def radar_coord_int(demminmax, i12s, cohs, h2phs, ref=None, multilook=1, samples=1000, stepsize=None, study_area=None):
"""radar_coord_dem(dem, i12s, cohs, dem_std=10, ref=None):
demminmax=vector: minimum and maximum values for dem.
i12s: [K,M,N]
cohs: [K,M,N]
h2phs: [K,M,N]
dem_std: scalar or [M,N]
ref: None or tuple (m,n)
multilook: level of SAR multilooking
samples=1000, number of samples for search domain
stepsize= height sensitivity to use instead of samples to constract search space.
study_area= [m0, mM, n0, nN]
"""
i12s=i12s*tile( conj(i12s[:,ref[0],ref[1]]), (i12s.shape[2], i12s.shape[1], 1) ).T #zero reference
if study_area is not None:
i12s = i12s[:, study_area[0]:study_area[1], study_area[2]:study_area[3]]
cohs = cohs[:, study_area[0]:study_area[1], study_area[2]:study_area[3]]
h2phs=h2phs[:, study_area[0]:study_area[1], study_area[2]:study_area[3]]
M=i12s.shape[1];
N=i12s.shape[2];
z=zeros([M,N]); #initialize output
t=0;
for m in xrange(M):
for n in xrange(N):
z[m,n]=point_solve_int(demminmax, i12s[:,m,n], cohs[:,m,n], h2phs[:,m,n], multilook, samples=samples, stepsize=stepsize);
if basic.progresstime(t0=t,timeSpan=30):
t=basic.time.time()
basic.progress(p=m,t=M,f="%.3f ")
return z
def data_from_image(im, classes, mask, limits=[0., 1.]):
""" This function extracts the data from a image, based on the classes and a mask.
Once the data is masked, a look-up-table is used to set values to the classes.
"""
import time
N = int(basic.nonan(classes).max() + 1)
# zero is a class...
classes[mask] = np.nan
classLimits = np.linspace(np.min(limits), np.max(limits), N)
cmax = 2**np.round(np.log2(im.max()))
imSingle = im[:, :, 0] * (cmax**0) + im[:, :, 1] * (
cmax**1) + im[:, :, 2] * (cmax**2.)
data = np.zeros(imSingle.shape)
t0 = 0
for k in xrange(N - 1):
#for each class do a linear interpolation
if np.any(classes == k):
data[classes == k] = basic.rescale(imSingle[classes == k],
classLimits[k:k + 2],
quiet=True)
if basic.progresstime(t0):
basic.progress(k, N)
t0 = time.time()
data[mask] = np.nan
return data
def radar_coord_int(demminmax,
i12s,
cohs,
h2phs,
ref=None,
multilook=1,
samples=1000,
stepsize=None,
study_area=None):
"""radar_coord_dem(dem, i12s, cohs, dem_std=10, ref=None):
demminmax=vector: minimum and maximum values for dem.
i12s: [K,M,N]
cohs: [K,M,N]
h2phs: [K,M,N]
dem_std: scalar or [M,N]
ref: None or tuple (m,n)
multilook: level of SAR multilooking
samples=1000, number of samples for search domain
stepsize= height sensitivity to use instead of samples to constract search space.
study_area= [m0, mM, n0, nN]
"""
i12s = i12s * tile(conj(i12s[:, ref[0], ref[1]]),
(i12s.shape[2], i12s.shape[1], 1)).T #zero reference
if study_area is not None:
i12s = i12s[:, study_area[0]:study_area[1],
study_area[2]:study_area[3]]
cohs = cohs[:, study_area[0]:study_area[1],
study_area[2]:study_area[3]]
h2phs = h2phs[:, study_area[0]:study_area[1],
study_area[2]:study_area[3]]
M = i12s.shape[1]
N = i12s.shape[2]
z = zeros([M, N])
#initialize output
t = 0
for m in xrange(M):
for n in xrange(N):
z[m, n] = point_solve_int(demminmax,
i12s[:, m, n],
cohs[:, m, n],
h2phs[:, m, n],
multilook,
samples=samples,
stepsize=stepsize)
if basic.progresstime(t0=t, timeSpan=30):
t = basic.time.time()
basic.progress(p=m, t=M, f="%.3f ")
return z
def radar_coord_dem(dem, i12s, cohs, h2phs, dem_std=10, ref=None, multilook=1, samples=1000, stepsize=None, study_area=None):
"""radar_coord_dem(dem, i12s, cohs, dem_std=10, ref=None):
dem: [M,N]
i12s: [K,M,N]
cohs: [K,M,N]
h2phs: [K,M,N]
dem_std: scalar or [M,N]
ref: None or tuple (m,n)
multilook: level of SAR multilooking
samples=1000, number of samples for search domain
stepsize= height sensitivity to use instead of samples to constract search space.
study_area= [m0, mM, n0, nN]
"""
z_ref=dem[ref[0],ref[1]];
dem=dem-z_ref; #zero reference
i12s=i12s*tile( conj(i12s[:,ref[0],ref[1]]), (i12s.shape[2], i12s.shape[1], 1) ).T #zero reference
if study_area is not None:
dem = dem [study_area[0]:study_area[1], study_area[2]:study_area[3]]
i12s = i12s[:, study_area[0]:study_area[1], study_area[2]:study_area[3]]
cohs = cohs[:, study_area[0]:study_area[1], study_area[2]:study_area[3]]
h2phs=h2phs[:, study_area[0]:study_area[1], study_area[2]:study_area[3]]
if size(dem_std) != 1:
dem_std=dem_std[study_area[0]:study_area[1], study_area[2]:study_area[3]]
M,N=dem.shape
z=zeros(dem.shape); #initialize output
if size(dem_std) == 1:
#scalar dem_std convert to array
dem_std=ones(dem.shape)*dem_std
elif size(dem_std) != size(dem):
#dem and dem_std has to be the same size
print 'DEM_STD has to be a scalar or the same size as DEM.'
return -1
t=0;
for m in xrange(M):
for n in xrange(N):
z[m,n]=point_solve_dem(dem[m,n], i12s[:,m,n], cohs[:,m,n], h2phs[:,m,n], dem_std[m,n], multilook, samples=samples, stepsize=stepsize);
if basic.progresstime(t0=t,timeSpan=30):
t=basic.time.time()
basic.progress(p=m,t=M,f="%.3f ")
z=z+z_ref
return z
def distance_from_colorbar(im, c=P.cm.jet(np.arange(256))):
""" This function calculates a distance value for all pixels of an image given a colorbar.
It also returns the best fitting colorbar class for each pixel.
e.g.:
import cv2
im=cv2.cvtColor(cv2.imread('REsults_zonaSur_cut.tiff'), cv2.COLOR_BGR2RGB);
dist, classes=distance_from_colorbar(im);
"""
import time
N = c.shape[0]
cmax = 2**np.round(np.log2(im.max()))
if c.max() != cmax:
c256 = c * cmax / c.max()
#colorbar in uint8
else:
c256 = c
dist = np.ones((im.shape[0], im.shape[1])) * np.inf
distOld = dist.copy()
classes = np.zeros((im.shape[0], im.shape[1]))
ccc = 0
#current class counter
t0 = 0
#time.time(); #show 0.0 at the beginning of the loop.
for k in c256:
dist = np.dstack([
dist,
np.sqrt((im[:, :, 0] - k[0])**2. + (im[:, :, 1] - k[1])**2. +
(im[:, :, 2] - k[2])**2.)
]).min(2)
classes[dist != distOld] = ccc
ccc = ccc + 1
distOld = dist
if basic.progresstime(t0):
basic.progress(ccc, N)
t0 = time.time()
return dist, classes
def radar_coord_dem(dem,
i12s,
cohs,
h2phs,
dem_std=10,
ref=None,
multilook=1,
samples=1000,
stepsize=None,
study_area=None):
"""radar_coord_dem(dem, i12s, cohs, dem_std=10, ref=None):
dem: [M,N]
i12s: [K,M,N]
cohs: [K,M,N]
h2phs: [K,M,N]
dem_std: scalar or [M,N]
ref: None or tuple (m,n)
multilook: level of SAR multilooking
samples=1000, number of samples for search domain
stepsize= height sensitivity to use instead of samples to constract search space.
study_area= [m0, mM, n0, nN]
"""
z_ref = dem[ref[0], ref[1]]
dem = dem - z_ref
#zero reference
i12s = i12s * tile(conj(i12s[:, ref[0], ref[1]]),
(i12s.shape[2], i12s.shape[1], 1)).T #zero reference
if study_area is not None:
dem = dem[study_area[0]:study_area[1], study_area[2]:study_area[3]]
i12s = i12s[:, study_area[0]:study_area[1],
study_area[2]:study_area[3]]
cohs = cohs[:, study_area[0]:study_area[1],
study_area[2]:study_area[3]]
h2phs = h2phs[:, study_area[0]:study_area[1],
study_area[2]:study_area[3]]
if size(dem_std) != 1:
dem_std = dem_std[study_area[0]:study_area[1],
study_area[2]:study_area[3]]
M, N = dem.shape
z = zeros(dem.shape)
#initialize output
if size(dem_std) == 1:
#scalar dem_std convert to array
dem_std = ones(dem.shape) * dem_std
elif size(dem_std) != size(dem):
#dem and dem_std has to be the same size
print 'DEM_STD has to be a scalar or the same size as DEM.'
return -1
t = 0
for m in xrange(M):
for n in xrange(N):
z[m, n] = point_solve_dem(dem[m, n],
i12s[:, m, n],
cohs[:, m, n],
h2phs[:, m, n],
dem_std[m, n],
multilook,
samples=samples,
stepsize=stepsize)
if basic.progresstime(t0=t, timeSpan=30):
t = basic.time.time()
basic.progress(p=m, t=M, f="%.3f ")
z = z + z_ref
return z
allDates = master + slave #merge master and slave lists
allDates = sort(list(set(allDates)))
I = len(allDates)
#Number of images (dates)
N = len(ifiles) #Number of interferograms
## the individual ramps are solved in a network fashion such that:
## A x = b where
## Design matrix
## A= SBAS design matrix [1 0 0 0... 0 -1 0 ...]
## x= ramp estimated for each date
## b= ramp estimated for each inteferogram
tk = 0
A = zeros([N + 1, I])
for k in xrange(N):
A[k, :] = (allDates == master[k]) * -1 + (allDates == slave[k]) * 1
if basic.progresstime(tk):
basic.progress(
k,
N,
)
tk = basic.time.time()
A[-1, 0] = 1
pinvA = linalg.pinv(A)
x0 = dot(pinvA, list(ramps[0, :]) + [0]) #merge zero to the end of list
x1 = dot(pinvA, list(ramps[1, :]) + [0]) #merge zero to the end of list
#deramp
print "Deramping interferograms..."
## Calculate Ax
r0 = dot(A, x0)
r1 = dot(A, x1)