def assert_almost_eq(arr_test, arr_target, thresh=1E-11):
r"""
Args:
arr_test (ndarray or list):
arr_target (ndarray or list):
thresh (scalar or ndarray or list):
"""
if util_arg.NO_ASSERTS:
return
import utool as ut
arr1 = np.array(arr_test)
arr2 = np.array(arr_target)
passed, error = ut.almost_eq(arr1, arr2, thresh, ret_error=True)
if not np.all(passed):
failed_xs = np.where(np.logical_not(passed))
failed_error = error.take(failed_xs)
failed_arr_test = arr1.take(failed_xs)
failed_arr_target = arr2.take(failed_xs)
msg_list = [
'FAILED ASSERT ALMOST EQUAL',
' * failed_xs = %r' % (failed_xs, ),
' * failed_error = %r' % (failed_error, ),
' * failed_arr_test = %r' % (failed_arr_test, ),
' * failed_arr_target = %r' % (failed_arr_target, ),
]
msg = '\n'.join(msg_list)
raise AssertionError(msg)
return error
def assert_almost_eq(arr_test, arr_target, thresh=1E-11):
r"""
Args:
arr_test (ndarray or list):
arr_target (ndarray or list):
thresh (scalar or ndarray or list):
"""
if util_arg.NO_ASSERTS:
return
import utool as ut
arr1 = np.array(arr_test)
arr2 = np.array(arr_target)
passed, error = ut.almost_eq(arr1, arr2, thresh, ret_error=True)
if not np.all(passed):
failed_xs = np.where(np.logical_not(passed))
failed_error = error.take(failed_xs)
failed_arr_test = arr1.take(failed_xs)
failed_arr_target = arr2.take(failed_xs)
msg_list = [
'FAILED ASSERT ALMOST EQUAL',
' * failed_xs = %r' % (failed_xs,),
' * failed_error = %r' % (failed_error,),
' * failed_arr_test = %r' % (failed_arr_test,),
' * failed_arr_target = %r' % (failed_arr_target,),
]
msg = '\n'.join(msg_list)
raise AssertionError(msg)
return error
def test_rots(theta):
invVR_mats = ltool.matrix_multiply(invV_mats, R_mats(theta))
_oris = ktool.get_invVR_mats_oris(invVR_mats)
print('________')
print('theta = %r' % (theta % TAU, ))
print('b / a = %r' % (_oris, ))
passed, error = utool.almost_eq(_oris, theta % TAU, ret_error=True)
try:
assert np.all(passed)
except AssertionError as ex:
utool.printex(ex, 'rotation unequal', key_list=['passed', 'error'])
def test_rots(theta):
invVR_mats = ltool.matrix_multiply(invV_mats, R_mats(theta))
_oris = ktool.get_invVR_mats_oris(invVR_mats)
print('________')
print('theta = %r' % (theta % TAU,))
print('b / a = %r' % (_oris,))
passed, error = utool.almost_eq(_oris, theta % TAU, ret_error=True)
try:
assert np.all(passed)
except AssertionError as ex:
utool.printex(ex, 'rotation unequal', key_list=['passed',
'error'])
def _compute_multiassign_weights(_idx2_wx, _idx2_wdist, massign_alpha=1.2,
massign_sigma=80.0,
massign_equal_weights=False):
"""
Multi Assignment Weight Filtering from Improving Bag of Features
Args:
massign_equal_weights (): Turns off soft weighting. Gives all assigned
vectors weight 1
Returns:
tuple : (idx2_wxs, idx2_maws)
References:
(Improving Bag of Features)
http://lear.inrialpes.fr/pubs/2010/JDS10a/jegou_improvingbof_preprint.pdf
(Lost in Quantization)
http://www.robots.ox.ac.uk/~vgg/publications/papers/philbin08.ps.gz
(A Context Dissimilarity Measure for Accurate and Efficient Image Search)
https://lear.inrialpes.fr/pubs/2007/JHS07/jegou_cdm.pdf
Example:
>>> massign_alpha = 1.2
>>> massign_sigma = 80.0
>>> massign_equal_weights = False
Notes:
sigma values from \cite{philbin_lost08}
(70 ** 2) ~= 5000, (80 ** 2) ~= 6250, (86 ** 2) ~= 7500,
"""
if not ut.QUIET:
print('[smk_index.assign] compute_multiassign_weights_')
if _idx2_wx.shape[1] <= 1:
idx2_wxs = _idx2_wx.tolist()
idx2_maws = [[1.0]] * len(idx2_wxs)
else:
# Valid word assignments are beyond fraction of distance to the nearest word
massign_thresh = _idx2_wdist.T[0:1].T.copy()
# HACK: If the nearest word has distance 0 then this threshold is too hard
# so we should use the distance to the second nearest word.
EXACT_MATCH_HACK = True
if EXACT_MATCH_HACK:
flag_too_close = (massign_thresh == 0)
massign_thresh[flag_too_close] = _idx2_wdist.T[1:2].T[flag_too_close]
# Compute the threshold fraction
epsilon = .001
np.add(epsilon, massign_thresh, out=massign_thresh)
np.multiply(massign_alpha, massign_thresh, out=massign_thresh)
# Mark assignments as invalid if they are too far away from the nearest assignment
invalid = np.greater_equal(_idx2_wdist, massign_thresh)
if ut.VERBOSE:
nInvalid = (invalid.size - invalid.sum(), invalid.size)
print('[maw] + massign_alpha = %r' % (massign_alpha,))
print('[maw] + massign_sigma = %r' % (massign_sigma,))
print('[maw] + massign_equal_weights = %r' % (massign_equal_weights,))
print('[maw] * Marked %d/%d assignments as invalid' % nInvalid)
if massign_equal_weights:
# Performance hack from jegou paper: just give everyone equal weight
masked_wxs = np.ma.masked_array(_idx2_wx, mask=invalid)
idx2_wxs = list(map(ut.filter_Nones, masked_wxs.tolist()))
#ut.embed()
if ut.DEBUG2:
assert all([isinstance(wxs, list) for wxs in idx2_wxs])
idx2_maws = [np.ones(len(wxs), dtype=np.float32) for wxs in idx2_wxs]
else:
# More natural weighting scheme
# Weighting as in Lost in Quantization
gauss_numer = np.negative(_idx2_wdist.astype(np.float64))
gauss_denom = 2 * (massign_sigma ** 2)
gauss_exp = np.divide(gauss_numer, gauss_denom)
unnorm_maw = np.exp(gauss_exp)
# Mask invalid multiassignment weights
masked_unorm_maw = np.ma.masked_array(unnorm_maw, mask=invalid)
# Normalize multiassignment weights from 0 to 1
masked_norm = masked_unorm_maw.sum(axis=1)[:, np.newaxis]
masked_maw = np.divide(masked_unorm_maw, masked_norm)
masked_wxs = np.ma.masked_array(_idx2_wx, mask=invalid)
# Remove masked weights and word indexes
idx2_wxs = list(map(ut.filter_Nones, masked_wxs.tolist()))
idx2_maws = list(map(ut.filter_Nones, masked_maw.tolist()))
#with ut.EmbedOnException():
if ut.DEBUG2:
checksum = [sum(maws) for maws in idx2_maws]
for x in np.where([not ut.almost_eq(val, 1) for val in checksum])[0]:
print(checksum[x])
print(_idx2_wx[x])
print(masked_wxs[x])
print(masked_maw[x])
print(massign_thresh[x])
print(_idx2_wdist[x])
#all([ut.almost_eq(x, 1) for x in checksum])
assert all([ut.almost_eq(val, 1) for val in checksum]), 'weights did not break evenly'
return idx2_wxs, idx2_maws
def main_smk_debug():
"""
CommandLine:
python -m ibeis.algo.hots.smk.smk_debug --test-main_smk_debug
Example:
>>> from ibeis.algo.hots.smk.smk_debug import * # NOQA
>>> main_smk_debug()
"""
print('+------------')
print('SMK_DEBUG MAIN')
print('+------------')
from ibeis.algo.hots import pipeline
ibs, annots_df, taids, daids, qaids, qreq_, nWords = testdata_dataframe()
# Query using SMK
#qaid = qaids[0]
nWords = qreq_.qparams.nWords
aggregate = qreq_.qparams.aggregate
smk_alpha = qreq_.qparams.smk_alpha
smk_thresh = qreq_.qparams.smk_thresh
nAssign = qreq_.qparams.nAssign
#aggregate = ibs.cfg.query_cfg.smk_cfg.aggregate
#smk_alpha = ibs.cfg.query_cfg.smk_cfg.smk_alpha
#smk_thresh = ibs.cfg.query_cfg.smk_cfg.smk_thresh
print('+------------')
print('SMK_DEBUG PARAMS')
print('[smk_debug] aggregate = %r' % (aggregate,))
print('[smk_debug] smk_alpha = %r' % (smk_alpha,))
print('[smk_debug] smk_thresh = %r' % (smk_thresh,))
print('[smk_debug] nWords = %r' % (nWords,))
print('[smk_debug] nAssign = %r' % (nAssign,))
print('L------------')
# Learn vocabulary
#words = qreq_.words = smk_index.learn_visual_words(annots_df, taids, nWords)
# Index a database of annotations
#qreq_.invindex = smk_repr.index_data_annots(annots_df, daids, words, aggregate, smk_alpha, smk_thresh)
qreq_.ibs = ibs
# Smk Mach
print('+------------')
print('SMK_DEBUG MATCH KERNEL')
print('+------------')
qaid2_scores, qaid2_chipmatch_SMK = smk_match.execute_smk_L5(qreq_)
SVER = ut.get_argflag('--sver')
if SVER:
print('+------------')
print('SMK_DEBUG SVER? YES!')
print('+------------')
qaid2_chipmatch_SVER_ = pipeline.spatial_verification(qaid2_chipmatch_SMK, qreq_)
qaid2_chipmatch = qaid2_chipmatch_SVER_
else:
print('+------------')
print('SMK_DEBUG SVER? NO')
print('+------------')
qaid2_chipmatch = qaid2_chipmatch_SMK
print('+------------')
print('SMK_DEBUG DISPLAY RESULT')
print('+------------')
cm_list = convert_smkmatch_to_chipmatch(qaid2_chipmatch, qaid2_scores)
#filt2_meta = {}
#qaid2_qres_ = pipeline.chipmatch_to_resdict(qaid2_chipmatch, filt2_meta, qreq_)
qaid2_qres_ = pipeline.chipmatch_to_resdict(qreq_, cm_list)
#qaid2_qres_ = pipeline.chipmatch_to_resdict(qaid2_chipmatch, filt2_meta, qreq_)
for count, (qaid, qres) in enumerate(six.iteritems(qaid2_qres_)):
print('+================')
#qres = qaid2_qres_[qaid]
qres.show_top(ibs, fnum=count)
for aid in qres.aid2_score.keys():
smkscore = qaid2_scores[qaid][aid]
sumscore = qres.aid2_score[aid]
if not ut.almost_eq(smkscore, sumscore):
print('scorediff aid=%r, smkscore=%r, sumscore=%r' % (aid, smkscore, sumscore))
scores = qaid2_scores[qaid]
#print(scores)
print(qres.get_inspect_str(ibs))
print('L================')
#ut.embed()
#print(qres.aid2_fs)
#daid2_totalscore, cmtup_old = smk_index.query_inverted_index(annots_df, qaid, invindex)
## Pack into QueryResult
#qaid2_chipmatch = {qaid: cmtup_old}
#qaid2_qres_ = pipeline.chipmatch_to_resdict(qaid2_chipmatch, {}, qreq_)
## Show match
#daid2_totalscore.sort(axis=1, ascending=False)
#print(daid2_totalscore)
#daid2_totalscore2, cmtup_old = query_inverted_index(annots_df, daids[0], invindex)
#print(daid2_totalscore2)
#display_info(ibs, invindex, annots_df)
print('finished main')
return locals()
def in_depth_ellipse(kp):
"""
Makes sure that I understand how the ellipse is created form a keypoint
representation. Walks through the steps I took in coming to an
understanding.
CommandLine:
python -m pyhesaff.tests.test_ellipse --test-in_depth_ellipse --show --num-samples=12
Example:
>>> # SCRIPT
>>> from pyhesaff.tests.test_ellipse import * # NOQA
>>> import pyhesaff.tests.pyhestest as pyhestest
>>> test_data = pyhestest.load_test_data(short=True)
>>> kpts = test_data['kpts']
>>> kp = kpts[0]
>>> #kp = np.array([0, 0, 10, 10, 10, 0])
>>> print('Testing kp=%r' % (kp,))
>>> test_locals = in_depth_ellipse(kp)
>>> ut.quit_if_noshow()
>>> ut.show_if_requested()
"""
#nSamples = 12
nSamples = ut.get_argval('--num-samples', type_=int, default=12)
kp = np.array(kp, dtype=np.float64)
print('kp = %r' % kp)
#-----------------------
# SETUP
#-----------------------
np.set_printoptions(precision=3)
df2.reset()
df2.figure(9003, docla=True, doclf=True)
ax = df2.gca()
ax.invert_yaxis()
def _plotpts(data, px, color=df2.BLUE, label='', marker='.', **kwargs):
#df2.figure(9003, docla=True, pnum=(1, 1, px))
df2.plot2(data.T[0], data.T[1], marker, '', color=color, label=label, **kwargs)
#df2.update()
def _plotarrow(x, y, dx, dy, color=df2.BLUE, label=''):
ax = df2.gca()
arrowargs = dict(head_width=.5, length_includes_head=True, label=label)
arrow = mpl.patches.FancyArrow(x, y, dx, dy, **arrowargs)
arrow.set_edgecolor(color)
arrow.set_facecolor(color)
ax.add_patch(arrow)
#df2.update()
#-----------------------
# INPUT
#-----------------------
# We will call perdoch's invA = invV
print('--------------------------------')
print('Let V = Perdoch.A')
print('Let Z = Perdoch.E')
print('--------------------------------')
print('Input from Perdoch\'s detector: ')
# We are given the keypoint in invA format
if len(kp) == 5:
(ix, iy, iv11, iv21, iv22), iv12 = kp, 0
elif len(kp) == 6:
(ix, iy, iv11, iv21, iv22, ori), iv12 = kp, 0
invV = np.array([[iv11, iv12, ix],
[iv21, iv22, iy],
[ 0, 0, 1]])
V = np.linalg.inv(invV)
Z = (V.T).dot(V)
print('invV is a transform from points on a unit-circle to the ellipse')
ut.horiz_print('invV = ', invV)
print('--------------------------------')
print('V is a transformation from points on the ellipse to a unit circle')
ut.horiz_print('V = ', V)
print('--------------------------------')
print('An ellipse is a special case of a conic. For any ellipse:')
print('Points on the ellipse satisfy (x_ - x_0).T.dot(Z).dot(x_ - x_0) = 1')
print('where Z = (V.T).dot(V)')
ut.horiz_print('Z = ', Z)
# Define points on a unit circle
theta_list = np.linspace(0, TAU, nSamples)
cicrle_pts = np.array([(np.cos(t_), np.sin(t_), 1) for t_ in theta_list])
# Transform those points to the ellipse using invV
ellipse_pts1 = invV.dot(cicrle_pts.T).T
#Lets check our assertion: (x_ - x_0).T.dot(Z).dot(x_ - x_0) == 1
x_0 = np.array([ix, iy, 1])
checks = [(x_ - x_0).T.dot(Z).dot(x_ - x_0) for x_ in ellipse_pts1]
try:
# HELP: The phase is off here. in 3x3 version I'm not sure why
#assert all([almost_eq(1, check) for check in checks1])
is_almost_eq_pos1 = [ut.almost_eq(1, check) for check in checks]
is_almost_eq_neg1 = [ut.almost_eq(-1, check) for check in checks]
assert all(is_almost_eq_pos1)
except AssertionError as ex:
print('circle pts = %r ' % cicrle_pts)
print(ex)
print(checks)
print([ut.almost_eq(-1, check, 1E-9) for check in checks])
raise
else:
#assert all([abs(1 - check) < 1E-11 for check in checks2])
print('... all of our plotted points satisfy this')
#=======================
# THE CONIC SECTION
#=======================
# All of this was from the Perdoch paper, now lets move into conic sections
# We will use the notation from wikipedia
# References:
# http://en.wikipedia.org/wiki/Conic_section
# http://en.wikipedia.org/wiki/Matrix_representation_of_conic_sections
#-----------------------
# MATRIX REPRESENTATION
#-----------------------
# The matrix representation of a conic is:
#(A, B2, B2_, C) = Z.flatten()
#(D, E, F) = (0, 0, 1)
(A, B2, D2, B2_, C, E2, D2_, E2_, F) = Z.flatten()
B = B2 * 2
D = D2 * 2
E = E2 * 2
assert B2 == B2_, 'matrix should by symmetric'
assert D2 == D2_, 'matrix should by symmetric'
assert E2 == E2_, 'matrix should by symmetric'
print('--------------------------------')
print('Now, using wikipedia\' matrix representation of a conic.')
con = np.array(((' A', 'B / 2', 'D / 2'),
('B / 2', ' C', 'E / 2'),
('D / 2', 'E / 2', ' F')))
ut.horiz_print('A matrix A_Q = ', con)
# A_Q is our conic section (aka ellipse matrix)
A_Q = np.array((( A, B / 2, D / 2),
(B / 2, C, E / 2),
(D / 2, E / 2, F)))
ut.horiz_print('A_Q = ', A_Q)
#-----------------------
# DEGENERATE CONICS
# References:
# http://individual.utoronto.ca/somody/quiz.html
print('----------------------------------')
print('As long as det(A_Q) != it is not degenerate.')
print('If the conic is not degenerate, we can use the 2x2 minor: A_33')
print('det(A_Q) = %s' % str(np.linalg.det(A_Q)))
assert np.linalg.det(A_Q) != 0, 'degenerate conic'
A_33 = np.array((( A, B / 2),
(B / 2, C)))
ut.horiz_print('A_33 = ', A_33)
#-----------------------
# CONIC CLASSIFICATION
#-----------------------
print('----------------------------------')
print('The determinant of the minor classifies the type of conic it is')
print('(det == 0): parabola, (det < 0): hyperbola, (det > 0): ellipse')
print('det(A_33) = %s' % str(np.linalg.det(A_33)))
assert np.linalg.det(A_33) > 0, 'conic is not an ellipse'
print('... this is indeed an ellipse')
#-----------------------
# CONIC CENTER
#-----------------------
print('----------------------------------')
print('the centers of the ellipse are obtained by: ')
print('x_center = (B * E - (2 * C * D)) / (4 * A * C - B ** 2)')
print('y_center = (D * B - (2 * A * E)) / (4 * A * C - B ** 2)')
# Centers are obtained by solving for where the gradient of the quadratic
# becomes 0. Without going through the derivation the calculation is...
# These should be 0, 0 if we are at the origin, or our original x, y
# coordinate specified by the keypoints. I'm doing the calculation just for
# shits and giggles
x_center = (B * E - (2 * C * D)) / (4 * A * C - B ** 2)
y_center = (D * B - (2 * A * E)) / (4 * A * C - B ** 2)
ut.horiz_print('x_center = ', x_center)
ut.horiz_print('y_center = ', y_center)
#-----------------------
# MAJOR AND MINOR AXES
#-----------------------
# Now we are going to determine the major and minor axis
# of this beast. It just the center augmented by the eigenvecs
print('----------------------------------')
# Plot ellipse axis
# !HELP! I DO NOT KNOW WHY I HAVE TO DIVIDE, SQUARE ROOT, AND NEGATE!!!
(evals, evecs) = np.linalg.eig(A_33)
l1, l2 = evals
# The major and minor axis lengths
b = 1 / np.sqrt(l1)
a = 1 / np.sqrt(l2)
v1, v2 = evecs
# Find the transformation to align the axis
nminor = v1
nmajor = v2
dx1, dy1 = (v1 * b)
dx2, dy2 = (v2 * a)
minor = np.array([dx1, -dy1])
major = np.array([dx2, -dy2])
x_axis = np.array([[1], [0]])
cosang = (x_axis.T.dot(nmajor)).T
# Rotation angle
theta = np.arccos(cosang)
print('a = ' + str(a))
print('b = ' + str(b))
print('theta = ' + str(theta[0] / TAU) + ' * 2pi')
# The warped eigenvects should have the same magintude
# As the axis lengths
assert ut.almost_eq(a, major.dot(ltool.rotation_mat2x2(theta))[0])
assert ut.almost_eq(b, minor.dot(ltool.rotation_mat2x2(theta))[1])
try:
# HACK
if len(theta) == 1:
theta = theta[0]
except Exception:
pass
#-----------------------
# ECCENTRICITY
#-----------------------
print('----------------------------------')
print('The eccentricity is determined by:')
print('')
print(' (2 * np.sqrt((A - C) ** 2 + B ** 2)) ')
print('ecc = -----------------------------------------------')
print(' (nu * (A + C) + np.sqrt((A - C) ** 2 + B ** 2))')
print('')
print('(nu is always 1 for ellipses)')
nu = 1
ecc_numer = (2 * np.sqrt((A - C) ** 2 + B ** 2))
ecc_denom = (nu * (A + C) + np.sqrt((A - C) ** 2 + B ** 2))
ecc = np.sqrt(ecc_numer / ecc_denom)
print('ecc = ' + str(ecc))
# Eccentricity is a little easier in axis aligned coordinates
# Make sure they aggree
ecc2 = np.sqrt(1 - (b ** 2) / (a ** 2))
assert ut.almost_eq(ecc, ecc2)
#-----------------------
# APPROXIMATE UNIFORM SAMPLING
#-----------------------
# We are given the keypoint in invA format
print('----------------------------------')
print('Approximate uniform points an inscribed polygon bondary')
#def next_xy(x, y, d):
# # References:
# # http://gamedev.stackexchange.com/questions/1692/what-is-a-simple-algorithm-for-calculating-evenly-distributed-points-on-an-ellip
# num = (b ** 2) * (x ** 2)
# den = ((a ** 2) * ((a ** 2) - (x ** 2)))
# dxdenom = np.sqrt(1 + (num / den))
# deltax = d / dxdenom
# x_ = x + deltax
# y_ = b * np.sqrt(1 - (x_ ** 2) / (a ** 2))
# return x_, y_
def xy_fn(t):
return np.array((a * np.cos(t), b * np.sin(t))).T
#nSamples = 16
#(ix, iy, iv11, iv21, iv22), iv12 = kp, 0
#invV = np.array([[iv11, iv12, ix],
# [iv21, iv22, iy],
# [ 0, 0, 1]])
#theta_list = np.linspace(0, TAU, nSamples)
#cicrle_pts = np.array([(np.cos(t_), np.sin(t_), 1) for t_ in theta_list])
uneven_points = invV.dot(cicrle_pts.T).T[:, 0:2]
#uneven_points2 = xy_fn(theta_list)
def circular_distance(arr):
dist_most_ = ((arr[0:-1] - arr[1:]) ** 2).sum(1)
dist_end_ = ((arr[-1] - arr[0]) ** 2).sum()
return np.sqrt(np.hstack((dist_most_, dist_end_)))
# Calculate the distance from each point on the ellipse to the next
dists = circular_distance(uneven_points)
total_dist = dists.sum()
# Get an even step size
multiplier = 1
step_size = total_dist / (nSamples * multiplier)
# Walk along edge
num_steps_list = []
offset_list = []
dist_walked = 0
total_dist = step_size
for count in range(len(dists)):
segment_len = dists[count]
# Find where your starting location is
offset_list.append(total_dist - dist_walked)
# How far can you possibly go?
total_dist += segment_len
# How many steps can you take?
num_steps = int((total_dist - dist_walked) // step_size)
num_steps_list.append(num_steps)
# Log how much further youve gotten
dist_walked += (num_steps * step_size)
#print('step_size = %r' % step_size)
#print(np.vstack((num_steps_list, dists, offset_list)).T)
# store the percent location at each line segment where
# the cut will be made
cut_list = []
for num, dist, offset in zip(num_steps_list, dists, offset_list):
if num == 0:
cut_list.append([])
continue
offset1 = (step_size - offset) / dist
offset2 = ((num * step_size) - offset) / dist
cut_locs = (np.linspace(offset1, offset2, num, endpoint=True))
cut_list.append(cut_locs)
#print(cut_locs)
# Cut the segments into new better segments
approx_pts = []
nPts = len(uneven_points)
for count, cut_locs in enumerate(cut_list):
for loc in cut_locs:
pt1 = uneven_points[count]
pt2 = uneven_points[(count + 1) % nPts]
# Linearly interpolate between points
new_loc = ((1 - loc) * pt1) + ((loc) * pt2)
approx_pts.append(new_loc)
approx_pts = np.array(approx_pts)
# Warp approx_pts to the unit circle
print('----------------------------------')
print('For each aproximate point, find the closet point on the ellipse')
#new_unit = V.dot(approx_pts.T).T
ones_ = np.ones(len(approx_pts))
new_hlocs = np.vstack((approx_pts.T, ones_))
new_unit = V.dot(new_hlocs).T
# normalize new_unit
new_mag = np.sqrt((new_unit ** 2).sum(1))
new_unorm_unit = new_unit / np.vstack([new_mag] * 3).T
new_norm_unit = new_unorm_unit / np.vstack([new_unorm_unit[:, 2]] * 3).T
# Get angle (might not be necessary)
x_axis = np.array([1, 0, 0])
arccos_list = x_axis.dot(new_norm_unit.T)
uniform_theta_list = np.arccos(arccos_list)
# Maybe this?
uniform_theta_list = np.arctan2(new_norm_unit[:, 1], new_norm_unit[:, 0])
#
unevn_cicrle_pts = np.array([(np.cos(t_), np.sin(t_), 1) for t_ in uniform_theta_list])
# This is the output. Approximately uniform points sampled along an ellipse
uniform_ell_pts = invV.dot(unevn_cicrle_pts.T).T
#uniform_ell_pts = invV.dot(new_norm_unit.T).T
_plotpts(approx_pts, 0, df2.YELLOW, label='approx points', marker='o-')
_plotpts(uniform_ell_pts, 0, df2.RED, label='uniform points', marker='o-')
# Desired number of points
#ecc = np.sqrt(1 - (b ** 2) / (a ** 2))
# Total arclength
#total_arclen = ellipeinc(TAU, ecc)
#firstquad_arclen = total_arclen / 4
# Desired arclength between points
#d = firstquad_arclen / nSamples
# Initial point
#x, y = xy_fn(.001)
#uniform_points = []
#for count in range(nSamples):
# if np.isnan(x_) or np.isnan(y_):
# print('nan on count=%r' % count)
# break
# uniform_points.append((x_, y_))
# The angle between the major axis and our x axis is:
#-----------------------
# DRAWING
#-----------------------
print('----------------------------------')
# Draw the keypoint using the tried and true df2
# Other things should subsiquently align
#df2.draw_kpts2(np.array([kp]), ell_linewidth=4,
# ell_color=df2.DEEP_PINK, ell_alpha=1, arrow=True, rect=True)
# Plot ellipse points
_plotpts(ellipse_pts1, 0, df2.LIGHT_BLUE, label='invV.dot(cicrle_pts.T).T', marker='o-')
_plotarrow(x_center, y_center, dx1, -dy1, color=df2.GRAY, label='minor axis')
_plotarrow(x_center, y_center, dx2, -dy2, color=df2.GRAY, label='major axis')
# Rotate the ellipse so it is axis aligned and plot that
rot = ltool.rotation_around_mat3x3(theta, ix, iy)
ellipse_pts3 = rot.dot(ellipse_pts1.T).T
#!_plotpts(ellipse_pts3, 0, df2.GREEN, label='axis aligned points')
# Plot ellipse orientation
ortho_basis = np.eye(3)[:, 0:2]
orient_axis = invV.dot(ortho_basis)
print(orient_axis)
_dx1, _dx2, _dy1, _dy2, _1, _2 = orient_axis.flatten()
#!_plotarrow(x_center, y_center, _dx1, _dy1, color=df2.BLUE, label='ellipse rotation')
#!_plotarrow(x_center, y_center, _dx2, _dy2, color=df2.BLUE)
#df2.plt.gca().set_xlim(400, 600)
#df2.plt.gca().set_ylim(300, 500)
xmin, ymin = ellipse_pts1.min(0)[0:2] - 1
xmax, ymax = ellipse_pts1.max(0)[0:2] + 1
df2.plt.gca().set_xlim(xmin, xmax)
df2.plt.gca().set_ylim(ymin, ymax)
df2.legend()
df2.dark_background(doubleit=3)
df2.gca().invert_yaxis()
# Hack in another view
# It seems like the even points are not actually that even.
# there must be a bug
df2.figure(fnum=9003 + 1, docla=True, doclf=True, pnum=(1, 3, 1))
_plotpts(ellipse_pts1, 0, df2.LIGHT_BLUE, label='invV.dot(cicrle_pts.T).T', marker='o-', title='even')
df2.plt.gca().set_xlim(xmin, xmax)
df2.plt.gca().set_ylim(ymin, ymax)
df2.dark_background(doubleit=3)
df2.gca().invert_yaxis()
df2.figure(fnum=9003 + 1, pnum=(1, 3, 2))
_plotpts(approx_pts, 0, df2.YELLOW, label='approx points', marker='o-', title='approx')
df2.plt.gca().set_xlim(xmin, xmax)
df2.plt.gca().set_ylim(ymin, ymax)
df2.dark_background(doubleit=3)
df2.gca().invert_yaxis()
df2.figure(fnum=9003 + 1, pnum=(1, 3, 3))
_plotpts(uniform_ell_pts, 0, df2.RED, label='uniform points', marker='o-', title='uniform')
df2.plt.gca().set_xlim(xmin, xmax)
df2.plt.gca().set_ylim(ymin, ymax)
df2.dark_background(doubleit=3)
df2.gca().invert_yaxis()
return locals()
def _compute_multiassign_weights(_idx2_wx,
_idx2_wdist,
massign_alpha=1.2,
massign_sigma=80.0,
massign_equal_weights=False):
"""
Multi Assignment Weight Filtering from Improving Bag of Features
Args:
massign_equal_weights (): Turns off soft weighting. Gives all assigned
vectors weight 1
Returns:
tuple : (idx2_wxs, idx2_maws)
References:
(Improving Bag of Features)
http://lear.inrialpes.fr/pubs/2010/JDS10a/jegou_improvingbof_preprint.pdf
(Lost in Quantization)
http://www.robots.ox.ac.uk/~vgg/publications/papers/philbin08.ps.gz
(A Context Dissimilarity Measure for Accurate and Efficient Image Search)
https://lear.inrialpes.fr/pubs/2007/JHS07/jegou_cdm.pdf
Example:
>>> massign_alpha = 1.2
>>> massign_sigma = 80.0
>>> massign_equal_weights = False
Notes:
sigma values from \cite{philbin_lost08}
(70 ** 2) ~= 5000, (80 ** 2) ~= 6250, (86 ** 2) ~= 7500,
"""
if not ut.QUIET:
print('[smk_index.assign] compute_multiassign_weights_')
if _idx2_wx.shape[1] <= 1:
idx2_wxs = _idx2_wx.tolist()
idx2_maws = [[1.0]] * len(idx2_wxs)
else:
# Valid word assignments are beyond fraction of distance to the nearest word
massign_thresh = _idx2_wdist.T[0:1].T.copy()
# HACK: If the nearest word has distance 0 then this threshold is too hard
# so we should use the distance to the second nearest word.
EXACT_MATCH_HACK = True
if EXACT_MATCH_HACK:
flag_too_close = (massign_thresh == 0)
massign_thresh[flag_too_close] = _idx2_wdist.T[1:2].T[
flag_too_close]
# Compute the threshold fraction
epsilon = .001
np.add(epsilon, massign_thresh, out=massign_thresh)
np.multiply(massign_alpha, massign_thresh, out=massign_thresh)
# Mark assignments as invalid if they are too far away from the nearest assignment
invalid = np.greater_equal(_idx2_wdist, massign_thresh)
if ut.VERBOSE:
nInvalid = (invalid.size - invalid.sum(), invalid.size)
print('[maw] + massign_alpha = %r' % (massign_alpha, ))
print('[maw] + massign_sigma = %r' % (massign_sigma, ))
print('[maw] + massign_equal_weights = %r' %
(massign_equal_weights, ))
print('[maw] * Marked %d/%d assignments as invalid' % nInvalid)
if massign_equal_weights:
# Performance hack from jegou paper: just give everyone equal weight
masked_wxs = np.ma.masked_array(_idx2_wx, mask=invalid)
idx2_wxs = list(map(ut.filter_Nones, masked_wxs.tolist()))
#ut.embed()
if ut.DEBUG2:
assert all([isinstance(wxs, list) for wxs in idx2_wxs])
idx2_maws = [
np.ones(len(wxs), dtype=np.float32) for wxs in idx2_wxs
]
else:
# More natural weighting scheme
# Weighting as in Lost in Quantization
gauss_numer = np.negative(_idx2_wdist.astype(np.float64))
gauss_denom = 2 * (massign_sigma**2)
gauss_exp = np.divide(gauss_numer, gauss_denom)
unnorm_maw = np.exp(gauss_exp)
# Mask invalid multiassignment weights
masked_unorm_maw = np.ma.masked_array(unnorm_maw, mask=invalid)
# Normalize multiassignment weights from 0 to 1
masked_norm = masked_unorm_maw.sum(axis=1)[:, np.newaxis]
masked_maw = np.divide(masked_unorm_maw, masked_norm)
masked_wxs = np.ma.masked_array(_idx2_wx, mask=invalid)
# Remove masked weights and word indexes
idx2_wxs = list(map(ut.filter_Nones, masked_wxs.tolist()))
idx2_maws = list(map(ut.filter_Nones, masked_maw.tolist()))
#with ut.EmbedOnException():
if ut.DEBUG2:
checksum = [sum(maws) for maws in idx2_maws]
for x in np.where(
[not ut.almost_eq(val, 1) for val in checksum])[0]:
print(checksum[x])
print(_idx2_wx[x])
print(masked_wxs[x])
print(masked_maw[x])
print(massign_thresh[x])
print(_idx2_wdist[x])
#all([ut.almost_eq(x, 1) for x in checksum])
assert all([ut.almost_eq(val, 1) for val in checksum
]), 'weights did not break evenly'
return idx2_wxs, idx2_maws
def in_depth_ellipse(kp):
"""
Makes sure that I understand how the ellipse is created form a keypoint
representation. Walks through the steps I took in coming to an
understanding.
CommandLine:
python -m pyhesaff.tests.test_ellipse --test-in_depth_ellipse --show --num-samples=12
Example:
>>> # SCRIPT
>>> from pyhesaff.tests.test_ellipse import * # NOQA
>>> import pyhesaff.tests.pyhestest as pyhestest
>>> test_data = pyhestest.load_test_data(short=True)
>>> kpts = test_data['kpts']
>>> kp = kpts[0]
>>> #kp = np.array([0, 0, 10, 10, 10, 0])
>>> test_locals = in_depth_ellipse(kp)
>>> ut.quit_if_noshow()
>>> ut.show_if_requested()
"""
import plottool as pt
#nSamples = 12
nSamples = ut.get_argval('--num-samples', type_=int, default=12)
kp = np.array(kp, dtype=np.float64)
#-----------------------
# SETUP
#-----------------------
np.set_printoptions(precision=3)
#pt.reset()
pt.figure(9003, docla=True, doclf=True)
ax = pt.gca()
ax.invert_yaxis()
def _plotpts(data, px, color=pt.BLUE, label='', marker='.', **kwargs):
#pt.figure(9003, docla=True, pnum=(1, 1, px))
pt.plot2(data.T[0],
data.T[1],
marker,
'',
color=color,
label=label,
**kwargs)
#pt.update()
def _plotarrow(x, y, dx, dy, color=pt.BLUE, label=''):
ax = pt.gca()
arrowargs = dict(head_width=.5, length_includes_head=True, label=label)
arrow = mpl.patches.FancyArrow(x, y, dx, dy, **arrowargs)
arrow.set_edgecolor(color)
arrow.set_facecolor(color)
ax.add_patch(arrow)
#pt.update()
#-----------------------
# INPUT
#-----------------------
print('kp = %s' % ut.repr2(kp, precision=3))
print('--------------------------------')
print('Let V = Perdoch.A')
print('Let Z = Perdoch.E')
print('Let invV = Perdoch.invA')
print('--------------------------------')
print('Input from Perdoch\'s detector: ')
# We are given the keypoint in invA format
if len(kp) == 5:
(ix, iy, iv11, iv21, iv22) = kp
iv12 = 0
elif len(kp) == 6:
(ix, iy, iv11, iv21, iv22, ori) = kp
iv12 = 0
invV = np.array([[iv11, iv12, ix], [iv21, iv22, iy], [0, 0, 1]])
V = np.linalg.inv(invV)
Z = (V.T).dot(V)
import vtool as vt
V_2x2 = V[0:2, 0:2]
Z_2x2 = Z[0:2, 0:2]
V_2x2_ = vt.decompose_Z_to_V_2x2(Z_2x2)
assert np.all(np.isclose(V_2x2, V_2x2_))
#C = np.linalg.cholesky(Z)
#np.isclose(C.dot(C.T), Z)
#Z
print('invV is a transform from points on a unit-circle to the ellipse')
ut.horiz_print('invV = ', invV)
print('--------------------------------')
print('V is a transformation from points on the ellipse to a unit circle')
ut.horiz_print('V = ', V)
print('--------------------------------')
print('An ellipse is a special case of a conic. For any ellipse:')
print(
'Points on the ellipse satisfy (x_ - x_0).T.dot(Z).dot(x_ - x_0) = 1')
print('where Z = (V.T).dot(V)')
ut.horiz_print('Z = ', Z)
# Define points on a unit circle
theta_list = np.linspace(0, TAU, nSamples)
cicrle_pts = np.array([(np.cos(t_), np.sin(t_), 1) for t_ in theta_list])
# Transform those points to the ellipse using invV
ellipse_pts1 = invV.dot(cicrle_pts.T).T
#Lets check our assertion: (x_ - x_0).T.dot(Z).dot(x_ - x_0) == 1
x_0 = np.array([ix, iy, 1])
checks = [(x_ - x_0).T.dot(Z).dot(x_ - x_0) for x_ in ellipse_pts1]
try:
# HELP: The phase is off here. in 3x3 version I'm not sure why
#assert all([almost_eq(1, check) for check in checks1])
is_almost_eq_pos1 = [ut.almost_eq(1, check) for check in checks]
is_almost_eq_neg1 = [ut.almost_eq(-1, check) for check in checks]
assert all(is_almost_eq_pos1)
except AssertionError as ex:
print('circle pts = %r ' % cicrle_pts)
print(ex)
print(checks)
print([ut.almost_eq(-1, check, 1E-9) for check in checks])
raise
else:
#assert all([abs(1 - check) < 1E-11 for check in checks2])
print('... all of our plotted points satisfy this')
#=======================
# THE CONIC SECTION
#=======================
# All of this was from the Perdoch paper, now lets move into conic sections
# We will use the notation from wikipedia
# References:
# http://en.wikipedia.org/wiki/Conic_section
# http://en.wikipedia.org/wiki/Matrix_representation_of_conic_sections
#-----------------------
# MATRIX REPRESENTATION
#-----------------------
# The matrix representation of a conic is:
#(A, B2, B2_, C) = Z.flatten()
#(D, E, F) = (0, 0, 1)
(A, B2, D2, B2_, C, E2, D2_, E2_, F) = Z.flatten()
B = B2 * 2
D = D2 * 2
E = E2 * 2
assert B2 == B2_, 'matrix should by symmetric'
assert D2 == D2_, 'matrix should by symmetric'
assert E2 == E2_, 'matrix should by symmetric'
print('--------------------------------')
print('Now, using wikipedia\' matrix representation of a conic.')
con = np.array(((' A', 'B / 2', 'D / 2'), ('B / 2', ' C', 'E / 2'),
('D / 2', 'E / 2', ' F')))
ut.horiz_print('A matrix A_Q = ', con)
# A_Q is our conic section (aka ellipse matrix)
A_Q = np.array(((A, B / 2, D / 2), (B / 2, C, E / 2), (D / 2, E / 2, F)))
ut.horiz_print('A_Q = ', A_Q)
#-----------------------
# DEGENERATE CONICS
# References:
# http://individual.utoronto.ca/somody/quiz.html
print('----------------------------------')
print('As long as det(A_Q) != it is not degenerate.')
print('If the conic is not degenerate, we can use the 2x2 minor: A_33')
print('det(A_Q) = %s' % str(np.linalg.det(A_Q)))
assert np.linalg.det(A_Q) != 0, 'degenerate conic'
A_33 = np.array(((A, B / 2), (B / 2, C)))
ut.horiz_print('A_33 = ', A_33)
#-----------------------
# CONIC CLASSIFICATION
#-----------------------
print('----------------------------------')
print('The determinant of the minor classifies the type of conic it is')
print('(det == 0): parabola, (det < 0): hyperbola, (det > 0): ellipse')
print('det(A_33) = %s' % str(np.linalg.det(A_33)))
assert np.linalg.det(A_33) > 0, 'conic is not an ellipse'
print('... this is indeed an ellipse')
#-----------------------
# CONIC CENTER
#-----------------------
print('----------------------------------')
print('the centers of the ellipse are obtained by: ')
print('x_center = (B * E - (2 * C * D)) / (4 * A * C - B ** 2)')
print('y_center = (D * B - (2 * A * E)) / (4 * A * C - B ** 2)')
# Centers are obtained by solving for where the gradient of the quadratic
# becomes 0. Without going through the derivation the calculation is...
# These should be 0, 0 if we are at the origin, or our original x, y
# coordinate specified by the keypoints. I'm doing the calculation just for
# shits and giggles
x_center = (B * E - (2 * C * D)) / (4 * A * C - B**2)
y_center = (D * B - (2 * A * E)) / (4 * A * C - B**2)
ut.horiz_print('x_center = ', x_center)
ut.horiz_print('y_center = ', y_center)
#-----------------------
# MAJOR AND MINOR AXES
#-----------------------
# Now we are going to determine the major and minor axis
# of this beast. It just the center augmented by the eigenvecs
print('----------------------------------')
# Plot ellipse axis
# !HELP! I DO NOT KNOW WHY I HAVE TO DIVIDE, SQUARE ROOT, AND NEGATE!!!
(evals, evecs) = np.linalg.eig(A_33)
l1, l2 = evals
# The major and minor axis lengths
b = 1 / np.sqrt(l1)
a = 1 / np.sqrt(l2)
v1, v2 = evecs
# Find the transformation to align the axis
nminor = v1
nmajor = v2
dx1, dy1 = (v1 * b)
dx2, dy2 = (v2 * a)
minor = np.array([dx1, -dy1])
major = np.array([dx2, -dy2])
x_axis = np.array([[1], [0]])
cosang = (x_axis.T.dot(nmajor)).T
# Rotation angle
theta = np.arccos(cosang)
print('a = ' + str(a))
print('b = ' + str(b))
print('theta = ' + str(theta[0] / TAU) + ' * 2pi')
# The warped eigenvects should have the same magintude
# As the axis lengths
assert ut.almost_eq(a, major.dot(ltool.rotation_mat2x2(theta))[0])
assert ut.almost_eq(b, minor.dot(ltool.rotation_mat2x2(theta))[1])
try:
# HACK
if len(theta) == 1:
theta = theta[0]
except Exception:
pass
#-----------------------
# ECCENTRICITY
#-----------------------
print('----------------------------------')
print('The eccentricity is determined by:')
print('')
print(' (2 * np.sqrt((A - C) ** 2 + B ** 2)) ')
print('ecc = -----------------------------------------------')
print(' (nu * (A + C) + np.sqrt((A - C) ** 2 + B ** 2))')
print('')
print('(nu is always 1 for ellipses)')
nu = 1
ecc_numer = (2 * np.sqrt((A - C)**2 + B**2))
ecc_denom = (nu * (A + C) + np.sqrt((A - C)**2 + B**2))
ecc = np.sqrt(ecc_numer / ecc_denom)
print('ecc = ' + str(ecc))
# Eccentricity is a little easier in axis aligned coordinates
# Make sure they aggree
ecc2 = np.sqrt(1 - (b**2) / (a**2))
assert ut.almost_eq(ecc, ecc2)
#-----------------------
# APPROXIMATE UNIFORM SAMPLING
#-----------------------
# We are given the keypoint in invA format
print('----------------------------------')
print('Approximate uniform points an inscribed polygon bondary')
#def next_xy(x, y, d):
# # References:
# # http://gamedev.stackexchange.com/questions/1692/what-is-a-simple-algorithm-for-calculating-evenly-distributed-points-on-an-ellip
# num = (b ** 2) * (x ** 2)
# den = ((a ** 2) * ((a ** 2) - (x ** 2)))
# dxdenom = np.sqrt(1 + (num / den))
# deltax = d / dxdenom
# x_ = x + deltax
# y_ = b * np.sqrt(1 - (x_ ** 2) / (a ** 2))
# return x_, y_
def xy_fn(t):
return np.array((a * np.cos(t), b * np.sin(t))).T
#nSamples = 16
#(ix, iy, iv11, iv21, iv22), iv12 = kp, 0
#invV = np.array([[iv11, iv12, ix],
# [iv21, iv22, iy],
# [ 0, 0, 1]])
#theta_list = np.linspace(0, TAU, nSamples)
#cicrle_pts = np.array([(np.cos(t_), np.sin(t_), 1) for t_ in theta_list])
uneven_points = invV.dot(cicrle_pts.T).T[:, 0:2]
#uneven_points2 = xy_fn(theta_list)
def circular_distance(arr):
dist_most_ = ((arr[0:-1] - arr[1:])**2).sum(1)
dist_end_ = ((arr[-1] - arr[0])**2).sum()
return np.sqrt(np.hstack((dist_most_, dist_end_)))
# Calculate the distance from each point on the ellipse to the next
dists = circular_distance(uneven_points)
total_dist = dists.sum()
# Get an even step size
multiplier = 1
step_size = total_dist / (nSamples * multiplier)
# Walk along edge
num_steps_list = []
offset_list = []
dist_walked = 0
total_dist = step_size
for count in range(len(dists)):
segment_len = dists[count]
# Find where your starting location is
offset_list.append(total_dist - dist_walked)
# How far can you possibly go?
total_dist += segment_len
# How many steps can you take?
num_steps = int((total_dist - dist_walked) // step_size)
num_steps_list.append(num_steps)
# Log how much further youve gotten
dist_walked += (num_steps * step_size)
#print('step_size = %r' % step_size)
#print(np.vstack((num_steps_list, dists, offset_list)).T)
# store the percent location at each line segment where
# the cut will be made
cut_list = []
for num, dist, offset in zip(num_steps_list, dists, offset_list):
if num == 0:
cut_list.append([])
continue
offset1 = (step_size - offset) / dist
offset2 = ((num * step_size) - offset) / dist
cut_locs = (np.linspace(offset1, offset2, num, endpoint=True))
cut_list.append(cut_locs)
#print(cut_locs)
# Cut the segments into new better segments
approx_pts = []
nPts = len(uneven_points)
for count, cut_locs in enumerate(cut_list):
for loc in cut_locs:
pt1 = uneven_points[count]
pt2 = uneven_points[(count + 1) % nPts]
# Linearly interpolate between points
new_loc = ((1 - loc) * pt1) + ((loc) * pt2)
approx_pts.append(new_loc)
approx_pts = np.array(approx_pts)
# Warp approx_pts to the unit circle
print('----------------------------------')
print('For each aproximate point, find the closet point on the ellipse')
#new_unit = V.dot(approx_pts.T).T
ones_ = np.ones(len(approx_pts))
new_hlocs = np.vstack((approx_pts.T, ones_))
new_unit = V.dot(new_hlocs).T
# normalize new_unit
new_mag = np.sqrt((new_unit**2).sum(1))
new_unorm_unit = new_unit / np.vstack([new_mag] * 3).T
new_norm_unit = new_unorm_unit / np.vstack([new_unorm_unit[:, 2]] * 3).T
# Get angle (might not be necessary)
x_axis = np.array([1, 0, 0])
arccos_list = x_axis.dot(new_norm_unit.T)
uniform_theta_list = np.arccos(arccos_list)
# Maybe this?
uniform_theta_list = np.arctan2(new_norm_unit[:, 1], new_norm_unit[:, 0])
#
unevn_cicrle_pts = np.array([(np.cos(t_), np.sin(t_), 1)
for t_ in uniform_theta_list])
# This is the output. Approximately uniform points sampled along an ellipse
uniform_ell_pts = invV.dot(unevn_cicrle_pts.T).T
#uniform_ell_pts = invV.dot(new_norm_unit.T).T
_plotpts(approx_pts, 0, pt.YELLOW, label='approx points', marker='o-')
_plotpts(uniform_ell_pts, 0, pt.RED, label='uniform points', marker='o-')
# Desired number of points
#ecc = np.sqrt(1 - (b ** 2) / (a ** 2))
# Total arclength
#total_arclen = ellipeinc(TAU, ecc)
#firstquad_arclen = total_arclen / 4
# Desired arclength between points
#d = firstquad_arclen / nSamples
# Initial point
#x, y = xy_fn(.001)
#uniform_points = []
#for count in range(nSamples):
# if np.isnan(x_) or np.isnan(y_):
# print('nan on count=%r' % count)
# break
# uniform_points.append((x_, y_))
# The angle between the major axis and our x axis is:
#-----------------------
# DRAWING
#-----------------------
print('----------------------------------')
# Draw the keypoint using the tried and true pt
# Other things should subsiquently align
#pt.draw_kpts2(np.array([kp]), ell_linewidth=4,
# ell_color=pt.DEEP_PINK, ell_alpha=1, arrow=True, rect=True)
# Plot ellipse points
_plotpts(ellipse_pts1,
0,
pt.LIGHT_BLUE,
label='invV.dot(cicrle_pts.T).T',
marker='o-')
_plotarrow(x_center,
y_center,
dx1,
-dy1,
color=pt.GRAY,
label='minor axis')
_plotarrow(x_center,
y_center,
dx2,
-dy2,
color=pt.GRAY,
label='major axis')
# Rotate the ellipse so it is axis aligned and plot that
rot = ltool.rotation_around_mat3x3(theta, ix, iy)
ellipse_pts3 = rot.dot(ellipse_pts1.T).T
#!_plotpts(ellipse_pts3, 0, pt.GREEN, label='axis aligned points')
# Plot ellipse orientation
ortho_basis = np.eye(3)[:, 0:2]
orient_axis = invV.dot(ortho_basis)
print(orient_axis)
_dx1, _dx2, _dy1, _dy2, _1, _2 = orient_axis.flatten()
#!_plotarrow(x_center, y_center, _dx1, _dy1, color=pt.BLUE, label='ellipse rotation')
#!_plotarrow(x_center, y_center, _dx2, _dy2, color=pt.BLUE)
#pt.plt.gca().set_xlim(400, 600)
#pt.plt.gca().set_ylim(300, 500)
xmin, ymin = ellipse_pts1.min(0)[0:2] - 1
xmax, ymax = ellipse_pts1.max(0)[0:2] + 1
pt.plt.gca().set_xlim(xmin, xmax)
pt.plt.gca().set_ylim(ymin, ymax)
pt.legend()
pt.dark_background(doubleit=3)
pt.gca().invert_yaxis()
# Hack in another view
# It seems like the even points are not actually that even.
# there must be a bug
pt.figure(fnum=9003 + 1, docla=True, doclf=True, pnum=(1, 3, 1))
_plotpts(ellipse_pts1,
0,
pt.LIGHT_BLUE,
label='invV.dot(cicrle_pts.T).T',
marker='o-',
title='even')
pt.plt.gca().set_xlim(xmin, xmax)
pt.plt.gca().set_ylim(ymin, ymax)
pt.dark_background(doubleit=3)
pt.gca().invert_yaxis()
pt.figure(fnum=9003 + 1, pnum=(1, 3, 2))
_plotpts(approx_pts,
0,
pt.YELLOW,
label='approx points',
marker='o-',
title='approx')
pt.plt.gca().set_xlim(xmin, xmax)
pt.plt.gca().set_ylim(ymin, ymax)
pt.dark_background(doubleit=3)
pt.gca().invert_yaxis()
pt.figure(fnum=9003 + 1, pnum=(1, 3, 3))
_plotpts(uniform_ell_pts,
0,
pt.RED,
label='uniform points',
marker='o-',
title='uniform')
pt.plt.gca().set_xlim(xmin, xmax)
pt.plt.gca().set_ylim(ymin, ymax)
pt.dark_background(doubleit=3)
pt.gca().invert_yaxis()
return locals()
def main_smk_debug():
"""
CommandLine:
python -m ibeis.algo.hots.smk.smk_debug --test-main_smk_debug
Example:
>>> from ibeis.algo.hots.smk.smk_debug import * # NOQA
>>> main_smk_debug()
"""
print('+------------')
print('SMK_DEBUG MAIN')
print('+------------')
from ibeis.algo.hots import pipeline
ibs, annots_df, taids, daids, qaids, qreq_, nWords = testdata_dataframe()
# Query using SMK
#qaid = qaids[0]
nWords = qreq_.qparams.nWords
aggregate = qreq_.qparams.aggregate
smk_alpha = qreq_.qparams.smk_alpha
smk_thresh = qreq_.qparams.smk_thresh
nAssign = qreq_.qparams.nAssign
#aggregate = ibs.cfg.query_cfg.smk_cfg.aggregate
#smk_alpha = ibs.cfg.query_cfg.smk_cfg.smk_alpha
#smk_thresh = ibs.cfg.query_cfg.smk_cfg.smk_thresh
print('+------------')
print('SMK_DEBUG PARAMS')
print('[smk_debug] aggregate = %r' % (aggregate, ))
print('[smk_debug] smk_alpha = %r' % (smk_alpha, ))
print('[smk_debug] smk_thresh = %r' % (smk_thresh, ))
print('[smk_debug] nWords = %r' % (nWords, ))
print('[smk_debug] nAssign = %r' % (nAssign, ))
print('L------------')
# Learn vocabulary
#words = qreq_.words = smk_index.learn_visual_words(annots_df, taids, nWords)
# Index a database of annotations
#qreq_.invindex = smk_repr.index_data_annots(annots_df, daids, words, aggregate, smk_alpha, smk_thresh)
qreq_.ibs = ibs
# Smk Mach
print('+------------')
print('SMK_DEBUG MATCH KERNEL')
print('+------------')
qaid2_scores, qaid2_chipmatch_SMK = smk_match.execute_smk_L5(qreq_)
SVER = ut.get_argflag('--sver')
if SVER:
print('+------------')
print('SMK_DEBUG SVER? YES!')
print('+------------')
qaid2_chipmatch_SVER_ = pipeline.spatial_verification(
qaid2_chipmatch_SMK, qreq_)
qaid2_chipmatch = qaid2_chipmatch_SVER_
else:
print('+------------')
print('SMK_DEBUG SVER? NO')
print('+------------')
qaid2_chipmatch = qaid2_chipmatch_SMK
print('+------------')
print('SMK_DEBUG DISPLAY RESULT')
print('+------------')
cm_list = convert_smkmatch_to_chipmatch(qaid2_chipmatch, qaid2_scores)
#filt2_meta = {}
#qaid2_qres_ = pipeline.chipmatch_to_resdict(qaid2_chipmatch, filt2_meta, qreq_)
qaid2_qres_ = pipeline.chipmatch_to_resdict(qreq_, cm_list)
#qaid2_qres_ = pipeline.chipmatch_to_resdict(qaid2_chipmatch, filt2_meta, qreq_)
for count, (qaid, qres) in enumerate(six.iteritems(qaid2_qres_)):
print('+================')
#qres = qaid2_qres_[qaid]
qres.show_top(ibs, fnum=count)
for aid in qres.aid2_score.keys():
smkscore = qaid2_scores[qaid][aid]
sumscore = qres.aid2_score[aid]
if not ut.almost_eq(smkscore, sumscore):
print('scorediff aid=%r, smkscore=%r, sumscore=%r' %
(aid, smkscore, sumscore))
scores = qaid2_scores[qaid]
#print(scores)
print(qres.get_inspect_str(ibs))
print('L================')
#ut.embed()
#print(qres.aid2_fs)
#daid2_totalscore, cmtup_old = smk_index.query_inverted_index(annots_df, qaid, invindex)
## Pack into QueryResult
#qaid2_chipmatch = {qaid: cmtup_old}
#qaid2_qres_ = pipeline.chipmatch_to_resdict(qaid2_chipmatch, {}, qreq_)
## Show match
#daid2_totalscore.sort(axis=1, ascending=False)
#print(daid2_totalscore)
#daid2_totalscore2, cmtup_old = query_inverted_index(annots_df, daids[0], invindex)
#print(daid2_totalscore2)
#display_info(ibs, invindex, annots_df)
print('finished main')
return locals()