File size: 18,088 Bytes
d7dbcdd
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
"""
# ==============================
# flowlib.py
# library for optical flow processing
# Author: Ruoteng Li
# Date: 6th Aug 2016
# ==============================
"""
import png
from . import pfm
import numpy as np
import matplotlib.colors as cl
import matplotlib.pyplot as plt
from PIL import Image
import cv2
import pdb


UNKNOWN_FLOW_THRESH = 1e7
SMALLFLOW = 0.0
LARGEFLOW = 1e8

"""
=============
Flow Section
=============
"""

def point_vec(img,flow,skip=16):
    #img[:] = 255
    maxsize=256
    extendfac=2.
    resize_factor = max(1,int(max(maxsize/img.shape[0], maxsize/img.shape[1])))
    meshgrid = np.meshgrid(range(img.shape[1]),range(img.shape[0]))
    dispimg = cv2.resize(img[:,:,::-1].copy(), None,fx=resize_factor,fy=resize_factor)
    colorflow = flow_to_image(flow).astype(int)

    for i in range(img.shape[1]): # x 
        for j in range(img.shape[0]): # y
            if flow[j,i,2] != 1: continue
            if j%skip!=0 or i%skip!=0: continue
            xend = int((meshgrid[0][j,i]+extendfac*flow[j,i,0])*resize_factor)
            yend = int((meshgrid[1][j,i]+extendfac*flow[j,i,1])*resize_factor)
            leng = np.linalg.norm(flow[j,i,:2]*extendfac)
            if leng<3:continue
            dispimg = cv2.arrowedLine(dispimg, (meshgrid[0][j,i]*resize_factor,meshgrid[1][j,i]*resize_factor),\
                                      (xend,yend),
                                      (int(colorflow[j,i,2]),int(colorflow[j,i,1]),int(colorflow[j,i,0])),4,tipLength=2/leng,line_type=cv2.LINE_AA)
    return dispimg


def show_flow(filename):
    """
    visualize optical flow map using matplotlib
    :param filename: optical flow file
    :return: None
    """
    flow = read_flow(filename)
    img = flow_to_image(flow)
    plt.imshow(img)
    plt.show()


def visualize_flow(flow, mode='Y'):
    """
    this function visualize the input flow
    :param flow: input flow in array
    :param mode: choose which color mode to visualize the flow (Y: Ccbcr, RGB: RGB color)
    :return: None
    """
    if mode == 'Y':
        # Ccbcr color wheel
        img = flow_to_image(flow)
        plt.imshow(img)
        plt.show()
    elif mode == 'RGB':
        (h, w) = flow.shape[0:2]
        du = flow[:, :, 0]
        dv = flow[:, :, 1]
        valid = flow[:, :, 2]
        max_flow = max(np.max(du), np.max(dv))
        img = np.zeros((h, w, 3), dtype=np.float64)
        # angle layer
        img[:, :, 0] = np.arctan2(dv, du) / (2 * np.pi)
        # magnitude layer, normalized to 1
        img[:, :, 1] = np.sqrt(du * du + dv * dv) * 8 / max_flow
        # phase layer
        img[:, :, 2] = 8 - img[:, :, 1]
        # clip to [0,1]
        small_idx = img[:, :, 0:3] < 0
        large_idx = img[:, :, 0:3] > 1
        img[small_idx] = 0
        img[large_idx] = 1
        # convert to rgb
        img = cl.hsv_to_rgb(img)
        # remove invalid point
        import pdb; pdb.set_trace()
        img[:, :, 0] = img[:, :, 0] * valid
        img[:, :, 1] = img[:, :, 1] * valid
        img[:, :, 2] = img[:, :, 2] * valid
        # show
        plt.imshow(img)
        plt.show()

    return None


def read_flow(filename):
    """
    read optical flow data from flow file
    :param filename: name of the flow file
    :return: optical flow data in numpy array
    """
    if filename.endswith('.flo'):
        flow = read_flo_file(filename)
    elif filename.endswith('.png'):
        flow = read_png_file(filename)
    elif filename.endswith('.pfm'):
        flow = read_pfm_file(filename)
    else:
        raise Exception('Invalid flow file format!')

    return flow


def write_flow(flow, filename):
    """
    write optical flow in Middlebury .flo format
    :param flow: optical flow map
    :param filename: optical flow file path to be saved
    :return: None
    """
    f = open(filename, 'wb')
    magic = np.array([202021.25], dtype=np.float32)
    (height, width) = flow.shape[0:2]
    w = np.array([width], dtype=np.int32)
    h = np.array([height], dtype=np.int32)
    magic.tofile(f)
    w.tofile(f)
    h.tofile(f)
    flow.tofile(f)
    f.close()


def save_flow_image(flow, image_file):
    """
    save flow visualization into image file
    :param flow: optical flow data
    :param flow_fil
    :return: None
    """
    flow_img = flow_to_image(flow)
    img_out = Image.fromarray(flow_img)
    img_out.save(image_file)


def flowfile_to_imagefile(flow_file, image_file):
    """
    convert flowfile into image file
    :param flow: optical flow data
    :param flow_fil
    :return: None
    """
    flow = read_flow(flow_file)
    save_flow_image(flow, image_file)


def segment_flow(flow):
    h = flow.shape[0]
    w = flow.shape[1]
    u = flow[:, :, 0]
    v = flow[:, :, 1]

    idx = ((abs(u) > LARGEFLOW) | (abs(v) > LARGEFLOW))
    idx2 = (abs(u) == SMALLFLOW)
    class0 = (v == 0) & (u == 0)
    u[idx2] = 0.00001
    tan_value = v / u

    class1 = (tan_value < 1) & (tan_value >= 0) & (u > 0) & (v >= 0)
    class2 = (tan_value >= 1) & (u >= 0) & (v >= 0)
    class3 = (tan_value < -1) & (u <= 0) & (v >= 0)
    class4 = (tan_value < 0) & (tan_value >= -1) & (u < 0) & (v >= 0)
    class8 = (tan_value >= -1) & (tan_value < 0) & (u > 0) & (v <= 0)
    class7 = (tan_value < -1) & (u >= 0) & (v <= 0)
    class6 = (tan_value >= 1) & (u <= 0) & (v <= 0)
    class5 = (tan_value >= 0) & (tan_value < 1) & (u < 0) & (v <= 0)

    seg = np.zeros((h, w))

    seg[class1] = 1
    seg[class2] = 2
    seg[class3] = 3
    seg[class4] = 4
    seg[class5] = 5
    seg[class6] = 6
    seg[class7] = 7
    seg[class8] = 8
    seg[class0] = 0
    seg[idx] = 0

    return seg


def flow_error(tu, tv, u, v):
    """
    Calculate average end point error
    :param tu: ground-truth horizontal flow map
    :param tv: ground-truth vertical flow map
    :param u:  estimated horizontal flow map
    :param v:  estimated vertical flow map
    :return: End point error of the estimated flow
    """
    smallflow = 0.0
    '''
    stu = tu[bord+1:end-bord,bord+1:end-bord]
    stv = tv[bord+1:end-bord,bord+1:end-bord]
    su = u[bord+1:end-bord,bord+1:end-bord]
    sv = v[bord+1:end-bord,bord+1:end-bord]
    '''
    stu = tu[:]
    stv = tv[:]
    su = u[:]
    sv = v[:]

    idxUnknow = (abs(stu) > UNKNOWN_FLOW_THRESH) | (abs(stv) > UNKNOWN_FLOW_THRESH)
    stu[idxUnknow] = 0
    stv[idxUnknow] = 0
    su[idxUnknow] = 0
    sv[idxUnknow] = 0

    ind2 = [(np.absolute(stu) > smallflow) | (np.absolute(stv) > smallflow)]
    index_su = su[ind2]
    index_sv = sv[ind2]
    an = 1.0 / np.sqrt(index_su ** 2 + index_sv ** 2 + 1)
    un = index_su * an
    vn = index_sv * an

    index_stu = stu[ind2]
    index_stv = stv[ind2]
    tn = 1.0 / np.sqrt(index_stu ** 2 + index_stv ** 2 + 1)
    tun = index_stu * tn
    tvn = index_stv * tn

    '''
    angle = un * tun + vn * tvn + (an * tn)
    index = [angle == 1.0]
    angle[index] = 0.999
    ang = np.arccos(angle)
    mang = np.mean(ang)
    mang = mang * 180 / np.pi
    '''

    epe = np.sqrt((stu - su) ** 2 + (stv - sv) ** 2)
    epe = epe[ind2]
    mepe = np.mean(epe)
    return mepe


def flow_to_image(flow):
    """
    Convert flow into middlebury color code image
    :param flow: optical flow map
    :return: optical flow image in middlebury color
    """
    u = flow[:, :, 0]
    v = flow[:, :, 1]

    maxu = -999.
    maxv = -999.
    minu = 999.
    minv = 999.

    idxUnknow = (abs(u) > UNKNOWN_FLOW_THRESH) | (abs(v) > UNKNOWN_FLOW_THRESH)
    u[idxUnknow] = 0
    v[idxUnknow] = 0

    maxu = max(maxu, np.max(u))
    minu = min(minu, np.min(u))

    maxv = max(maxv, np.max(v))
    minv = min(minv, np.min(v))

    rad = np.sqrt(u ** 2 + v ** 2)
    maxrad = max(-1, np.max(rad))

    u = u/(maxrad + np.finfo(float).eps)
    v = v/(maxrad + np.finfo(float).eps)

    img = compute_color(u, v)

    idx = np.repeat(idxUnknow[:, :, np.newaxis], 3, axis=2)
    img[idx] = 0

    return np.uint8(img)


def evaluate_flow_file(gt_file, pred_file):
    """
    evaluate the estimated optical flow end point error according to ground truth provided
    :param gt_file: ground truth file path
    :param pred_file: estimated optical flow file path
    :return: end point error, float32
    """
    # Read flow files and calculate the errors
    gt_flow = read_flow(gt_file)        # ground truth flow
    eva_flow = read_flow(pred_file)     # predicted flow
    # Calculate errors
    average_pe = flow_error(gt_flow[:, :, 0], gt_flow[:, :, 1], eva_flow[:, :, 0], eva_flow[:, :, 1])
    return average_pe


def evaluate_flow(gt_flow, pred_flow):
    """
    gt: ground-truth flow
    pred: estimated flow
    """
    average_pe = flow_error(gt_flow[:, :, 0], gt_flow[:, :, 1], pred_flow[:, :, 0], pred_flow[:, :, 1])
    return average_pe


"""
==============
Disparity Section
==============
"""


def read_disp_png(file_name):
    """
    Read optical flow from KITTI .png file
    :param file_name: name of the flow file
    :return: optical flow data in matrix
    """
    image_object = png.Reader(filename=file_name)
    image_direct = image_object.asDirect()
    image_data = list(image_direct[2])
    (w, h) = image_direct[3]['size']
    channel = len(image_data[0]) / w
    flow = np.zeros((h, w, channel), dtype=np.uint16)
    for i in range(len(image_data)):
        for j in range(channel):
            flow[i, :, j] = image_data[i][j::channel]
    return flow[:, :, 0] / 256


def disp_to_flowfile(disp, filename):
    """
    Read KITTI disparity file in png format
    :param disp: disparity matrix
    :param filename: the flow file name to save
    :return: None
    """
    f = open(filename, 'wb')
    magic = np.array([202021.25], dtype=np.float32)
    (height, width) = disp.shape[0:2]
    w = np.array([width], dtype=np.int32)
    h = np.array([height], dtype=np.int32)
    empty_map = np.zeros((height, width), dtype=np.float32)
    data = np.dstack((disp, empty_map))
    magic.tofile(f)
    w.tofile(f)
    h.tofile(f)
    data.tofile(f)
    f.close()


"""
==============
Image Section
==============
"""


def read_image(filename):
    """
    Read normal image of any format
    :param filename: name of the image file
    :return: image data in matrix uint8 type
    """
    img = Image.open(filename)
    im = np.array(img)
    return im

def warp_flow(img, flow):
    h, w = flow.shape[:2]
    flow = flow.copy().astype(np.float32)
    flow[:,:,0] += np.arange(w)
    flow[:,:,1] += np.arange(h)[:,np.newaxis]
    res = cv2.remap(img, flow, None, cv2.INTER_LINEAR)
    return res

def warp_image(im, flow):
    """
    Use optical flow to warp image to the next
    :param im: image to warp
    :param flow: optical flow
    :return: warped image
    """
    from scipy import interpolate
    image_height = im.shape[0]
    image_width = im.shape[1]
    flow_height = flow.shape[0]
    flow_width = flow.shape[1]
    n = image_height * image_width
    (iy, ix) = np.mgrid[0:image_height, 0:image_width]
    (fy, fx) = np.mgrid[0:flow_height, 0:flow_width]
    fx = fx.astype(np.float64)
    fy = fy.astype(np.float64)
    fx += flow[:,:,0]
    fy += flow[:,:,1]
    mask = np.logical_or(fx <0 , fx > flow_width)
    mask = np.logical_or(mask, fy < 0)
    mask = np.logical_or(mask, fy > flow_height)
    fx = np.minimum(np.maximum(fx, 0), flow_width)
    fy = np.minimum(np.maximum(fy, 0), flow_height)
    points = np.concatenate((ix.reshape(n,1), iy.reshape(n,1)), axis=1)
    xi = np.concatenate((fx.reshape(n, 1), fy.reshape(n,1)), axis=1)
    warp = np.zeros((image_height, image_width, im.shape[2]))
    for i in range(im.shape[2]):
        channel = im[:, :, i]
        plt.imshow(channel, cmap='gray')
        values = channel.reshape(n, 1)
        new_channel = interpolate.griddata(points, values, xi, method='cubic')
        new_channel = np.reshape(new_channel, [flow_height, flow_width])
        new_channel[mask] = 1
        warp[:, :, i] = new_channel.astype(np.uint8)

    return warp.astype(np.uint8)


"""
==============
Others
==============
"""

def pfm_to_flo(pfm_file):
    flow_filename = pfm_file[0:pfm_file.find('.pfm')] + '.flo'
    (data, scale) = pfm.readPFM(pfm_file)
    flow = data[:, :, 0:2]
    write_flow(flow, flow_filename)


def scale_image(image, new_range):
    """
    Linearly scale the image into desired range
    :param image: input image
    :param new_range: the new range to be aligned
    :return: image normalized in new range
    """
    min_val = np.min(image).astype(np.float32)
    max_val = np.max(image).astype(np.float32)
    min_val_new = np.array(min(new_range), dtype=np.float32)
    max_val_new = np.array(max(new_range), dtype=np.float32)
    scaled_image = (image - min_val) / (max_val - min_val) * (max_val_new - min_val_new) + min_val_new
    return scaled_image.astype(np.uint8)


def compute_color(u, v):
    """
    compute optical flow color map
    :param u: optical flow horizontal map
    :param v: optical flow vertical map
    :return: optical flow in color code
    """
    [h, w] = u.shape
    img = np.zeros([h, w, 3])
    nanIdx = np.isnan(u) | np.isnan(v)
    u[nanIdx] = 0
    v[nanIdx] = 0

    colorwheel = make_color_wheel()
    ncols = np.size(colorwheel, 0)

    rad = np.sqrt(u**2+v**2)

    a = np.arctan2(-v, -u) / np.pi

    fk = (a+1) / 2 * (ncols - 1) + 1

    k0 = np.floor(fk).astype(int)

    k1 = k0 + 1
    k1[k1 == ncols+1] = 1
    f = fk - k0

    for i in range(0, np.size(colorwheel,1)):
        tmp = colorwheel[:, i]
        col0 = tmp[k0-1] / 255
        col1 = tmp[k1-1] / 255
        col = (1-f) * col0 + f * col1

        idx = rad <= 1
        col[idx] = 1-rad[idx]*(1-col[idx])
        notidx = np.logical_not(idx)

        col[notidx] *= 0.75
        img[:, :, i] = np.uint8(np.floor(255 * col*(1-nanIdx)))

    return img


def make_color_wheel():
    """
    Generate color wheel according Middlebury color code
    :return: Color wheel
    """
    RY = 15
    YG = 6
    GC = 4
    CB = 11
    BM = 13
    MR = 6

    ncols = RY + YG + GC + CB + BM + MR

    colorwheel = np.zeros([ncols, 3])

    col = 0

    # RY
    colorwheel[0:RY, 0] = 255
    colorwheel[0:RY, 1] = np.transpose(np.floor(255*np.arange(0, RY) / RY))
    col += RY

    # YG
    colorwheel[col:col+YG, 0] = 255 - np.transpose(np.floor(255*np.arange(0, YG) / YG))
    colorwheel[col:col+YG, 1] = 255
    col += YG

    # GC
    colorwheel[col:col+GC, 1] = 255
    colorwheel[col:col+GC, 2] = np.transpose(np.floor(255*np.arange(0, GC) / GC))
    col += GC

    # CB
    colorwheel[col:col+CB, 1] = 255 - np.transpose(np.floor(255*np.arange(0, CB) / CB))
    colorwheel[col:col+CB, 2] = 255
    col += CB

    # BM
    colorwheel[col:col+BM, 2] = 255
    colorwheel[col:col+BM, 0] = np.transpose(np.floor(255*np.arange(0, BM) / BM))
    col += + BM

    # MR
    colorwheel[col:col+MR, 2] = 255 - np.transpose(np.floor(255 * np.arange(0, MR) / MR))
    colorwheel[col:col+MR, 0] = 255

    return colorwheel


def read_flo_file(filename):
    """
    Read from Middlebury .flo file
    :param flow_file: name of the flow file
    :return: optical flow data in matrix
    """
    f = open(filename, 'rb')
    magic = np.fromfile(f, np.float32, count=1)
    data2d = None

    if 202021.25 != magic:
        print('Magic number incorrect. Invalid .flo file')
    else:
        w = np.fromfile(f, np.int32, count=1)
        h = np.fromfile(f, np.int32, count=1)
        #print("Reading %d x %d flow file in .flo format" % (h, w))
        flow = np.ones((h[0],w[0],3))
        data2d = np.fromfile(f, np.float32, count=2 * w[0] * h[0])
        # reshape data into 3D array (columns, rows, channels)
        data2d = np.resize(data2d, (h[0], w[0], 2))
        flow[:,:,:2] = data2d
    f.close()
    return flow


def read_png_file(flow_file):
    """
    Read from KITTI .png file
    :param flow_file: name of the flow file
    :return: optical flow data in matrix
    """
    flow = cv2.imread(flow_file,-1)[:,:,::-1].astype(np.float64)
 #   flow_object = png.Reader(filename=flow_file)
 #   flow_direct = flow_object.asDirect()
 #   flow_data = list(flow_direct[2])
 #   (w, h) = flow_direct[3]['size']
 #   #print("Reading %d x %d flow file in .png format" % (h, w))
 #   flow = np.zeros((h, w, 3), dtype=np.float64)
 #   for i in range(len(flow_data)):
 #       flow[i, :, 0] = flow_data[i][0::3]
 #       flow[i, :, 1] = flow_data[i][1::3]
 #       flow[i, :, 2] = flow_data[i][2::3]

    invalid_idx = (flow[:, :, 2] == 0)
    flow[:, :, 0:2] = (flow[:, :, 0:2] - 2 ** 15) / 64.0
    flow[invalid_idx, 0] = 0
    flow[invalid_idx, 1] = 0
    return flow


def read_pfm_file(flow_file):
    """
    Read from .pfm file
    :param flow_file: name of the flow file
    :return: optical flow data in matrix
    """
    (data, scale) = pfm.readPFM(flow_file)
    return data 


# fast resample layer
def resample(img, sz):
    """
    img: flow map to be resampled
    sz: new flow map size. Must be [height,weight]
    """
    original_image_size = img.shape
    in_height = img.shape[0]
    in_width = img.shape[1]
    out_height = sz[0]
    out_width = sz[1]
    out_flow = np.zeros((out_height, out_width, 2))
    # find scale
    height_scale =  float(in_height) / float(out_height)
    width_scale =  float(in_width) / float(out_width)

    [x,y] = np.meshgrid(range(out_width), range(out_height))
    xx = x * width_scale
    yy = y * height_scale
    x0 = np.floor(xx).astype(np.int32)
    x1 = x0 + 1
    y0 = np.floor(yy).astype(np.int32)
    y1 = y0 + 1

    x0 = np.clip(x0,0,in_width-1)
    x1 = np.clip(x1,0,in_width-1)
    y0 = np.clip(y0,0,in_height-1)
    y1 = np.clip(y1,0,in_height-1)

    Ia = img[y0,x0,:]
    Ib = img[y1,x0,:]
    Ic = img[y0,x1,:]
    Id = img[y1,x1,:]

    wa = (y1-yy) * (x1-xx)
    wb = (yy-y0) * (x1-xx)
    wc = (y1-yy) * (xx-x0)
    wd = (yy-y0) * (xx-x0)
    out_flow[:,:,0] = (Ia[:,:,0]*wa + Ib[:,:,0]*wb + Ic[:,:,0]*wc + Id[:,:,0]*wd) * out_width / in_width
    out_flow[:,:,1] = (Ia[:,:,1]*wa + Ib[:,:,1]*wb + Ic[:,:,1]*wc + Id[:,:,1]*wd) * out_height / in_height

    return out_flow