# Copyright (c) 2016 Weitian LI # MIT license """ Generic drawers (i.e., painters) that draw some commonly used shapes. Credits: - scikit-image: 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 def _ellipse_in_shape(shape, center, radii): """Generate coordinates of points within the ellipse bounded by shape.""" r_lim, c_lim = np.ogrid[0:float(shape[0]), 0:float(shape[1])] r_o, c_o = center r_r, c_r = radii distances = ((r_lim - r_o) / r_r)**2 + ((c_lim - c_o) / c_r)**2 return np.nonzero(distances < 1.0) def ellipse(r, c, r_radius, c_radius, shape=None): """Generate coordinates of pixels within the ellipse. Parameters ---------- r, c : float Center coordinate of the ellipse. r_radius, c_radius : float Minor and major semi-axes. ``(r/r_radius)**2 + (c/c_radius)**2 = 1``. shape : tuple, optional 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(int) lower_right = np.floor(center + radii).astype(int) if shape is not None: # 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[:2]) - 1) shifted_center = center - upper_left bounding_shape = lower_right - upper_left + 1 rr, cc = _ellipse_in_shape(bounding_shape, shifted_center, radii) rr.flags.writeable = True cc.flags.writeable = True rr += upper_left[0] cc += upper_left[1] return rr, cc def circle(r, c, radius, shape=None): """Generate coordinates of pixels within the circle. Parameters ---------- r, c : float Center coordinate of the circle. radius : float Radius of the circle. shape : tuple, optional 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)