原文：Data Augmentation in SSD (Single Shot Detector) - 2018.06.28

作者研究了 single shot 目标检测器 SSD: Single Shot MultiBox Detector 如何取得了比 Faster R-CNN 更佳的 mAP，且计算复杂度明显减少，实时运行效果更快. 这里将详细描述 SSD 所采用的数据增强策略. 根据论文所述，其数据增强策略取得了 8.8% 的 mAP 提升.

数据增强对于小目标检测的精度提升尤其重要，因为其对图像进行缩放(zoom)，使得分类器能够识别更多图片中的目标物体. 数据增强对于图像中出现被遮挡物体(occluded objects)的处理，也很重要，通过对训练数据中的图像进行裁剪，使得只有部分物体是可见的.

1. 数据增强流程

采用的数据增强处理流程步骤如下：

• 光度变形(Photometric Distortions)

• 几何变换(Geometric Distortions)

  • 图像扩展(ExpandImage)
  • 随机裁剪(RandomCrop)
  • 随机镜像(RandomMirror)

下面会详细介绍这些数据增强(包括相应的代码实现片段). 其中，每一数据变换都是概率随机的(一般 probability=0.5). 因此，不同的训练次数采用的是数据增强后的不同图像数据.

Github - amdegroot/ssd.pytorch

2. 光度变形(Photometric Distortions)

2.1. 随机调整亮度(Random Brightness)

以 probability=0.5 的 随机概率，随机对图像每个像素添加一个值，该添加值是从 [-delat, delta] 中随机选取的. 默认的 delta 值是 32.

def __call__(self, image, boxes=None, labels=None):
    if random.randint(2):
        delta = random.uniform(-self.delta, self.delta)
        image += delta
    return image, boxes, labels

2.2. 随机调整对比度(Contrast), 色相(Hue) 和饱和度(Saturation)

亮度(Brightness)调整后，进行对比度，色相和饱和度的随机变换. 其顺序是随机的. 有两种选择，首先对比度处理，然后色相和饱和度；或者首先色相和饱和度处理，然后对比度处理. 每种选择都是随机的，probability=0.5.

self.pd = [RandomContrast(),
                ConvertColor(transform='HSV'),
                RandomSaturation(),
                RandomHue(),
                ConvertColor(current='HSV', transform='BGR'),
                RandomContrast() ]

im, boxes, labels = self.rand_brightness(im, boxes, labels)
        if random.randint(2):
            distort = Compose(self.pd[:-1])
        else:
            distort = Compose(self.pd[1:])
im, boxes, labels = distort(im, boxes, labels)

其中，对比度是在 RGB 空间处理，色相和饱和度是在 HSV 空间. 因此，在进行每一步操作前需要先作对应的颜色空间转换. 对比度，色相和饱和度的调整类似于亮度调整，都是 probability=0.5 的随机进行. 通过随机在一个上界和下界区间内选择形变的值. 例如，饱和度调整：

def __call__(self, image, boxes=None, labels=None):
    if random.randint(2):
        image[:, :, 1] *= random.uniform(self.lower, self.upper)

    return image, boxes, labels

2.3. 随机光照噪声(RandomLightingNoise)

最后一种光度形变是随机光照噪声. 其包括随机颜色通道交换(color channel swap). 颜色变换定义为：

self.perms = ((0, 1, 2), (0, 2, 1),
              (1, 0, 2), (1, 2, 0),
              (2, 0, 1), (2, 1, 0))

对于 RGB 图像，颜色通道变换(0 2 1) 则交换 green 和 blue 通道，保持 red 通道不变.

3. 几何变换

光度调整只会改变图像像素，而不会改变图像的尺寸大小. 而几何变换则会对图像尺寸和维度进行调整.

3.1. 随机扩展(RandomExpand)

3.2. 随机裁剪(RandomCrop)

随机裁剪是对 ExpandImage 得到的图像裁剪出其中的一部分图像块，并确保该图像块至少一个 groundtruth box 有重叠，至少一个 groundtruth box 的中心(centroid) 位于该图像块中. 这样就可以避免不包含明显的前景目标的图像块不用于网络训练(只有包含明显的前景目标的图像块采用于网络训练.) 同时，保证只有部分前景目标可见的图片用于网络训练.

例如，下面图像中，Groundtruth box 表示为红色，裁剪的图像块表示为绿色. 由于是随机裁剪，因此有些图像是包含扩展的画布，有些则不包含.

3.3. 随机镜像(RandomMirror)

最后一步数据增强是随机镜像. 其仅是图像的左右翻转.在很多目标检测和图像分类张总均有采用.

最后，类似于其它目标检测和图像分类任务，图像为 resize 到 300x300，groundtruth 坐标进行相应调整；并对图像进行归一化和减均值处理. 完整的数据增强脚本 - augmentations.py.

import torch
from torchvision import transforms
import cv2
import numpy as np
import types
from numpy import random


def intersect(box_a, box_b):
    max_xy = np.minimum(box_a[:, 2:], box_b[2:])
    min_xy = np.maximum(box_a[:, :2], box_b[:2])
    inter = np.clip((max_xy - min_xy), a_min=0, a_max=np.inf)
    return inter[:, 0] * inter[:, 1]


def jaccard_numpy(box_a, box_b):
    """Compute the jaccard overlap of two sets of boxes.  The jaccard overlap
    is simply the intersection over union of two boxes.
    E.g.:
        A ∩ B / A ∪ B = A ∩ B / (area(A) + area(B) - A ∩ B)
    Args:
        box_a: Multiple bounding boxes, Shape: [num_boxes,4]
        box_b: Single bounding box, Shape: [4]
    Return:
        jaccard overlap: Shape: [box_a.shape[0], box_a.shape[1]]
    """
    inter = intersect(box_a, box_b)
    area_a = ((box_a[:, 2]-box_a[:, 0]) *
              (box_a[:, 3]-box_a[:, 1]))  # [A,B]
    area_b = ((box_b[2]-box_b[0]) *
              (box_b[3]-box_b[1]))  # [A,B]
    union = area_a + area_b - inter
    return inter / union  # [A,B]


class Compose(object):
    """Composes several augmentations together.
    Args:
        transforms (List[Transform]): list of transforms to compose.
    Example:
        >>> augmentations.Compose([
        >>>     transforms.CenterCrop(10),
        >>>     transforms.ToTensor(),
        >>> ])
    """

    def __init__(self, transforms):
        self.transforms = transforms

    def __call__(self, img, boxes=None, labels=None):
        for t in self.transforms:
            img, boxes, labels = t(img, boxes, labels)
        return img, boxes, labels


class Lambda(object):
    """Applies a lambda as a transform."""

    def __init__(self, lambd):
        assert isinstance(lambd, types.LambdaType)
        self.lambd = lambd

    def __call__(self, img, boxes=None, labels=None):
        return self.lambd(img, boxes, labels)


class ConvertFromInts(object):
    def __call__(self, image, boxes=None, labels=None):
        return image.astype(np.float32), boxes, labels


class SubtractMeans(object):
    def __init__(self, mean):
        self.mean = np.array(mean, dtype=np.float32)

    def __call__(self, image, boxes=None, labels=None):
        image = image.astype(np.float32)
        image -= self.mean
        return image.astype(np.float32), boxes, labels


class ToAbsoluteCoords(object):
    def __call__(self, image, boxes=None, labels=None):
        height, width, channels = image.shape
        boxes[:, 0] *= width
        boxes[:, 2] *= width
        boxes[:, 1] *= height
        boxes[:, 3] *= height

        return image, boxes, labels


class ToPercentCoords(object):
    def __call__(self, image, boxes=None, labels=None):
        height, width, channels = image.shape
        boxes[:, 0] /= width
        boxes[:, 2] /= width
        boxes[:, 1] /= height
        boxes[:, 3] /= height

        return image, boxes, labels


class Resize(object):
    def __init__(self, size=300):
        self.size = size

    def __call__(self, image, boxes=None, labels=None):
        image = cv2.resize(image, (self.size,
                                 self.size))
        return image, boxes, labels


class RandomSaturation(object):
    def __init__(self, lower=0.5, upper=1.5):
        self.lower = lower
        self.upper = upper
        assert self.upper >= self.lower, "contrast upper must be >= lower."
        assert self.lower >= 0, "contrast lower must be non-negative."

    def __call__(self, image, boxes=None, labels=None):
        if random.randint(2):
            image[:, :, 1] *= random.uniform(self.lower, self.upper)

        return image, boxes, labels


class RandomHue(object):
    def __init__(self, delta=18.0):
        assert delta >= 0.0 and delta <= 360.0
        self.delta = delta

    def __call__(self, image, boxes=None, labels=None):
        if random.randint(2):
            image[:, :, 0] += random.uniform(-self.delta, self.delta)
            image[:, :, 0][image[:, :, 0] > 360.0] -= 360.0
            image[:, :, 0][image[:, :, 0] < 0.0] += 360.0
        return image, boxes, labels


class RandomLightingNoise(object):
    def __init__(self):
        self.perms = ((0, 1, 2), (0, 2, 1),
                      (1, 0, 2), (1, 2, 0),
                      (2, 0, 1), (2, 1, 0))

    def __call__(self, image, boxes=None, labels=None):
        if random.randint(2):
            swap = self.perms[random.randint(len(self.perms))]
            shuffle = SwapChannels(swap)  # shuffle channels
            image = shuffle(image)
        return image, boxes, labels


class ConvertColor(object):
    def __init__(self, current='BGR', transform='HSV'):
        self.transform = transform
        self.current = current

    def __call__(self, image, boxes=None, labels=None):
        if self.current == 'BGR' and self.transform == 'HSV':
            image = cv2.cvtColor(image, cv2.COLOR_BGR2HSV)
        elif self.current == 'HSV' and self.transform == 'BGR':
            image = cv2.cvtColor(image, cv2.COLOR_HSV2BGR)
        else:
            raise NotImplementedError
        return image, boxes, labels


class RandomContrast(object):
    def __init__(self, lower=0.5, upper=1.5):
        self.lower = lower
        self.upper = upper
        assert self.upper >= self.lower, "contrast upper must be >= lower."
        assert self.lower >= 0, "contrast lower must be non-negative."

    # expects float image
    def __call__(self, image, boxes=None, labels=None):
        if random.randint(2):
            alpha = random.uniform(self.lower, self.upper)
            image *= alpha
        return image, boxes, labels


class RandomBrightness(object):
    def __init__(self, delta=32):
        assert delta >= 0.0
        assert delta <= 255.0
        self.delta = delta

    def __call__(self, image, boxes=None, labels=None):
        if random.randint(2):
            delta = random.uniform(-self.delta, self.delta)
            image += delta
        return image, boxes, labels


class ToCV2Image(object):
    def __call__(self, tensor, boxes=None, labels=None):
        return tensor.cpu().numpy().astype(np.float32).transpose((1, 2, 0)), boxes, labels


class ToTensor(object):
    def __call__(self, cvimage, boxes=None, labels=None):
        return torch.from_numpy(cvimage.astype(np.float32)).permute(2, 0, 1), boxes, labels


class RandomSampleCrop(object):
    """Crop
    Arguments:
        img (Image): the image being input during training
        boxes (Tensor): the original bounding boxes in pt form
        labels (Tensor): the class labels for each bbox
        mode (float tuple): the min and max jaccard overlaps
    Return:
        (img, boxes, classes)
            img (Image): the cropped image
            boxes (Tensor): the adjusted bounding boxes in pt form
            labels (Tensor): the class labels for each bbox
    """
    def __init__(self):
        self.sample_options = (
            # using entire original input image
            None,
            # sample a patch s.t. MIN jaccard w/ obj in .1,.3,.4,.7,.9
            (0.1, None),
            (0.3, None),
            (0.7, None),
            (0.9, None),
            # randomly sample a patch
            (None, None),
        )

    def __call__(self, image, boxes=None, labels=None):
        height, width, _ = image.shape
        while True:
            # randomly choose a mode
            mode = random.choice(self.sample_options)
            if mode is None:
                return image, boxes, labels

            min_iou, max_iou = mode
            if min_iou is None:
                min_iou = float('-inf')
            if max_iou is None:
                max_iou = float('inf')

            # max trails (50)
            for _ in range(50):
                current_image = image

                w = random.uniform(0.3 * width, width)
                h = random.uniform(0.3 * height, height)

                # aspect ratio constraint b/t .5 & 2
                if h / w < 0.5 or h / w > 2:
                    continue

                left = random.uniform(width - w)
                top = random.uniform(height - h)

                # convert to integer rect x1,y1,x2,y2
                rect = np.array([int(left), int(top), int(left+w), int(top+h)])

                # calculate IoU (jaccard overlap) b/t the cropped and gt boxes
                overlap = jaccard_numpy(boxes, rect)

                # is min and max overlap constraint satisfied? if not try again
                if overlap.min() < min_iou and max_iou < overlap.max():
                    continue

                # cut the crop from the image
                current_image = current_image[rect[1]:rect[3], rect[0]:rect[2],
                                              :]

                # keep overlap with gt box IF center in sampled patch
                centers = (boxes[:, :2] + boxes[:, 2:]) / 2.0

                # mask in all gt boxes that above and to the left of centers
                m1 = (rect[0] < centers[:, 0]) * (rect[1] < centers[:, 1])

                # mask in all gt boxes that under and to the right of centers
                m2 = (rect[2] > centers[:, 0]) * (rect[3] > centers[:, 1])

                # mask in that both m1 and m2 are true
                mask = m1 * m2

                # have any valid boxes? try again if not
                if not mask.any():
                    continue

                # take only matching gt boxes
                current_boxes = boxes[mask, :].copy()

                # take only matching gt labels
                current_labels = labels[mask]

                # should we use the box left and top corner or the crop's
                current_boxes[:, :2] = np.maximum(current_boxes[:, :2],
                                                  rect[:2])
                # adjust to crop (by substracting crop's left,top)
                current_boxes[:, :2] -= rect[:2]

                current_boxes[:, 2:] = np.minimum(current_boxes[:, 2:],
                                                  rect[2:])
                # adjust to crop (by substracting crop's left,top)
                current_boxes[:, 2:] -= rect[:2]

                return current_image, current_boxes, current_labels


class Expand(object):
    def __init__(self, mean):
        self.mean = mean

    def __call__(self, image, boxes, labels):
        if random.randint(2):
            return image, boxes, labels

        height, width, depth = image.shape
        ratio = random.uniform(1, 4)
        left = random.uniform(0, width*ratio - width)
        top = random.uniform(0, height*ratio - height)

        expand_image = np.zeros(
            (int(height*ratio), int(width*ratio), depth),
            dtype=image.dtype)
        expand_image[:, :, :] = self.mean
        expand_image[int(top):int(top + height),
                     int(left):int(left + width)] = image
        image = expand_image

        boxes = boxes.copy()
        boxes[:, :2] += (int(left), int(top))
        boxes[:, 2:] += (int(left), int(top))

        return image, boxes, labels


class RandomMirror(object):
    def __call__(self, image, boxes, classes):
        _, width, _ = image.shape
        if random.randint(2):
            image = image[:, ::-1]
            boxes = boxes.copy()
            boxes[:, 0::2] = width - boxes[:, 2::-2]
        return image, boxes, classes


class SwapChannels(object):
    """Transforms a tensorized image by swapping the channels in the order
     specified in the swap tuple.
    Args:
        swaps (int triple): final order of channels
            eg: (2, 1, 0)
    """

    def __init__(self, swaps):
        self.swaps = swaps

    def __call__(self, image):
        """
        Args:
            image (Tensor): image tensor to be transformed
        Return:
            a tensor with channels swapped according to swap
        """
        # if torch.is_tensor(image):
        #     image = image.data.cpu().numpy()
        # else:
        #     image = np.array(image)
        image = image[:, :, self.swaps]
        return image


class PhotometricDistort(object):
    def __init__(self):
        self.pd = [
            RandomContrast(),
            ConvertColor(transform='HSV'),
            RandomSaturation(),
            RandomHue(),
            ConvertColor(current='HSV', transform='BGR'),
            RandomContrast()
        ]
        self.rand_brightness = RandomBrightness()
        self.rand_light_noise = RandomLightingNoise()

    def __call__(self, image, boxes, labels):
        im = image.copy()
        im, boxes, labels = self.rand_brightness(im, boxes, labels)
        if random.randint(2):
            distort = Compose(self.pd[:-1])
        else:
            distort = Compose(self.pd[1:])
        im, boxes, labels = distort(im, boxes, labels)
        return self.rand_light_noise(im, boxes, labels)


class SSDAugmentation(object):
    def __init__(self, size=300, mean=(104, 117, 123)):
        self.mean = mean
        self.size = size
        self.augment = Compose([
            ConvertFromInts(),
            ToAbsoluteCoords(),
            PhotometricDistort(),
            Expand(self.mean),
            RandomSampleCrop(),
            RandomMirror(),
            ToPercentCoords(),
            Resize(self.size),
            SubtractMeans(self.mean)
        ])

    def __call__(self, img, boxes, labels):
        return self.augment(img, boxes, labels)