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eval_segm.py
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eval_segm.py
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#!/usr/bin/python
'''
Martin Kersner, m.kersner@gmail.com
2015/11/30
Evaluation metrics for image segmentation inspired by
paper Fully Convolutional Networks for Semantic Segmentation.
'''
import numpy as np
def pixel_accuracy(eval_segm, gt_segm):
'''
sum_i(n_ii) / sum_i(t_i)
'''
check_size(eval_segm, gt_segm)
cl, n_cl = extract_classes(gt_segm)
eval_mask, gt_mask = extract_both_masks(eval_segm, gt_segm, cl, n_cl)
sum_n_ii = 0
sum_t_i = 0
for i, c in enumerate(cl):
curr_eval_mask = eval_mask[i, :, :]
curr_gt_mask = gt_mask[i, :, :]
sum_n_ii += np.sum(np.logical_and(curr_eval_mask, curr_gt_mask))
sum_t_i += np.sum(curr_gt_mask)
if (sum_t_i == 0):
pixel_accuracy_ = 0
else:
pixel_accuracy_ = sum_n_ii / sum_t_i
return pixel_accuracy_
def mean_accuracy(eval_segm, gt_segm):
'''
(1/n_cl) sum_i(n_ii/t_i)
'''
check_size(eval_segm, gt_segm)
cl, n_cl = extract_classes(gt_segm)
eval_mask, gt_mask = extract_both_masks(eval_segm, gt_segm, cl, n_cl)
accuracy = list([0]) * n_cl
for i, c in enumerate(cl):
curr_eval_mask = eval_mask[i, :, :]
curr_gt_mask = gt_mask[i, :, :]
n_ii = np.sum(np.logical_and(curr_eval_mask, curr_gt_mask))
t_i = np.sum(curr_gt_mask)
if (t_i != 0):
accuracy[i] = n_ii / t_i
mean_accuracy_ = np.mean(accuracy)
return mean_accuracy_
def mean_IU(eval_segm, gt_segm):
'''
(1/n_cl) * sum_i(n_ii / (t_i + sum_j(n_ji) - n_ii))
'''
check_size(eval_segm, gt_segm)
cl, n_cl = union_classes(eval_segm, gt_segm)
_, n_cl_gt = extract_classes(gt_segm)
eval_mask, gt_mask = extract_both_masks(eval_segm, gt_segm, cl, n_cl)
IU = list([0]) * n_cl
for i, c in enumerate(cl):
curr_eval_mask = eval_mask[i, :, :]
curr_gt_mask = gt_mask[i, :, :]
if (np.sum(curr_eval_mask) == 0) or (np.sum(curr_gt_mask) == 0):
continue
n_ii = np.sum(np.logical_and(curr_eval_mask, curr_gt_mask))
t_i = np.sum(curr_gt_mask)
n_ij = np.sum(curr_eval_mask)
IU[i] = n_ii / (t_i + n_ij - n_ii)
mean_IU_ = np.sum(IU) / n_cl_gt
return mean_IU_
def frequency_weighted_IU(eval_segm, gt_segm):
'''
sum_k(t_k)^(-1) * sum_i((t_i*n_ii)/(t_i + sum_j(n_ji) - n_ii))
'''
check_size(eval_segm, gt_segm)
cl, n_cl = union_classes(eval_segm, gt_segm)
eval_mask, gt_mask = extract_both_masks(eval_segm, gt_segm, cl, n_cl)
frequency_weighted_IU_ = list([0]) * n_cl
for i, c in enumerate(cl):
curr_eval_mask = eval_mask[i, :, :]
curr_gt_mask = gt_mask[i, :, :]
if (np.sum(curr_eval_mask) == 0) or (np.sum(curr_gt_mask) == 0):
continue
n_ii = np.sum(np.logical_and(curr_eval_mask, curr_gt_mask))
t_i = np.sum(curr_gt_mask)
n_ij = np.sum(curr_eval_mask)
frequency_weighted_IU_[i] = (t_i * n_ii) / (t_i + n_ij - n_ii)
sum_k_t_k = get_pixel_area(eval_segm)
frequency_weighted_IU_ = np.sum(frequency_weighted_IU_) / sum_k_t_k
return frequency_weighted_IU_
'''
Auxiliary functions used during evaluation.
'''
def get_pixel_area(segm):
return segm.shape[0] * segm.shape[1]
def extract_both_masks(eval_segm, gt_segm, cl, n_cl):
eval_mask = extract_masks(eval_segm, cl, n_cl)
gt_mask = extract_masks(gt_segm, cl, n_cl)
return eval_mask, gt_mask
def extract_classes(segm):
cl = np.unique(segm)
n_cl = len(cl)
return cl, n_cl
def union_classes(eval_segm, gt_segm):
eval_cl, _ = extract_classes(eval_segm)
gt_cl, _ = extract_classes(gt_segm)
cl = np.union1d(eval_cl, gt_cl)
n_cl = len(cl)
return cl, n_cl
def extract_masks(segm, cl, n_cl):
h, w = segm_size(segm)
masks = np.zeros((n_cl, h, w))
for i, c in enumerate(cl):
masks[i, :, :] = segm == c
return masks
def segm_size(segm):
try:
height = segm.shape[0]
width = segm.shape[1]
except IndexError:
raise
return height, width
def check_size(eval_segm, gt_segm):
h_e, w_e = segm_size(eval_segm)
h_g, w_g = segm_size(gt_segm)
if (h_e != h_g) or (w_e != w_g):
raise EvalSegErr("DiffDim: Different dimensions of matrices!")
'''
Exceptions
'''
class EvalSegErr(Exception):
def __init__(self, value):
self.value = value
def __str__(self):
return repr(self.value)