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| import numpy as np | |
| from PIL import Image | |
| def nms(boxes, overlap_threshold=0.5, mode='union'): | |
| """Non-maximum suppression. | |
| Arguments: | |
| boxes: a float numpy array of shape [n, 5], | |
| where each row is (xmin, ymin, xmax, ymax, score). | |
| overlap_threshold: a float number. | |
| mode: 'union' or 'min'. | |
| Returns: | |
| list with indices of the selected boxes | |
| """ | |
| # if there are no boxes, return the empty list | |
| if len(boxes) == 0: | |
| return [] | |
| # list of picked indices | |
| pick = [] | |
| # grab the coordinates of the bounding boxes | |
| x1, y1, x2, y2, score = [boxes[:, i] for i in range(5)] | |
| area = (x2 - x1 + 1.0)*(y2 - y1 + 1.0) | |
| ids = np.argsort(score) # in increasing order | |
| while len(ids) > 0: | |
| # grab index of the largest value | |
| last = len(ids) - 1 | |
| i = ids[last] | |
| pick.append(i) | |
| # compute intersections | |
| # of the box with the largest score | |
| # with the rest of boxes | |
| # left top corner of intersection boxes | |
| ix1 = np.maximum(x1[i], x1[ids[:last]]) | |
| iy1 = np.maximum(y1[i], y1[ids[:last]]) | |
| # right bottom corner of intersection boxes | |
| ix2 = np.minimum(x2[i], x2[ids[:last]]) | |
| iy2 = np.minimum(y2[i], y2[ids[:last]]) | |
| # width and height of intersection boxes | |
| w = np.maximum(0.0, ix2 - ix1 + 1.0) | |
| h = np.maximum(0.0, iy2 - iy1 + 1.0) | |
| # intersections' areas | |
| inter = w * h | |
| if mode == 'min': | |
| overlap = inter/np.minimum(area[i], area[ids[:last]]) | |
| elif mode == 'union': | |
| # intersection over union (IoU) | |
| overlap = inter/(area[i] + area[ids[:last]] - inter) | |
| # delete all boxes where overlap is too big | |
| ids = np.delete( | |
| ids, | |
| np.concatenate([[last], np.where(overlap > overlap_threshold)[0]]) | |
| ) | |
| return pick | |
| def convert_to_square(bboxes): | |
| """Convert bounding boxes to a square form. | |
| Arguments: | |
| bboxes: a float numpy array of shape [n, 5]. | |
| Returns: | |
| a float numpy array of shape [n, 5], | |
| squared bounding boxes. | |
| """ | |
| square_bboxes = np.zeros_like(bboxes) | |
| x1, y1, x2, y2 = [bboxes[:, i] for i in range(4)] | |
| h = y2 - y1 + 1.0 | |
| w = x2 - x1 + 1.0 | |
| max_side = np.maximum(h, w) | |
| square_bboxes[:, 0] = x1 + w*0.5 - max_side*0.5 | |
| square_bboxes[:, 1] = y1 + h*0.5 - max_side*0.5 | |
| square_bboxes[:, 2] = square_bboxes[:, 0] + max_side - 1.0 | |
| square_bboxes[:, 3] = square_bboxes[:, 1] + max_side - 1.0 | |
| return square_bboxes | |
| def calibrate_box(bboxes, offsets): | |
| """Transform bounding boxes to be more like true bounding boxes. | |
| 'offsets' is one of the outputs of the nets. | |
| Arguments: | |
| bboxes: a float numpy array of shape [n, 5]. | |
| offsets: a float numpy array of shape [n, 4]. | |
| Returns: | |
| a float numpy array of shape [n, 5]. | |
| """ | |
| x1, y1, x2, y2 = [bboxes[:, i] for i in range(4)] | |
| w = x2 - x1 + 1.0 | |
| h = y2 - y1 + 1.0 | |
| w = np.expand_dims(w, 1) | |
| h = np.expand_dims(h, 1) | |
| # this is what happening here: | |
| # tx1, ty1, tx2, ty2 = [offsets[:, i] for i in range(4)] | |
| # x1_true = x1 + tx1*w | |
| # y1_true = y1 + ty1*h | |
| # x2_true = x2 + tx2*w | |
| # y2_true = y2 + ty2*h | |
| # below is just more compact form of this | |
| # are offsets always such that | |
| # x1 < x2 and y1 < y2 ? | |
| translation = np.hstack([w, h, w, h])*offsets | |
| bboxes[:, 0:4] = bboxes[:, 0:4] + translation | |
| return bboxes | |
| def get_image_boxes(bounding_boxes, img, size=24): | |
| """Cut out boxes from the image. | |
| Arguments: | |
| bounding_boxes: a float numpy array of shape [n, 5]. | |
| img: an instance of PIL.Image. | |
| size: an integer, size of cutouts. | |
| Returns: | |
| a float numpy array of shape [n, 3, size, size]. | |
| """ | |
| num_boxes = len(bounding_boxes) | |
| width, height = img.size | |
| [dy, edy, dx, edx, y, ey, x, ex, w, h] = correct_bboxes(bounding_boxes, width, height) | |
| img_boxes = np.zeros((num_boxes, 3, size, size), 'float32') | |
| for i in range(num_boxes): | |
| img_box = np.zeros((h[i], w[i], 3), 'uint8') | |
| img_array = np.asarray(img, 'uint8') | |
| img_box[dy[i]:(edy[i] + 1), dx[i]:(edx[i] + 1), :] =\ | |
| img_array[y[i]:(ey[i] + 1), x[i]:(ex[i] + 1), :] | |
| # resize | |
| img_box = Image.fromarray(img_box) | |
| img_box = img_box.resize((size, size), Image.BILINEAR) | |
| img_box = np.asarray(img_box, 'float32') | |
| img_boxes[i, :, :, :] = _preprocess(img_box) | |
| return img_boxes | |
| def correct_bboxes(bboxes, width, height): | |
| """Crop boxes that are too big and get coordinates | |
| with respect to cutouts. | |
| Arguments: | |
| bboxes: a float numpy array of shape [n, 5], | |
| where each row is (xmin, ymin, xmax, ymax, score). | |
| width: a float number. | |
| height: a float number. | |
| Returns: | |
| dy, dx, edy, edx: a int numpy arrays of shape [n], | |
| coordinates of the boxes with respect to the cutouts. | |
| y, x, ey, ex: a int numpy arrays of shape [n], | |
| corrected ymin, xmin, ymax, xmax. | |
| h, w: a int numpy arrays of shape [n], | |
| just heights and widths of boxes. | |
| in the following order: | |
| [dy, edy, dx, edx, y, ey, x, ex, w, h]. | |
| """ | |
| x1, y1, x2, y2 = [bboxes[:, i] for i in range(4)] | |
| w, h = x2 - x1 + 1.0, y2 - y1 + 1.0 | |
| num_boxes = bboxes.shape[0] | |
| # 'e' stands for end | |
| # (x, y) -> (ex, ey) | |
| x, y, ex, ey = x1, y1, x2, y2 | |
| # we need to cut out a box from the image. | |
| # (x, y, ex, ey) are corrected coordinates of the box | |
| # in the image. | |
| # (dx, dy, edx, edy) are coordinates of the box in the cutout | |
| # from the image. | |
| dx, dy = np.zeros((num_boxes,)), np.zeros((num_boxes,)) | |
| edx, edy = w.copy() - 1.0, h.copy() - 1.0 | |
| # if box's bottom right corner is too far right | |
| ind = np.where(ex > width - 1.0)[0] | |
| edx[ind] = w[ind] + width - 2.0 - ex[ind] | |
| ex[ind] = width - 1.0 | |
| # if box's bottom right corner is too low | |
| ind = np.where(ey > height - 1.0)[0] | |
| edy[ind] = h[ind] + height - 2.0 - ey[ind] | |
| ey[ind] = height - 1.0 | |
| # if box's top left corner is too far left | |
| ind = np.where(x < 0.0)[0] | |
| dx[ind] = 0.0 - x[ind] | |
| x[ind] = 0.0 | |
| # if box's top left corner is too high | |
| ind = np.where(y < 0.0)[0] | |
| dy[ind] = 0.0 - y[ind] | |
| y[ind] = 0.0 | |
| return_list = [dy, edy, dx, edx, y, ey, x, ex, w, h] | |
| return_list = [i.astype('int32') for i in return_list] | |
| return return_list | |
| def _preprocess(img): | |
| """Preprocessing step before feeding the network. | |
| Arguments: | |
| img: a float numpy array of shape [h, w, c]. | |
| Returns: | |
| a float numpy array of shape [1, c, h, w]. | |
| """ | |
| img = img.transpose((2, 0, 1)) | |
| img = np.expand_dims(img, 0) | |
| img = (img - 127.5)*0.0078125 | |
| return img | |