| """ |
| Image Transformation |
| Code originally from Ouyang et al. (used in the 2D setting) |
| """ |
|
|
| from collections import Sequence |
| import cv2 |
| import numpy as np |
| import scipy |
| from scipy.ndimage.filters import gaussian_filter |
| from scipy.ndimage.interpolation import map_coordinates |
| from numpy.lib.stride_tricks import as_strided |
|
|
|
|
| |
| def random_num_generator(config, random_state=np.random): |
| if config[0] == 'uniform': |
| ret = random_state.uniform(config[1], config[2], 1)[0] |
| elif config[0] == 'lognormal': |
| ret = random_state.lognormal(config[1], config[2], 1)[0] |
| else: |
| |
| raise Exception('unsupported format') |
| return ret |
|
|
|
|
| def get_translation_matrix(translation): |
| """ translation: [tx, ty] """ |
| tx, ty = translation |
| translation_matrix = np.array([[1, 0, tx], |
| [0, 1, ty], |
| [0, 0, 1]]) |
| return translation_matrix |
|
|
|
|
| def get_rotation_matrix(rotation, input_shape, centred=True): |
| theta = np.pi / 180 * np.array(rotation) |
| if centred: |
| rotation_matrix = cv2.getRotationMatrix2D((input_shape[0] / 2, input_shape[1] // 2), rotation, 1) |
| rotation_matrix = np.vstack([rotation_matrix, [0, 0, 1]]) |
| else: |
| rotation_matrix = np.array([[np.cos(theta), -np.sin(theta), 0], |
| [np.sin(theta), np.cos(theta), 0], |
| [0, 0, 1]]) |
| return rotation_matrix |
|
|
|
|
| def get_zoom_matrix(zoom, input_shape, centred=True): |
| zx, zy = zoom |
| if centred: |
| zoom_matrix = cv2.getRotationMatrix2D((input_shape[0] / 2, input_shape[1] // 2), 0, zoom[0]) |
| zoom_matrix = np.vstack([zoom_matrix, [0, 0, 1]]) |
| else: |
| zoom_matrix = np.array([[zx, 0, 0], |
| [0, zy, 0], |
| [0, 0, 1]]) |
| return zoom_matrix |
|
|
|
|
| def get_shear_matrix(shear_angle): |
| theta = (np.pi * shear_angle) / 180 |
| shear_matrix = np.array([[1, -np.sin(theta), 0], |
| [0, np.cos(theta), 0], |
| [0, 0, 1]]) |
| return shear_matrix |
|
|
|
|
| |
| class RandomAffine(object): |
| """Apply random affine transformation on a numpy.ndarray (H x W x C) |
| Comment by co1818: this is still doing affine on 2d (H x W plane). |
| A same transform is applied to all C channels |
| |
| Parameter: |
| ---------- |
| |
| alpha: Range [0, 4] seems good for small images |
| |
| order: interpolation method (c.f. opencv) |
| """ |
|
|
| def __init__(self, |
| rotation_range=None, |
| translation_range=None, |
| shear_range=None, |
| zoom_range=None, |
| zoom_keep_aspect=False, |
| interp='bilinear', |
| order=3): |
| """ |
| Perform an affine transforms. |
| |
| Arguments |
| --------- |
| rotation_range : one integer or float |
| image will be rotated randomly between (-degrees, degrees) |
| |
| translation_range : (x_shift, y_shift) |
| shifts in pixels |
| |
| *NOT TESTED* shear_range : float |
| image will be sheared randomly between (-degrees, degrees) |
| |
| zoom_range : (zoom_min, zoom_max) |
| list/tuple with two floats between [0, infinity). |
| first float should be less than the second |
| lower and upper bounds on percent zoom. |
| Anything less than 1.0 will zoom in on the image, |
| anything greater than 1.0 will zoom out on the image. |
| e.g. (0.7, 1.0) will only zoom in, |
| (1.0, 1.4) will only zoom out, |
| (0.7, 1.4) will randomly zoom in or out |
| """ |
|
|
| self.rotation_range = rotation_range |
| self.translation_range = translation_range |
| self.shear_range = shear_range |
| self.zoom_range = zoom_range |
| self.zoom_keep_aspect = zoom_keep_aspect |
| self.interp = interp |
| self.order = order |
|
|
| def build_M(self, input_shape): |
| tfx = [] |
| final_tfx = np.eye(3) |
| if self.rotation_range: |
| rot = np.random.uniform(-self.rotation_range, self.rotation_range) |
| tfx.append(get_rotation_matrix(rot, input_shape)) |
| if self.translation_range: |
| tx = np.random.uniform(-self.translation_range[0], self.translation_range[0]) |
| ty = np.random.uniform(-self.translation_range[1], self.translation_range[1]) |
| tfx.append(get_translation_matrix((tx, ty))) |
| if self.shear_range: |
| rot = np.random.uniform(-self.shear_range, self.shear_range) |
| tfx.append(get_shear_matrix(rot)) |
| if self.zoom_range: |
| sx = np.random.uniform(self.zoom_range[0], self.zoom_range[1]) |
| if self.zoom_keep_aspect: |
| sy = sx |
| else: |
| sy = np.random.uniform(self.zoom_range[0], self.zoom_range[1]) |
|
|
| tfx.append(get_zoom_matrix((sx, sy), input_shape)) |
|
|
| for tfx_mat in tfx: |
| final_tfx = np.dot(tfx_mat, final_tfx) |
|
|
| return final_tfx.astype(np.float32) |
|
|
| def __call__(self, image): |
| |
| input_shape = image.shape[:2] |
| M = self.build_M(input_shape) |
|
|
| res = np.zeros_like(image) |
| |
| if type(self.order) is list or type(self.order) is tuple: |
| for i, intp in enumerate(self.order): |
| res[..., i] = affine_transform_via_M(image[..., i], M[:2], interp=intp) |
| else: |
| |
| orig_shape = image.shape |
| image_s = np.squeeze(image) |
| res = affine_transform_via_M(image_s, M[:2], interp=self.order) |
| res = res.reshape(orig_shape) |
|
|
| |
|
|
| return res |
|
|
|
|
| def affine_transform_via_M(image, M, borderMode=cv2.BORDER_CONSTANT, interp=cv2.INTER_NEAREST): |
| imshape = image.shape |
| shape_size = imshape[:2] |
|
|
| |
| warped = cv2.warpAffine(image.reshape(shape_size + (-1,)), M, shape_size[::-1], |
| flags=interp, borderMode=borderMode) |
|
|
| |
|
|
| warped = warped[..., np.newaxis].reshape(imshape) |
|
|
| return warped |
|
|
|
|
| |
| def elastic_transform(image, alpha=1000, sigma=30, spline_order=1, mode='nearest', random_state=np.random): |
| """Elastic deformation of image as described in [Simard2003]_. |
| .. [Simard2003] Simard, Steinkraus and Platt, "Best Practices for |
| Convolutional Neural Networks applied to Visual Document Analysis", in |
| Proc. of the International Conference on Document Analysis and |
| Recognition, 2003. |
| """ |
| assert image.ndim == 3 |
| shape = image.shape[:2] |
|
|
| dx = gaussian_filter((random_state.rand(*shape) * 2 - 1), |
| sigma, mode="constant", cval=0) * alpha |
| dy = gaussian_filter((random_state.rand(*shape) * 2 - 1), |
| sigma, mode="constant", cval=0) * alpha |
|
|
| x, y = np.meshgrid(np.arange(shape[0]), np.arange(shape[1]), indexing='ij') |
| indices = [np.reshape(x + dx, (-1, 1)), np.reshape(y + dy, (-1, 1))] |
| result = np.empty_like(image) |
| for i in range(image.shape[2]): |
| result[:, :, i] = map_coordinates( |
| image[:, :, i], indices, order=spline_order, mode=mode).reshape(shape) |
| return result |
|
|
|
|
| def elastic_transform_nd(image, alpha, sigma, random_state=None, order=1, lazy=False): |
| """Expects data to be (nx, ny, n1 ,..., nm) |
| params: |
| ------ |
| |
| alpha: |
| the scaling parameter. |
| E.g.: alpha=2 => distorts images up to 2x scaling |
| |
| sigma: |
| standard deviation of gaussian filter. |
| E.g. |
| low (sig~=1e-3) => no smoothing, pixelated. |
| high (1/5 * imsize) => smooth, more like affine. |
| very high (1/2*im_size) => translation |
| """ |
|
|
| if random_state is None: |
| random_state = np.random.RandomState(None) |
|
|
| shape = image.shape |
| imsize = shape[:2] |
| dim = shape[2:] |
|
|
| |
| blur_size = int(4 * sigma) | 1 |
| dx = cv2.GaussianBlur(random_state.rand(*imsize) * 2 - 1, |
| ksize=(blur_size, blur_size), sigmaX=sigma) * alpha |
| dy = cv2.GaussianBlur(random_state.rand(*imsize) * 2 - 1, |
| ksize=(blur_size, blur_size), sigmaX=sigma) * alpha |
|
|
| |
| dx = as_strided(dx.astype(np.float32), |
| strides=(0,) * len(dim) + (4 * shape[1], 4), |
| shape=dim + (shape[0], shape[1])) |
| dx = np.transpose(dx, axes=(-2, -1) + tuple(range(len(dim)))) |
|
|
| dy = as_strided(dy.astype(np.float32), |
| strides=(0,) * len(dim) + (4 * shape[1], 4), |
| shape=dim + (shape[0], shape[1])) |
| dy = np.transpose(dy, axes=(-2, -1) + tuple(range(len(dim)))) |
|
|
| coord = np.meshgrid(*[np.arange(shape_i) for shape_i in (shape[1], shape[0]) + dim]) |
| indices = [np.reshape(e + de, (-1, 1)) for e, de in zip([coord[1], coord[0]] + coord[2:], |
| [dy, dx] + [0] * len(dim))] |
|
|
| if lazy: |
| return indices |
|
|
| return map_coordinates(image, indices, order=order, mode='reflect').reshape(shape) |
|
|
|
|
| class ElasticTransform(object): |
| """Apply elastic transformation on a numpy.ndarray (H x W x C) |
| """ |
|
|
| def __init__(self, alpha, sigma, order=1): |
| self.alpha = alpha |
| self.sigma = sigma |
| self.order = order |
|
|
| def __call__(self, image): |
| if isinstance(self.alpha, Sequence): |
| alpha = random_num_generator(self.alpha) |
| else: |
| alpha = self.alpha |
| if isinstance(self.sigma, Sequence): |
| sigma = random_num_generator(self.sigma) |
| else: |
| sigma = self.sigma |
| return elastic_transform_nd(image, alpha=alpha, sigma=sigma, order=self.order) |
|
|
|
|
| class RandomFlip3D(object): |
|
|
| def __init__(self, h=True, v=True, t=True, p=0.5): |
| """ |
| Randomly flip an image horizontally and/or vertically with |
| some probability. |
| |
| Arguments |
| --------- |
| h : boolean |
| whether to horizontally flip w/ probability p |
| |
| v : boolean |
| whether to vertically flip w/ probability p |
| |
| p : float between [0,1] |
| probability with which to apply allowed flipping operations |
| """ |
| self.horizontal = h |
| self.vertical = v |
| self.depth = t |
| self.p = p |
|
|
| def __call__(self, x, y=None): |
| |
| if self.horizontal: |
| if np.random.random() < self.p: |
| x = x[::-1, ...] |
|
|
| |
| if self.vertical: |
| if np.random.random() < self.p: |
| x = x[:, ::-1, ...] |
|
|
| if self.depth: |
| if np.random.random() < self.p: |
| x = x[..., ::-1] |
|
|
| return x |
|
|