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# -*- coding: utf-8 -*-
"""
Created on Mon Apr 24 15:43:29 2017
@author: zhaoy
"""
"""
@Modified by yangxy (yangtao9009@gmail.com)
"""
import cv2
import numpy as np
from skimage import transform as trans
# reference facial points, a list of coordinates (x,y)
REFERENCE_FACIAL_POINTS = [
[30.29459953, 51.69630051],
[65.53179932, 51.50139999],
[48.02519989, 71.73660278],
[33.54930115, 92.3655014],
[62.72990036, 92.20410156]
]
DEFAULT_CROP_SIZE = (96, 112)
def _umeyama(src, dst, estimate_scale=True, scale=1.0):
"""Estimate N-D similarity transformation with or without scaling.
Parameters
----------
src : (M, N) array
Source coordinates.
dst : (M, N) array
Destination coordinates.
estimate_scale : bool
Whether to estimate scaling factor.
Returns
-------
T : (N + 1, N + 1)
The homogeneous similarity transformation matrix. The matrix contains
NaN values only if the problem is not well-conditioned.
References
----------
.. [1] "Least-squares estimation of transformation parameters between two
point patterns", Shinji Umeyama, PAMI 1991, :DOI:`10.1109/34.88573`
"""
num = src.shape[0]
dim = src.shape[1]
# Compute mean of src and dst.
src_mean = src.mean(axis=0)
dst_mean = dst.mean(axis=0)
# Subtract mean from src and dst.
src_demean = src - src_mean
dst_demean = dst - dst_mean
# Eq. (38).
A = dst_demean.T @ src_demean / num
# Eq. (39).
d = np.ones((dim,), dtype=np.double)
if np.linalg.det(A) < 0:
d[dim - 1] = -1
T = np.eye(dim + 1, dtype=np.double)
U, S, V = np.linalg.svd(A)
# Eq. (40) and (43).
rank = np.linalg.matrix_rank(A)
if rank == 0:
return np.nan * T
elif rank == dim - 1:
if np.linalg.det(U) * np.linalg.det(V) > 0:
T[:dim, :dim] = U @ V
else:
s = d[dim - 1]
d[dim - 1] = -1
T[:dim, :dim] = U @ np.diag(d) @ V
d[dim - 1] = s
else:
T[:dim, :dim] = U @ np.diag(d) @ V
if estimate_scale:
# Eq. (41) and (42).
scale = 1.0 / src_demean.var(axis=0).sum() * (S @ d)
else:
scale = scale
T[:dim, dim] = dst_mean - scale * (T[:dim, :dim] @ src_mean.T)
T[:dim, :dim] *= scale
return T, scale
class FaceWarpException(Exception):
def __str__(self):
return 'In File {}:{}'.format(
__file__, super.__str__(self))
def get_reference_facial_points(output_size=None,
inner_padding_factor=0.0,
outer_padding=(0, 0),
default_square=False):
tmp_5pts = np.array(REFERENCE_FACIAL_POINTS)
tmp_crop_size = np.array(DEFAULT_CROP_SIZE)
# 0) make the inner region a square
if default_square:
size_diff = max(tmp_crop_size) - tmp_crop_size
tmp_5pts += size_diff / 2
tmp_crop_size += size_diff
if (output_size and
output_size[0] == tmp_crop_size[0] and
output_size[1] == tmp_crop_size[1]):
print('output_size == DEFAULT_CROP_SIZE {}: return default reference points'.format(tmp_crop_size))
return tmp_5pts
if (inner_padding_factor == 0 and
outer_padding == (0, 0)):
if output_size is None:
print('No paddings to do: return default reference points')
return tmp_5pts
else:
raise FaceWarpException(
'No paddings to do, output_size must be None or {}'.format(tmp_crop_size))
# check output size
if not (0 <= inner_padding_factor <= 1.0):
raise FaceWarpException('Not (0 <= inner_padding_factor <= 1.0)')
if ((inner_padding_factor > 0 or outer_padding[0] > 0 or outer_padding[1] > 0)
and output_size is None):
output_size = tmp_crop_size * \
(1 + inner_padding_factor * 2).astype(np.int32)
output_size += np.array(outer_padding)
print(' deduced from paddings, output_size = ', output_size)
if not (outer_padding[0] < output_size[0]
and outer_padding[1] < output_size[1]):
raise FaceWarpException('Not (outer_padding[0] < output_size[0]'
'and outer_padding[1] < output_size[1])')
# 1) pad the inner region according inner_padding_factor
# print('---> STEP1: pad the inner region according inner_padding_factor')
if inner_padding_factor > 0:
size_diff = tmp_crop_size * inner_padding_factor * 2
tmp_5pts += size_diff / 2
tmp_crop_size += np.round(size_diff).astype(np.int32)
# print(' crop_size = ', tmp_crop_size)
# print(' reference_5pts = ', tmp_5pts)
# 2) resize the padded inner region
# print('---> STEP2: resize the padded inner region')
size_bf_outer_pad = np.array(output_size) - np.array(outer_padding) * 2
# print(' crop_size = ', tmp_crop_size)
# print(' size_bf_outer_pad = ', size_bf_outer_pad)
if size_bf_outer_pad[0] * tmp_crop_size[1] != size_bf_outer_pad[1] * tmp_crop_size[0]:
raise FaceWarpException('Must have (output_size - outer_padding)'
'= some_scale * (crop_size * (1.0 + inner_padding_factor)')
scale_factor = size_bf_outer_pad[0].astype(np.float32) / tmp_crop_size[0]
# print(' resize scale_factor = ', scale_factor)
tmp_5pts = tmp_5pts * scale_factor
# size_diff = tmp_crop_size * (scale_factor - min(scale_factor))
# tmp_5pts = tmp_5pts + size_diff / 2
tmp_crop_size = size_bf_outer_pad
# print(' crop_size = ', tmp_crop_size)
# print(' reference_5pts = ', tmp_5pts)
# 3) add outer_padding to make output_size
reference_5point = tmp_5pts + np.array(outer_padding)
tmp_crop_size = output_size
# print('---> STEP3: add outer_padding to make output_size')
# print(' crop_size = ', tmp_crop_size)
# print(' reference_5pts = ', tmp_5pts)
#
# print('===> end get_reference_facial_points\n')
return reference_5point
def get_affine_transform_matrix(src_pts, dst_pts):
tfm = np.float32([[1, 0, 0], [0, 1, 0]])
n_pts = src_pts.shape[0]
ones = np.ones((n_pts, 1), src_pts.dtype)
src_pts_ = np.hstack([src_pts, ones])
dst_pts_ = np.hstack([dst_pts, ones])
A, res, rank, s = np.linalg.lstsq(src_pts_, dst_pts_)
if rank == 3:
tfm = np.float32([
[A[0, 0], A[1, 0], A[2, 0]],
[A[0, 1], A[1, 1], A[2, 1]]
])
elif rank == 2:
tfm = np.float32([
[A[0, 0], A[1, 0], 0],
[A[0, 1], A[1, 1], 0]
])
return tfm
def warp_and_crop_face(src_img,
facial_pts,
reference_pts=None,
crop_size=(96, 112),
align_type='smilarity'): #smilarity cv2_affine affine
if reference_pts is None:
if crop_size[0] == 96 and crop_size[1] == 112:
reference_pts = REFERENCE_FACIAL_POINTS
else:
default_square = False
inner_padding_factor = 0
outer_padding = (0, 0)
output_size = crop_size
reference_pts = get_reference_facial_points(output_size,
inner_padding_factor,
outer_padding,
default_square)
ref_pts = np.float32(reference_pts)
ref_pts_shp = ref_pts.shape
if max(ref_pts_shp) < 3: # or min(ref_pts_shp) != 2:
raise FaceWarpException(
'reference_pts.shape must be (K,2) or (2,K) and K>2')
if ref_pts_shp[0] == 2 or ref_pts_shp[0] == 3:
ref_pts = ref_pts.T
src_pts = np.float32(facial_pts)
src_pts_shp = src_pts.shape
if max(src_pts_shp) < 3: # or min(src_pts_shp) != 2:
raise FaceWarpException(
'facial_pts.shape must be (K,2) or (2,K) and K>2')
if src_pts_shp[0] == 2 or src_pts_shp[0] == 3:
src_pts = src_pts.T
if src_pts.shape != ref_pts.shape:
raise FaceWarpException(
'facial_pts and reference_pts must have the same shape')
if align_type is 'cv2_affine':
tfm = cv2.getAffineTransform(src_pts[0:3], ref_pts[0:3])
tfm_inv = cv2.getAffineTransform(ref_pts[0:3], src_pts[0:3])
elif align_type is 'cv2_rigid':
tfm, _ = cv2.estimateAffinePartial2D(src_pts[0:3], ref_pts[0:3])
tfm_inv, _ = cv2.estimateAffinePartial2D(ref_pts[0:3], src_pts[0:3])
elif align_type is 'affine':
tfm = get_affine_transform_matrix(src_pts, ref_pts)
tfm_inv = get_affine_transform_matrix(ref_pts, src_pts)
else:
params, scale = _umeyama(src_pts, ref_pts)
tfm = params[:2, :]
params, _ = _umeyama(ref_pts, src_pts, False, scale=1.0/scale)
tfm_inv = params[:2, :]
# M = cv2.getPerspectiveTransform(ref_pts[0:4], src_pts[0:4])
face_img = cv2.warpAffine(src_img, tfm, (crop_size[0], crop_size[1]), flags=3)
# face_img = cv2.warpPerspective(src_img, M, (crop_size[0], crop_size[1]), flags=cv2.INTER_LINEAR )
return face_img, tfm_inv
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