new method: ellipse_perimeter

This commit is contained in:
François Boulogne
2013-01-13 16:39:02 +01:00
parent accdf3b370
commit 075c43109a
3 changed files with 130 additions and 3 deletions
+1 -1
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@@ -1,2 +1,2 @@
from ._draw import line, polygon, ellipse, circle, circle_perimeter, set_color
from ._draw import line, polygon, ellipse, circle, circle_perimeter, ellipse_perimeter, set_color
bresenham = line
+84
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@@ -263,6 +263,90 @@ def circle_perimeter(int cy, int cx, int radius, method='bresenham'):
return np.array(rr) + cy, np.array(cc) + cx
def ellipse_perimeter(int cy, int cx, int yradius, int xradius):
"""Generate ellipse perimeter coordinates.
Parameters
----------
cy, cx : int
Centre coordinate of ellipse.
yradius, xradius: int
Main radial values.
Returns
-------
rr, cc : (N,) ndarray of int
Indices of pixels that belong to the circle perimeter.
May be used to directly index into an array, e.g.
``img[rr, cc] = 1``.
References
----------
.. [1] J. Kennedy "A fast Bresenham type algorithm for
drawing ellipses".
"""
# If both radii == 0, return the center
# to avoid infinite loop in 2nd set
if (xradius == 0 and yradius == 0):
return np.array(cy), np.array(cx)
# a and b are xradius an yradius
# compute 2a^2 and 2b^2
cdef int twoasquared = 2 * xradius * xradius
cdef int twobsquared = 2 * yradius * yradius
# Pixels
cdef list px = list()
cdef list py = list()
# First set of points:
# start at the top
cdef int x = xradius
cdef int y = 0
cdef int err = 0
cdef int xstop = twobsquared * xradius
cdef int ystop = 0
cdef int xchange = yradius * yradius * (1 - 2 * xradius)
cdef int ychange = xradius * xradius
while(xstop > ystop):
px.extend([x, -x, -x, x])
py.extend([y, y, -y, -y])
y += 1
ystop += twoasquared
err += ychange
ychange += twoasquared
if ((2 * err + xchange) > 0):
x -= 1
xstop -= twobsquared
err += xchange
xchange += twobsquared
# Second set of points:
x = 0
y = yradius
err = 0
xstop = 0
ystop = twoasquared * yradius
xchange = yradius * yradius
ychange = xradius * xradius * (1 - 2 * yradius)
while(xstop <= ystop):
px.extend([x, -x, -x, x])
py.extend([y, y, -y, -y])
x += 1
xstop += twobsquared
err += xchange
xchange += twobsquared
if ((2 * err + ychange) > 0):
y -= 1
ystop -= twoasquared
err += ychange
ychange += twobsquared
return np.array(py) + cy, np.array(px) + cx
@cython.boundscheck(False)
@cython.wraparound(False)
+45 -2
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@@ -1,7 +1,7 @@
from numpy.testing import assert_array_equal
import numpy as np
from skimage.draw import line, polygon, circle, circle_perimeter, ellipse
from skimage.draw import line, polygon, circle, circle_perimeter, ellipse, ellipse_perimeter
def test_line_horizontal():
@@ -210,7 +210,6 @@ def test_circle_perimeter_andres():
)
assert_array_equal(img, img_)
def test_ellipse():
img = np.zeros((15, 15), 'uint8')
@@ -237,6 +236,50 @@ def test_ellipse():
assert_array_equal(img, img_)
def test_ellipse_perimeter():
img = np.zeros((30, 15), 'uint8')
rr, cc = ellipse_perimeter(15, 7, 0, 0)
img[rr, cc] = 1
assert(np.sum(img) == 1)
img = np.zeros((30, 15), 'uint8')
rr, cc = ellipse_perimeter(15, 7, 14, 6)
img[rr, cc] = 1
print(img)
img_ = np.array(
[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0]]
)
assert_array_equal(img, img_)
if __name__ == "__main__":
from numpy.testing import run_module_suite