the *Modified BSD* license:
- ``_ellipse_in_shape()``
- ``ellipse()``
- ``circle()``
Credits
-------
.. [scikit-image] skimage.draw.draw
http://scikit-image.org/docs/dev/api/skimage.draw.html
https://github.com/scikit-image/scikit-image/blob/master/skimage/draw/draw.py
"""
import numpy as np
import numba as nb
@nb.jit([nb.types.UniTuple(nb.int64[:], 2)(nb.types.UniTuple(nb.int64, 2),
nb.types.UniTuple(nb.int64, 2),
nb.types.UniTuple(nb.int64, 2)),
nb.types.UniTuple(nb.int64[:], 2)(nb.int64[:], nb.int64[:],
nb.int64[:])],
nopython=True)
def _ellipse_in_shape(shape, center, radii):
"""Generate coordinates of points within the ellipse bounded by shape."""
# XXX: ``numba`` currently does not support ``numpy.meshgrid``
nrow, ncol = shape
r_lim = np.zeros((nrow, ncol))
for i in range(nrow):
r_lim[i, :] = np.arange(float(ncol))
c_lim = np.zeros((nrow, ncol))
for i in range(ncol):
c_lim[:, i] = np.arange(float(nrow))
#
r_o, c_o = center
r_r, c_r = radii
distances = (((r_lim-r_o) / r_r) * ((r_lim-r_o) / r_r) +
((c_lim-c_o) / c_r) * ((c_lim-c_o / c_r)))
xi, yi = np.nonzero(distances < 1.0)
return (xi, yi)
@nb.jit(nb.types.UniTuple(nb.int64[:], 2)(nb.int64, nb.int64,
nb.int64, nb.int64,
nb.types.UniTuple(nb.int64, 2)),
nopython=True)
def ellipse(r, c, r_radius, c_radius, shape):
"""Generate coordinates of pixels within the ellipse.
XXX/NOTE
--------
* Cannot figure out why ``nb.optional(nb.types.UniTuple(nb.int64, 2))``
does NOT work. Therefore, make ``shape`` as mandatory parameter
instead of optional.
* Cannot figure out multi-dispatch that allows both int and float types
for ``r``, ``c``, ``r_radius`` and ``c_radius``. Thus only support
the int type for the moment.
Parameters
----------
r, c : int
Center coordinate of the ellipse.
r_radius, c_radius : int
Minor and major semi-axes. ``(r/r_radius)**2 + (c/c_radius)**2 = 1``.
shape : tuple
Image shape which is used to determine the maximum extent of output
pixel coordinates. This is useful for ellipses that exceed the image
size. If None, the full extent of the ellipse is used.
Returns
-------
rr, cc : integer `~numpy.ndarray`
Pixel coordinates of the ellipse.
May be used to directly index into an array, e.g.
``img[rr, cc] = 1``.
Examples
--------
>>> from fg21sim.utils.draw import ellipse
>>> img = np.zeros((10, 10), dtype=np.uint8)
>>> rr, cc = ellipse(5, 5, 3, 4)
>>> img[rr, cc] = 1
>>> img
array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 1, 1, 1, 1, 0, 0],
[0, 0, 1, 1, 1, 1, 1, 1, 1, 0],
[0, 0, 1, 1, 1, 1, 1, 1, 1, 0],
[0, 0, 1, 1, 1, 1, 1, 1, 1, 0],
[0, 0, 0, 1, 1, 1, 1, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], dtype=uint8)
"""
center = np.array([r, c])
radii = np.array([r_radius, c_radius])
# The upper_left and lower_right corners of the
# smallest rectangle containing the ellipse.
upper_left = np.ceil(center - radii).astype(np.int64)
lower_right = np.floor(center + radii).astype(np.int64)
# Constrain upper_left and lower_right by shape boundary.
upper_left = np.maximum(upper_left, np.array([0, 0]))
lower_right = np.minimum(lower_right, np.array(shape)-1)
shifted_center = center - upper_left
bounding_shape = lower_right - upper_left + 1
rr, cc = _ellipse_in_shape(bounding_shape, shifted_center, radii)
rr += upper_left[0]
cc += upper_left[1]
return (rr, cc)
def circle(r, c, radius, shape):
"""Generate coordinates of pixels within the circle.
Parameters
----------
r, c : int
Center coordinate of the circle.
radius : int
Radius of the circle.
shape : tuple
Image shape which is used to determine the maximum extent of output
pixel coordinates. This is useful for circles that exceed the image
size. If None, the full extent of the circle is used.
Returns
-------
rr, cc : integer `~numpy.ndarray`
Pixel coordinates of the circle.
May be used to directly index into an array, e.g.
``img[rr, cc] = 1``.
Examples
--------
>>> from fg21sim.utils.draw import circle
>>> img = np.zeros((10, 10), dtype=np.uint8)
>>> rr, cc = circle(4, 4, 5)
>>> img[rr, cc] = 1
>>> img
array([[0, 0, 1, 1, 1, 1, 1, 0, 0, 0],
[0, 1, 1, 1, 1, 1, 1, 1, 0, 0],
[1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[0, 1, 1, 1, 1, 1, 1, 1, 0, 0],
[0, 0, 1, 1, 1, 1, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], dtype=uint8)
"""
return ellipse(r, c, radius, radius, shape)
|
