YOLOv2中anchors的计算方法

介绍

YOLOv2作者说 anchors 是使用 K-MEANS 计算得出的,计算出哪种长宽的框比较多,使用这样 长宽 的 anchors 可以加快收敛速度

YOLOv2 vs YOLOv3

YOLOv2 的anchor大小

作者用最后一层feature map的相对大小来定义anchor大小。
也就是说,在YOLOv2中的神经网络,最后一层feature map大小为 13X13(不同的神经网络,最后的feature map大小不一样的),那么anchor大小范围就在(0x0,13x13]。

如果一个anchor大小是9x9,那么其在原图上的实际大小是288x288。

YOLOv3 的anchor大小

在 YOLOv3 中,作者改用 输入图片的大小 来定义anchor,anchor的大小为(0x0,input_w x input_h]。

所以,在YOLOv2 和 YOLOv3 的 cfg文件中,anchor的大小有明显的区别。

代码

根据 https://github.com/lars76/kmeans-anchor-boxes 工程修改

example.py

修改下面常量:
  • ANNOTATIONS_PATH:xml文件路径
  • CLUSTERS:计算得出的 anchors 数量,YOLOv2用5个anchor,所以是5
修改13:
print("Boxes:\n {}".format(out*13))
  • 如果是YOLOv2,archors大小是根据最后一层的feature map大小计算的(YOLOv2 默认最后一层的feature map大小是13,所以这里 乘以 13)
    在具体操作时,要根据神经网络的最后一层的feature map大小来设置

  • 如果是YOLOv3,archors大小是根据输入图片的大小计算的,这里要改成输入图片的大小

import glob
import xml.etree.ElementTree as ET

import numpy as np

from kmeans import kmeans, avg_iou

ANNOTATIONS_PATH = "/Users/mym/Desktop/ai/yolov2-tf2/data/train/annotation"
CLUSTERS = 5

def load_dataset(path):
    dataset = []
    for xml_file in glob.glob("{}/*xml".format(path)):
        tree = ET.parse(xml_file)

        height = int(tree.findtext("./size/height"))
        width = int(tree.findtext("./size/width"))

        for obj in tree.iter("object"):
            xmin = int(obj.findtext("bndbox/xmin")) / width
            ymin = int(obj.findtext("bndbox/ymin")) / height
            xmax = int(obj.findtext("bndbox/xmax")) / width
            ymax = int(obj.findtext("bndbox/ymax")) / height

            dataset.append([xmax - xmin, ymax - ymin])

    return np.array(dataset)


data = load_dataset(ANNOTATIONS_PATH)
out = kmeans(data, k=CLUSTERS)
print("Accuracy: {:.2f}%".format(avg_iou(data, out) * 100))
print("Boxes:\n {}".format(out*13))

ratios = np.around(out[:, 0] / out[:, 1], decimals=2).tolist()
print("Ratios:\n {}".format(sorted(ratios)))

执行结果如下:

Accuracy: 62.08%
Boxes:
 [[0.46875  0.40625 ]
 [4.90625  5.109375]
 [2.59375  3.046875]
 [1.25     1.28125 ]
 [0.8125   0.59375 ]]
Ratios:
 [0.85, 0.96, 0.98, 1.15, 1.37]

kmeans.py

kmeans.py算法实现,不需要改动

import numpy as np


def iou(box, clusters):
    """
    Calculates the Intersection over Union (IoU) between a box and k clusters.
    :param box: tuple or array, shifted to the origin (i. e. width and height)
    :param clusters: numpy array of shape (k, 2) where k is the number of clusters
    :return: numpy array of shape (k, 0) where k is the number of clusters
    """
    x = np.minimum(clusters[:, 0], box[0])
    y = np.minimum(clusters[:, 1], box[1])
    if np.count_nonzero(x == 0) > 0 or np.count_nonzero(y == 0) > 0:
        raise ValueError("Box has no area")

    intersection = x * y
    box_area = box[0] * box[1]
    cluster_area = clusters[:, 0] * clusters[:, 1]

    iou_ = intersection / (box_area + cluster_area - intersection)

    return iou_


def avg_iou(boxes, clusters):
    """
    Calculates the average Intersection over Union (IoU) between a numpy array of boxes and k clusters.
    :param boxes: numpy array of shape (r, 2), where r is the number of rows
    :param clusters: numpy array of shape (k, 2) where k is the number of clusters
    :return: average IoU as a single float
    """
    return np.mean([np.max(iou(boxes[i], clusters)) for i in range(boxes.shape[0])])


def translate_boxes(boxes):
    """
    Translates all the boxes to the origin.
    :param boxes: numpy array of shape (r, 4)
    :return: numpy array of shape (r, 2)
    """
    new_boxes = boxes.copy()
    for row in range(new_boxes.shape[0]):
        new_boxes[row][2] = np.abs(new_boxes[row][2] - new_boxes[row][0])
        new_boxes[row][3] = np.abs(new_boxes[row][3] - new_boxes[row][1])
    return np.delete(new_boxes, [0, 1], axis=1)


def kmeans(boxes, k, dist=np.median):
    """
    Calculates k-means clustering with the Intersection over Union (IoU) metric.
    :param boxes: numpy array of shape (r, 2), where r is the number of rows
    :param k: number of clusters
    :param dist: distance function
    :return: numpy array of shape (k, 2)
    """
    rows = boxes.shape[0]

    distances = np.empty((rows, k))
    last_clusters = np.zeros((rows,))

    np.random.seed()

    # the Forgy method will fail if the whole array contains the same rows
    clusters = boxes[np.random.choice(rows, k, replace=False)]

    while True:
        for row in range(rows):
            distances[row] = 1 - iou(boxes[row], clusters)

        nearest_clusters = np.argmin(distances, axis=1)

        if (last_clusters == nearest_clusters).all():
            break

        for cluster in range(k):
            clusters[cluster] = dist(boxes[nearest_clusters == cluster], axis=0)

        last_clusters = nearest_clusters

    return clusters

感谢:
https://blog.csdn.net/m_buddy/article/details/82926024