文章目录
- 完整代码一览
- 导入库与辅助函数
-
- 1.图像显示函数cv_show
- [2.图像缩放函数 resize](#2.图像缩放函数 resize)
- [3. 坐标排序 order_points](#3. 坐标排序 order_points)
- [4.透视变换 four_point_transform](#4.透视变换 four_point_transform)
- [4.轮廓排序 sort_contours](#4.轮廓排序 sort_contours)
- 5.标准答案
- 主程序流程
完整代码一览
c
import numpy as np
import cv2
def cv_show(name, image):
cv2.imshow(name, image)
cv2.waitKey(0)
def resize(image, width=None, height=None, inter=cv2.INTER_AREA):
dim = None
(h, w) = image.shape[:2]
if width is None and height is None:
return image
if width is None:
r = height / float(h)
dim = (int(w * r), height)
else:
r = width / float(w)
dim = (width, int(h * r))
resized = cv2.resize(image, dim, interpolation=inter)
return resized
def order_points(pts):
rect = np.zeros((4, 2), dtype='float32')
s = pts.sum(axis=1)
rect[0] = pts[np.argmin(s)] # 左上
rect[2] = pts[np.argmax(s)] # 右下
diff = np.diff(pts, axis=1)
rect[1] = pts[np.argmin(diff)] # 右上
rect[3] = pts[np.argmax(diff)] # 左下
return rect
def four_point_transform(image, pts):
rect = order_points(pts)
(tl, tr, br, bl) = rect
widthA = np.sqrt(((br[0] - bl[0]) ** 2) + ((br[1] - bl[1]) ** 2))
widthB = np.sqrt(((tr[0] - tl[0]) ** 2) + ((tr[1] - tl[1]) ** 2))
maxWidth = max(int(widthA), int(widthB))
heightA = np.sqrt(((tr[0] - br[0]) ** 2) + ((tr[1] - br[1]) ** 2))
heightB = np.sqrt(((tl[0] - bl[0]) ** 2) + ((tl[1] - bl[1]) ** 2))
maxHeight = max(int(heightA), int(heightB))
dst = np.array([[0, 0], [maxWidth - 1, 0], [maxWidth - 1, maxHeight - 1], [0, maxHeight - 1]], dtype='float32')
M = cv2.getPerspectiveTransform(rect, dst)
warped = cv2.warpPerspective(image, M, (maxWidth, maxHeight))
return warped
def sort_contours(cnts, method='left-to-right'):
reverse = False
i = 0
if method == 'right-to-left' or method == 'bottom-to-top':
reverse = True
if method == 'top-to-bottom' or method == 'bottom-to-top':
i = 1
boundingBoxes = [cv2.boundingRect(c) for c in cnts]
(cnts, boundingBoxes) = zip(*sorted(zip(cnts, boundingBoxes),
key=lambda b: b[1][i], reverse=reverse))
return cnts, boundingBoxes
ANSWER_KEY = {0: 1, 1: 4, 2: 0, 3: 3, 4: 1} # 5道题的正确答案(0-4对应A-E)
# ---------- 主程序 ----------
image = cv2.imread(r'./images/images/test_01.png')
contours_img = image.copy()
gray = cv2.cvtColor(image, cv2.COLOR_BGR2GRAY)
blurred = cv2.GaussianBlur(gray, ksize=(5, 5), sigmaX=0)
cv_show('blurred', blurred)
edged = cv2.Canny(blurred, threshold1=75, threshold2=200)
cv_show('edged', edged)
cnts = cv2.findContours(edged.copy(), cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)[-2]
cv2.drawContours(contours_img, cnts, -1, (0, 0, 255), 3)
cv_show('contours_img', contours_img)
docCnt = None
cnts = sorted(cnts, key=cv2.contourArea, reverse=True)
for c in cnts:
peri = cv2.arcLength(c, closed=True)
approx = cv2.approxPolyDP(c, 0.02 * peri, closed=True)
if len(approx) == 4:
docCnt = approx
break
warped_t = four_point_transform(image, docCnt.reshape(4, 2))
warped_new = warped_t.copy()
cv_show('warped', warped_t)
warped = cv2.cvtColor(warped_t, cv2.COLOR_BGR2GRAY)
thresh = cv2.threshold(warped, 0, 255, cv2.THRESH_BINARY_INV | cv2.THRESH_OTSU)[1]
cv_show('thresh', thresh)
thresh_Contours = thresh.copy()
cnts = cv2.findContours(thresh, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)[-2]
warped_Contours = cv2.drawContours(warped_t, cnts, -1, (0, 255, 0), 1)
cv_show('warped_Contours', warped_Contours)
questionCnts = []
for c in cnts:
x, y, w, h = cv2.boundingRect(c)
ar = w / float(h)
if w >= 20 and h >= 20 and 0.9 <= ar <= 1.1:
questionCnts.append(c)
print(len(questionCnts))
questionCnts = sort_contours(questionCnts, method="top-to-bottom")[0]
correct = 0
for q, i in enumerate(np.arange(0, len(questionCnts), 5)):
cnts = sort_contours(questionCnts[i:i + 5])[0]
bubbled = None
for j, c in enumerate(cnts):
mask = np.zeros(thresh.shape, dtype="uint8")
cv2.drawContours(mask, [c], -1, 255, -1)
cv_show('mask', mask)
thresh_mask_and = cv2.bitwise_and(thresh, thresh, mask=mask)
cv_show('thresh_mask_and', thresh_mask_and)
total = cv2.countNonZero(thresh_mask_and)
if bubbled is None or total > bubbled[0]:
bubbled = (total, j)
color = (0, 0, 255)
k = ANSWER_KEY[q]
if k == bubbled[1]:
color = (0, 255, 0)
correct += 1
cv2.drawContours(warped_new, [cnts[k]], -1, color, 3)
cv_show('warpping', warped_new)
score = (correct / 5.0) * 100
print("[INFO] score: {:.2f}%".format(score))
cv2.putText(warped_new, "{:.2f}%".format(score), (10, 30),
cv2.FONT_HERSHEY_SIMPLEX, 0.9, (0, 0, 255), 2)
cv2.imshow("Original", image)
cv2.imshow("Exam", warped_new)
cv2.waitKey(0)
导入库与辅助函数
1.图像显示函数cv_show
c
import numpy as np
import cv2
def cv_show(name, image):
cv2.imshow(name, image)
cv2.waitKey(0)
2.图像缩放函数 resize
c
def resize(image, width=None, height=None, inter=cv2.INTER_AREA):
dim = None
(h, w) = image.shape[:2]
if width is None and height is None:
return image
if width is None:
r = height / float(h)
dim = (int(w * r), height)
else:
r = width / float(w)
dim = (width, int(h * r))
resized = cv2.resize(image, dim, interpolation=inter)
return resized
3. 坐标排序 order_points
c
def order_points(pts):
rect = np.zeros((4, 2), dtype='float32')
s = pts.sum(axis=1) # x+y
rect[0] = pts[np.argmin(s)] # 左上角
rect[2] = pts[np.argmax(s)] # 右下角
diff = np.diff(pts, axis=1) # x-y
rect[1] = pts[np.argmin(diff)] # 右上角
rect[3] = pts[np.argmax(diff)] # 左下角
return rect
4.透视变换 four_point_transform
将任意四边形区域通过透视变换拉正为矩形,用于矫正答题卡视角。
c
def four_point_transform(image, pts):
rect = order_points(pts)
(tl, tr, br, bl) = rect
# 计算目标宽度(取上下边距离的最大值)
widthA = np.sqrt(((br[0] - bl[0]) ** 2) + ((br[1] - bl[1]) ** 2))
widthB = np.sqrt(((tr[0] - tl[0]) ** 2) + ((tr[1] - tl[1]) ** 2))
maxWidth = max(int(widthA), int(widthB))
# 计算目标高度(取左右边距离的最大值)
heightA = np.sqrt(((tr[0] - br[0]) ** 2) + ((tr[1] - br[1]) ** 2))
heightB = np.sqrt(((tl[0] - bl[0]) ** 2) + ((tl[1] - bl[1]) ** 2))
maxHeight = max(int(heightA), int(heightB))
# 目标矩形四个点(正视图)
dst = np.array([[0, 0], [maxWidth - 1, 0], [maxWidth - 1, maxHeight - 1], [0, maxHeight - 1]], dtype='float32')
M = cv2.getPerspectiveTransform(rect, dst)
warped = cv2.warpPerspective(image, M, (maxWidth, maxHeight))
return warped
4.轮廓排序 sort_contours
c
def sort_contours(cnts, method='left-to-right'):
reverse = False
i = 0
if method == 'right-to-left' or method == 'bottom-to-top':
reverse = True
if method == 'top-to-bottom' or method == 'bottom-to-top':
i = 1
boundingBoxes = [cv2.boundingRect(c) for c in cnts]
(cnts, boundingBoxes) = zip(*sorted(zip(cnts, boundingBoxes),
key=lambda b: b[1][i], reverse=reverse))
return cnts, boundingBoxes
5.标准答案
5 道题,每道题的正确选项索引(0=A, 1=B, 2=C, 3=D, 4=E)。
c
ANSWER_KEY = {0: 1, 1: 4, 2: 0, 3: 3, 4: 1}
主程序流程
图像预处理
c
image = cv2.imread(r'./images/images/test_01.png')
contours_img = image.copy()
gray = cv2.cvtColor(image, cv2.COLOR_BGR2GRAY)
blurred = cv2.GaussianBlur(gray, ksize=(5, 5), sigmaX=0)
cv_show('blurred', blurred)
edged = cv2.Canny(blurred, threshold1=75, threshold2=200)
cv_show('edged', edged)
先读取图像,转为灰度图,再高斯模糊(5×5 核)降低噪声,避免边缘检测受噪点干扰,最后Canny 边缘检测,阈值 75 和 200 为经验值,可调整。
运行结果:

轮廓检测并筛选最大外轮廓
c
cnts = cv2.findContours(edged.copy(), cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)[-2]
cv2.drawContours(contours_img, cnts, -1, (0, 0, 255), 3)
cv_show('contours_img', contours_img)
docCnt = None
cnts = sorted(cnts, key=cv2.contourArea, reverse=True)
for c in cnts:
peri = cv2.arcLength(c, closed=True)
approx = cv2.approxPolyDP(c, 0.02 * peri, closed=True)
if len(approx) == 4:
docCnt = approx
break
检测所有外层轮廓,绘制出来,同时按面积从大到小排序,遍历轮廓,用多边形近似,找到第一个近似为四边形(4 个顶点)的轮廓,即为答题卡外框。
运行结果:

透视矫正与二值化
c
warped_t = four_point_transform(image, docCnt.reshape(4, 2))
warped_new = warped_t.copy()
cv_show('warped', warped_t)
warped = cv2.cvtColor(warped_t, cv2.COLOR_BGR2GRAY)
thresh = cv2.threshold(warped, 0, 255, cv2.THRESH_BINARY_INV | cv2.THRESH_OTSU)[1]
cv_show('thresh', thresh)
将答题卡区域拉正为矩形,转为灰度图,然后使用 OTSU 自动阈值二值化,并反转(BINARY_INV),使选项涂黑区域变为白色(方便统计白色像素),背景为黑色。
运行结果:

提取所有圆形选项轮廓并排序
c
cnts = cv2.findContours(thresh, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)[-2]
warped_Contours = cv2.drawContours(warped_t, cnts, -1, (0, 255, 0), 1)
cv_show('warped_Contours', warped_Contours)
questionCnts = []
for c in cnts:
x, y, w, h = cv2.boundingRect(c)
ar = w / float(h)
if w >= 20 and h >= 20 and 0.9 <= ar <= 1.1:
questionCnts.append(c)
print(len(questionCnts))
questionCnts = sort_contours(questionCnts, method="top-to-bottom")[0]
在二值图上再次检测轮廓,得到所有白色区域(即被涂黑的选项)。过滤条件:外接矩形宽高不小于 20 像素,且长宽比接近 1:1(圆形选项),筛选出所有有效选项轮廓。按从上到下排序所有选项轮廓。
运行结果:

标记正误
c
correct = 0
for q, i in enumerate(np.arange(0, len(questionCnts), 5)):
cnts = sort_contours(questionCnts[i:i + 5])[0]
bubbled = None
for j, c in enumerate(cnts):
mask = np.zeros(thresh.shape, dtype="uint8")
cv2.drawContours(mask, [c], -1, 255, -1)
cv_show('mask', mask)
thresh_mask_and = cv2.bitwise_and(thresh, thresh, mask=mask)
cv_show('thresh_mask_and', thresh_mask_and)
total = cv2.countNonZero(thresh_mask_and)
if bubbled is None or total > bubbled[0]:
bubbled = (total, j)
color = (0, 0, 255)
k = ANSWER_KEY[q]
if k == bubbled[1]:
color = (0, 255, 0)
correct += 1
cv2.drawContours(warped_new, [cnts[k]], -1, color, 3)
cv_show('warpping', warped_new)
遍历每 5 个轮廓(即一道题),对这 5 个轮廓按从左到右排序,对每个选项创建掩码,与二值图做按位与,统计白色像素数(即涂黑面积)。
选出面积最大的选项作为考生的答案,记录其索引 j,与标准答案对比:若正确,用绿色框标记,否则红色框。
运行结果:

打印正确率并批注
c
score = (correct / 5.0) * 100
print("[INFO] score: {:.2f}%".format(score))
cv2.putText(warped_new, "{:.2f}%".format(score), (10, 30),
cv2.FONT_HERSHEY_SIMPLEX, 0.9, (0, 0, 255), 2)
cv2.imshow("Exam", warped_new)
cv2.waitKey(0)
在矫正后的答题卡图像左上角打印分数。
运行结果:
