首先，对帖子的长度表示抱歉。
我正在开展一个根据叶子图像对植物进行分类的项目。为了减少数据的方差，我需要旋转图像，以便茎在图像底部水平对齐（270 度）。
到目前为止我在哪里...
到目前为止，我所做的是创建一个阈值图像，然后从那里找到轮廓并在对象周围绘制一个椭圆（在许多情况下，它无法涉及整个对象，因此茎被遗漏......），之后，我创建 4 个区域（带有椭圆的边缘）并尝试计算最小值区域，这是由于假设在任何一点都必须找到茎，因此它将是人口较少的区域（主要是因为它将被 0 包围），这显然不能像我希望的那样工作。
之后，我以两种不同的方式计算旋转角度，第一种方式涉及atan2函数，这只需要我想要移动的点（人口最少区域的质心）以及在哪里x=image width / 2 and y = height。这种方法在某些情况下有效，但在大多数情况下，我没有得到所需的角度，有时需要负角度，但它会产生正角度，最终使茎位于顶部。在其他一些情况下，它只是以一种可怕的方式失败。
我的第二种方法是尝试根据 3 个点计算角度：图像中心、人口最少区域的质心和 270° 点。然后使用arccos函数，并将其结果转换为度数。
这两种方法对我来说都失败了。
问题
这是一些示例和我得到的结果（二进制掩码）。矩形表示我正在比较的区域，穿过椭圆的红线是椭圆的长轴，粉红色圆圈是最小区域内的质心，红色圆圈表示 270° 参考点（对于角度） ，白点代表图像的中心。
我当前的解决方案
def brightness_distortion(I, mu, sigma):
return np.sum(I*mu/sigma**2, axis=-1) / np.sum((mu/sigma)**2, axis=-1)
def chromacity_distortion(I, mu, sigma):
alpha = brightness_distortion(I, mu, sigma)[...,None]
return np.sqrt(np.sum(((I - alpha * mu)/sigma)**2, axis=-1))
def bwareafilt ( image ):
image = image.astype(np.uint8)
nb_components, output, stats, centroids = cv2.connectedComponentsWithStats(image, connectivity=4)
sizes = stats[:, -1]
max_label = 1
max_size = sizes[1]
for i in range(2, nb_components):
if sizes[i] > max_size:
max_label = i
max_size = sizes[i]
img2 = np.zeros(output.shape)
img2[output == max_label] = 255
return img2
def get_thresholded_rotated(im_path):
#read image
img = cv2.imread(im_path)
img = cv2.resize(img, (600, 800), interpolation = Image.BILINEAR)
sat = cv2.cvtColor(img, cv2.COLOR_BGR2HSV)[:,:,1]
val = cv2.cvtColor(img, cv2.COLOR_BGR2HSV)[:,:,2]
sat = cv2.medianBlur(sat, 11)
val = cv2.medianBlur(val, 11)
#create threshold
thresh_S = cv2.adaptiveThreshold(sat , 255, cv2.ADAPTIVE_THRESH_MEAN_C, cv2.THRESH_BINARY, 401, 10);
thresh_V = cv2.adaptiveThreshold(val , 255, cv2.ADAPTIVE_THRESH_MEAN_C, cv2.THRESH_BINARY, 401, 10);
#mean, std
mean_S, stdev_S = cv2.meanStdDev(img, mask = 255 - thresh_S)
mean_S = mean_S.ravel().flatten()
stdev_S = stdev_S.ravel()
#chromacity
chrom_S = chromacity_distortion(img, mean_S, stdev_S)
chrom255_S = cv2.normalize(chrom_S, chrom_S, alpha=0, beta=255, norm_type=cv2.NORM_MINMAX).astype(np.uint8)[:,:,None]
mean_V, stdev_V = cv2.meanStdDev(img, mask = 255 - thresh_V)
mean_V = mean_V.ravel().flatten()
stdev_V = stdev_V.ravel()
chrom_V = chromacity_distortion(img, mean_V, stdev_V)
chrom255_V = cv2.normalize(chrom_V, chrom_V, alpha=0, beta=255, norm_type=cv2.NORM_MINMAX).astype(np.uint8)[:,:,None]
#create different thresholds
thresh2_S = cv2.adaptiveThreshold(chrom255_S , 255, cv2.ADAPTIVE_THRESH_MEAN_C, cv2.THRESH_BINARY, 401, 10);
thresh2_V = cv2.adaptiveThreshold(chrom255_V , 255, cv2.ADAPTIVE_THRESH_MEAN_C, cv2.THRESH_BINARY, 401, 10);
#thresholded image
thresh = cv2.bitwise_and(thresh2_S, cv2.bitwise_not(thresh2_V))
#find countours and keep max
contours = cv2.findContours(thresh, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)
contours = contours[0] if len(contours) == 2 else contours[1]
big_contour = max(contours, key=cv2.contourArea)
# fit ellipse to leaf contours
ellipse = cv2.fitEllipse(big_contour)
(xc,yc), (d1,d2), angle = ellipse
print('thresh shape: ', thresh.shape)
#print(xc,yc,d1,d2,angle)
rmajor = max(d1,d2)/2
rminor = min(d1,d2)/2
origi_angle = angle
if angle > 90:
angle = angle - 90
else:
angle = angle + 90
#calc major axis line
xtop = xc + math.cos(math.radians(angle))*rmajor
ytop = yc + math.sin(math.radians(angle))*rmajor
xbot = xc + math.cos(math.radians(angle+180))*rmajor
ybot = yc + math.sin(math.radians(angle+180))*rmajor
#calc minor axis line
xtop_m = xc + math.cos(math.radians(origi_angle))*rminor
ytop_m = yc + math.sin(math.radians(origi_angle))*rminor
xbot_m = xc + math.cos(math.radians(origi_angle+180))*rminor
ybot_m = yc + math.sin(math.radians(origi_angle+180))*rminor
#determine which region is up and which is down
if max(xtop, xbot) == xtop :
x_tij = xtop
y_tij = ytop
x_b_tij = xbot
y_b_tij = ybot
else:
x_tij = xbot
y_tij = ybot
x_b_tij = xtop
y_b_tij = ytop
if max(xtop_m, xbot_m) == xtop_m :
x_tij_m = xtop_m
y_tij_m = ytop_m
x_b_tij_m = xbot_m
y_b_tij_m = ybot_m
else:
x_tij_m = xbot_m
y_tij_m = ybot_m
x_b_tij_m = xtop_m
y_b_tij_m = ytop_m
print('-----')
print(x_tij, y_tij)
rect_size = 100
"""
calculate regions of edges of major axis of ellipse
this is done by creating a squared region of rect_size x rect_size, being the edge the center of the square
"""
x_min_tij = int(0 if x_tij - rect_size < 0 else x_tij - rect_size)
x_max_tij = int(thresh.shape[1]-1 if x_tij + rect_size > thresh.shape[1] else x_tij + rect_size)
y_min_tij = int(0 if y_tij - rect_size < 0 else y_tij - rect_size)
y_max_tij = int(thresh.shape[0] - 1 if y_tij + rect_size > thresh.shape[0] else y_tij + rect_size)
x_b_min_tij = int(0 if x_b_tij - rect_size < 0 else x_b_tij - rect_size)
x_b_max_tij = int(thresh.shape[1] - 1 if x_b_tij + rect_size > thresh.shape[1] else x_b_tij + rect_size)
y_b_min_tij = int(0 if y_b_tij - rect_size < 0 else y_b_tij - rect_size)
y_b_max_tij = int(thresh.shape[0] - 1 if y_b_tij + rect_size > thresh.shape[0] else y_b_tij + rect_size)
sum_red_region = np.sum(thresh[y_min_tij:y_max_tij, x_min_tij:x_max_tij])
sum_yellow_region = np.sum(thresh[y_b_min_tij:y_b_max_tij, x_b_min_tij:x_b_max_tij])
"""
calculate regions of edges of minor axis of ellipse
this is done by creating a squared region of rect_size x rect_size, being the edge the center of the square
"""
x_min_tij_m = int(0 if x_tij_m - rect_size < 0 else x_tij_m - rect_size)
x_max_tij_m = int(thresh.shape[1]-1 if x_tij_m + rect_size > thresh.shape[1] else x_tij_m + rect_size)
y_min_tij_m = int(0 if y_tij_m - rect_size < 0 else y_tij_m - rect_size)
y_max_tij_m = int(thresh.shape[0] - 1 if y_tij_m + rect_size > thresh.shape[0] else y_tij_m + rect_size)
x_b_min_tij_m = int(0 if x_b_tij_m - rect_size < 0 else x_b_tij_m - rect_size)
x_b_max_tij_m = int(thresh.shape[1] - 1 if x_b_tij_m + rect_size > thresh.shape[1] else x_b_tij_m + rect_size)
y_b_min_tij_m = int(0 if y_b_tij_m - rect_size < 0 else y_b_tij_m - rect_size)
y_b_max_tij_m = int(thresh.shape[0] - 1 if y_b_tij_m + rect_size > thresh.shape[0] else y_b_tij_m + rect_size)
#value of the regions, the names of the variables are related to the color of the rectangles drawn at the end of the function
sum_red_region_m = np.sum(thresh[y_min_tij_m:y_max_tij_m, x_min_tij_m:x_max_tij_m])
sum_yellow_region_m = np.sum(thresh[y_b_min_tij_m:y_b_max_tij_m, x_b_min_tij_m:x_b_max_tij_m])
#print(sum_red_region, sum_yellow_region, sum_red_region_m, sum_yellow_region_m)
min_arg = np.argmin(np.array([sum_red_region, sum_yellow_region, sum_red_region_m, sum_yellow_region_m]))
print('min: ', min_arg)
if min_arg == 1: #sum_yellow_region < sum_red_region :
left_quartile = x_b_tij < thresh.shape[0] /2
upper_quartile = y_b_tij < thresh.shape[1] /2
center_x = x_b_min_tij + ((x_b_max_tij - x_b_min_tij) / 2)
center_y = y_b_min_tij + (y_b_max_tij - y_b_min_tij / 2)
center_x = x_b_min_tij + np.argmax(thresh[y_b_min_tij:y_b_max_tij, x_b_min_tij:x_b_max_tij].mean(axis=0))
center_y = y_b_min_tij + np.argmax(thresh[y_b_min_tij:y_b_max_tij, x_b_min_tij:x_b_max_tij].mean(axis=1))
elif min_arg == 0:
left_quartile = x_tij < thresh.shape[0] /2
upper_quartile = y_tij < thresh.shape[1] /2
center_x = x_min_tij + ((x_b_max_tij - x_b_min_tij) / 2)
center_y = y_min_tij + ((y_b_max_tij - y_b_min_tij) / 2)
center_x = x_min_tij + np.argmax(thresh[y_min_tij:y_max_tij, x_min_tij:x_max_tij].mean(axis=0))
center_y = y_min_tij + np.argmax(thresh[y_min_tij:y_max_tij, x_min_tij:x_max_tij].mean(axis=1))
elif min_arg == 3:
left_quartile = x_b_tij_m < thresh.shape[0] /2
upper_quartile = y_b_tij_m < thresh.shape[1] /2
center_x = x_b_min_tij_m + ((x_b_max_tij_m - x_b_min_tij_m) / 2)
center_y = y_b_min_tij_m + (y_b_max_tij_m - y_b_min_tij_m / 2)
center_x = x_b_min_tij_m + np.argmax(thresh[y_b_min_tij_m:y_b_max_tij_m, x_b_min_tij_m:x_b_max_tij_m].mean(axis=0))
center_y = y_b_min_tij_m + np.argmax(thresh[y_b_min_tij_m:y_b_max_tij_m, x_b_min_tij_m:x_b_max_tij_m].mean(axis=1))
else:
left_quartile = x_tij_m < thresh.shape[0] /2
upper_quartile = y_tij_m < thresh.shape[1] /2
center_x = x_min_tij_m + ((x_b_max_tij_m - x_b_min_tij_m) / 2)
center_y = y_min_tij_m + ((y_b_max_tij_m - y_b_min_tij_m) / 2)
center_x = x_min_tij_m + np.argmax(thresh[y_min_tij_m:y_max_tij_m, x_min_tij_m:x_max_tij_m].mean(axis=0))
center_y = y_min_tij_m + np.argmax(thresh[y_min_tij_m:y_max_tij_m, x_min_tij_m:x_max_tij_m].mean(axis=1))
# draw ellipse on copy of input
result = img.copy()
cv2.ellipse(result, ellipse, (0,0,255), 1)
cv2.line(result, (int(xtop),int(ytop)), (int(xbot),int(ybot)), (255, 0, 0), 1)
cv2.circle(result, (int(xc),int(yc)), 10, (255, 255, 255), -1)
cv2.circle(result, (int(center_x),int(center_y)), 10, (255, 0, 255), 5)
cv2.circle(result, (int(thresh.shape[1] / 2),int(thresh.shape[0] - 1)), 10, (255, 0, 0), 5)
cv2.rectangle(result,(x_min_tij,y_min_tij),(x_max_tij,y_max_tij),(255,0,0),3)
cv2.rectangle(result,(x_b_min_tij,y_b_min_tij),(x_b_max_tij,y_b_max_tij),(255,255,0),3)
cv2.rectangle(result,(x_min_tij_m,y_min_tij_m),(x_max_tij_m,y_max_tij_m),(255,0,0),3)
cv2.rectangle(result,(x_b_min_tij_m,y_b_min_tij_m),(x_b_max_tij_m,y_b_max_tij_m),(255,255,0),3)
plt.imshow(result)
plt.figure()
#rotate the image
rot_img = Image.fromarray(thresh)
#180
bot_point_x = int(thresh.shape[1] / 2)
bot_point_y = int(thresh.shape[0] - 1)
#poi
poi_x = int(center_x)
poi_y = int(center_y)
#image_center
im_center_x = int(thresh.shape[1] / 2)
im_center_y = int(thresh.shape[0] - 1) / 2
#a - adalt, b - abaix, c - dreta
#ba = a - b
#bc = c - a(b en realitat)
ba = np.array([im_center_x, im_center_y]) - np.array([bot_point_x, bot_point_y])
bc = np.array([poi_x, poi_y]) - np.array([im_center_x, im_center_y])
#angle 3 punts
cosine_angle = np.dot(ba, bc) / (np.linalg.norm(ba) * np.linalg.norm(bc))
cos_angle = np.arccos(cosine_angle)
cos_angle = np.degrees(cos_angle)
print('cos angle: ', cos_angle)
print('print: ', abs(poi_x- bot_point_x))
m = (int(thresh.shape[1] / 2)-int(center_x) / int(thresh.shape[0] - 1)-int(center_y))
ttan = math.tan(m)
theta = math.atan(ttan)
print('theta: ', theta)
result = Image.fromarray(result)
result = result.rotate(cos_angle)
plt.imshow(result)
plt.figure()
#rot_img = rot_img.rotate(origi_angle)
rot_img = rot_img.rotate(cos_angle)
return rot_img
rot_img = get_thresholded_rotated(im_path)
plt.imshow(rot_img)
提前致谢- - 编辑 - -
I leave here some raw images as requested.
sample https://i.stack.imgur.com/OyVV4.jpg
双边对称 https://en.wikipedia.org/wiki/Symmetry_in_biology
旋转图像。找到最大的轮廓。使用矩，找到该轮廓的中心。将图像分割为左右部分（注意：应用cv2.blur(img, 5,5))产生更好的结果）：
翻转右侧。叠加左右部分：
使用 cv2.absDiff() 测量左和（翻转）右之间的差异。由于叶子具有两侧对称性，因此当叶子的茎（或刺）垂直时，差异最小。
注意：将有两个最小值；当阀杆向上时一次，当阀杆向下时一次......