def iaskelm(f, B=iasecross(), option="binary"):
from iaisbinary import iaisbinary
from ialimits import ialimits
from iagray import iagray
from iaintersec import iaintersec
from iasesum import iasesum
from iaero import iaero
from iaisequal import iaisequal
from iaopenth import iaopenth
from iasedil import iasedil
from iaunion import iaunion
from iabinary import iabinary
from iapad import iapad
from iaunpad import iaunpad
assert iaisbinary(f),'Input binary image only'
option = upper(option)
f = iapad(f,B)
print f
k1,k2 = ialimits(f)
y = iagray( iaintersec(f, k1),'uint16')
iszero = asarray(y)
nb = iasesum(B,0)
for r in range(1,65535):
ero = iaero( f, nb)
if iaisequal(ero, iszero): break
f1 = iaopenth( ero, B)
nb = iasedil(nb, B)
y = iaunion(y, iagray(f1,'uint16',r))
if option == 'BINARY':
y = iabinary(y)
y = iaunpad(y,B)
return y
def iaskelm(f, B=iasecross(), option="binary"):
from iaisbinary import iaisbinary
from ialimits import ialimits
from iagray import iagray
from iaintersec import iaintersec
from iasesum import iasesum
from iaero import iaero
from iaisequal import iaisequal
from iaopenth import iaopenth
from iasedil import iasedil
from iaunion import iaunion
from iabinary import iabinary
from iapad import iapad
from iaunpad import iaunpad
assert iaisbinary(f), 'Input binary image only'
option = upper(option)
f = iapad(f, B)
print f
k1, k2 = ialimits(f)
y = iagray(iaintersec(f, k1), 'uint16')
iszero = asarray(y)
nb = iasesum(B, 0)
for r in range(1, 65535):
ero = iaero(f, nb)
if iaisequal(ero, iszero): break
f1 = iaopenth(ero, B)
nb = iasedil(nb, B)
y = iaunion(y, iagray(f1, 'uint16', r))
if option == 'BINARY':
y = iabinary(y)
y = iaunpad(y, B)
return y
def iadil(f, b=None):
from iamat2set import iamat2set
from ialimits import ialimits
from iaisbinary import iaisbinary
from iaintersec import iaintersec
from iagray import iagray
from iaadd4dil import iaadd4dil
from iasecross import iasecross
if b is None: b = iasecross()
if len(f.shape) == 1: f = f[newaxis,:]
h,w = f.shape
x,v = iamat2set(b)
if len(x)==0:
y = (ones((h,w)) * ialimits(f)[0]).astype(f.dtype)
else:
if iaisbinary(v):
v = iaintersec( iagray(v,'int32'),0)
mh,mw = max(abs(x)[:,0]),max(abs(x)[:,1])
y = (ones((h+2*mh,w+2*mw)) * ialimits(f)[0]).astype(f.dtype)
for i in range(x.shape[0]):
if v[i] > -2147483647:
y[mh+x[i,0]:mh+x[i,0]+h, mw+x[i,1]:mw+x[i,1]+w] = maximum(
y[mh+x[i,0]:mh+x[i,0]+h, mw+x[i,1]:mw+x[i,1]+w], iaadd4dil(f,v[i]))
y = y[mh:mh+h, mw:mw+w]
return y
def iadist(f, Bc=iasecross(), METRIC=None):
from iagray import iagray
from iaintersec import iaintersec
from iaisequal import iaisequal
from iaero import iaero
from iasebox import iasebox
if METRIC is not None: METRIC = METRIC.upper()
f = iagray(f, 'uint16')
y = iaintersec(f, 0)
if (METRIC == 'EUCLIDEAN') or (METRIC == 'EUC2'):
f = int32(f)
b = int32(zeros((3, 3)))
i = 1
while any(f != y):
a4, a2 = -4 * i + 2, -2 * i + 1
b = int32([[a4, a2, a4], [a2, 0, a2], [a4, a2, a4]])
y = f
i = i + 1
f = iaero(f, b)
if METRIC == 'EUCLIDEAN':
y = uint16(sqrt(f) + 0.5)
else:
if iaisequal(Bc, iasecross()):
b = int32([[-2147483647, -1, -2147483647], [-1, 0, -1],
[-2147483647, -1, -2147483647]])
elif iaisequal(Bc, iasebox()):
b = int32([[-1, -1, -1], [-1, 0, -1], [-1, -1, -1]])
else:
b = Bc
while any(f != y):
y = f
f = iaero(f, b)
return y
def iadil(f, b=None):
from iamat2set import iamat2set
from ialimits import ialimits
from iaisbinary import iaisbinary
from iaintersec import iaintersec
from iagray import iagray
from iaadd4dil import iaadd4dil
from iasecross import iasecross
if b is None: b = iasecross()
if len(f.shape) == 1: f = f[newaxis, :]
h, w = f.shape
x, v = iamat2set(b)
if len(x) == 0:
y = (ones((h, w)) * ialimits(f)[0]).astype(f.dtype)
else:
if iaisbinary(v):
v = iaintersec(iagray(v, 'int32'), 0)
mh, mw = max(abs(x)[:, 0]), max(abs(x)[:, 1])
y = (ones((h + 2 * mh, w + 2 * mw)) * ialimits(f)[0]).astype(f.dtype)
for i in range(x.shape[0]):
if v[i] > -2147483647:
y[mh + x[i, 0]:mh + x[i, 0] + h,
mw + x[i, 1]:mw + x[i, 1] + w] = maximum(
y[mh + x[i, 0]:mh + x[i, 0] + h,
mw + x[i, 1]:mw + x[i, 1] + w], iaadd4dil(f, v[i]))
y = y[mh:mh + h, mw:mw + w]
return y
def iadist(f, Bc=iasecross(), METRIC=None):
from iagray import iagray
from iaintersec import iaintersec
from iaisequal import iaisequal
from iaero import iaero
from iasebox import iasebox
if METRIC is not None:
METRIC = upper(METRIC)
f = iagray(f, "uint16")
y = iaintersec(f, 0)
if (METRIC == "EUCLIDEAN") or (METRIC == "EUC2"):
f = int32(f)
b = int32(zeros((3, 3)))
i = 1
while any(f != y):
a4, a2 = -4 * i + 2, -2 * i + 1
b = int32([[a4, a2, a4], [a2, 0, a2], [a4, a2, a4]])
y = f
i = i + 1
f = iaero(f, b)
if METRIC == "EUCLIDEAN":
y = uint16(sqrt(f) + 0.5)
else:
if iaisequal(Bc, iasecross()):
b = int32([[-2147483647, -1, -2147483647], [-1, 0, -1], [-2147483647, -1, -2147483647]])
elif iaisequal(Bc, iasebox()):
b = int32([[-1, -1, -1], [-1, 0, -1], [-1, -1, -1]])
else:
b = Bc
while any(f != y):
y = f
f = iaero(f, b)
return y
def iaopentransf(f,
type='OCTAGON',
n=65535,
Bc=iasecross(),
Buser=iasecross()):
from iaisbinary import iaisbinary
from iabinary import iabinary
from iaisequal import iaisequal
from iaopen import iaopen
from iasesum import iasesum
from iasedisk import iasedisk
from iaaddm import iaaddm
from iagray import iagray
from iagrain import iagrain
from ialabel import ialabel
assert iaisbinary(f), 'Error: input image is not binary'
type = upper(type)
rec_flag = find(type, '-REC')
if rec_flag != -1:
type = type[:rec_flag] # remove the -rec suffix
flag = not ((type == 'OCTAGON') or (type == 'CHESSBOARD') or
(type == 'CITY-BLOCK'))
if not flag:
n = min(n, min(f.shape))
elif type == 'LINEAR-H':
se = iabinary([1, 1, 1])
n = min(n, f.shape[1])
elif type == 'LINEAR-V':
se = iabinary([[1], [1], [1]])
n = min(n, f.shape[0])
elif type == 'LINEAR-45R':
se = iabinary([[0, 0, 1], [0, 1, 0], [1, 0, 0]])
n = min(n, min(f.shape))
elif type == 'LINEAR-45L':
se = iabinary([[1, 0, 0], [0, 1, 0], [0, 0, 1]])
n = min(n, min(f.shape))
elif type == 'USER':
se = Buser
n = min(n, min(f.shape))
else:
print 'Error: only accepts OCTAGON, CHESSBOARD, CITY-BLOCK, LINEAR-H, LINEAR-V, LINEAR-45R, LINEAR-45L, or USER as type, or with suffix -REC.'
return []
k = 0
y = uint16(zeros(f.shape))
a = iabinary([1])
z = iabinary([0])
while not (iaisequal(a, z) or (k >= n)):
print 'processing r=', k
if flag:
a = iaopen(f, iasesum(se, k))
else:
a = iaopen(f, iasedisk(k, '2D', type))
y = iaaddm(y, iagray(a, 'uint16', 1))
k = k + 1
if rec_flag != -1:
y = iagrain(ialabel(f, Bc), y, 'max')
return y
def iaopentransf(f, type='OCTAGON', n=65535, Bc=iasecross(), Buser=iasecross()):
from iaisbinary import iaisbinary
from iabinary import iabinary
from iaisequal import iaisequal
from iaopen import iaopen
from iasesum import iasesum
from iasedisk import iasedisk
from iaaddm import iaaddm
from iagray import iagray
from iagrain import iagrain
from ialabel import ialabel
assert iaisbinary(f),'Error: input image is not binary'
type = upper(type)
rec_flag = find(type,'-REC')
if rec_flag != -1:
type = type[:rec_flag] # remove the -rec suffix
flag = not ((type == 'OCTAGON') or
(type == 'CHESSBOARD') or
(type == 'CITY-BLOCK'))
if not flag:
n = min(n,min(f.shape))
elif type == 'LINEAR-H':
se = iabinary([1, 1, 1])
n = min(n,f.shape[1])
elif type =='LINEAR-V':
se = iabinary([[1],[1],[1]])
n = min(n,f.shape[0])
elif type == 'LINEAR-45R':
se = iabinary([[0, 0, 1],[0, 1, 0],[1, 0, 0]])
n = min(n,min(f.shape))
elif type == 'LINEAR-45L':
se = iabinary([[1, 0, 0],[0, 1, 0],[0, 0, 1]])
n = min(n,min(f.shape))
elif type == 'USER':
se = Buser
n = min(n,min(f.shape))
else:
print 'Error: only accepts OCTAGON, CHESSBOARD, CITY-BLOCK, LINEAR-H, LINEAR-V, LINEAR-45R, LINEAR-45L, or USER as type, or with suffix -REC.'
return []
k = 0
y = uint16(zeros(f.shape))
a = iabinary([1])
z = iabinary([0])
while not ( iaisequal(a,z) or (k>=n)):
print 'processing r=',k
if flag:
a = iaopen(f,iasesum(se,k))
else:
a = iaopen(f,iasedisk(k,'2D',type))
y = iaaddm(y, iagray(a,'uint16',1))
k = k+1
if rec_flag != -1:
y = iagrain( ialabel(f,Bc),y,'max')
return y
def iasedisk(r=3, DIM="2D", METRIC="EUCLIDEAN", FLAT="FLAT", h=0):
from iabinary import iabinary
from iasecross import iasecross
from iasedil import iasedil
from iasesum import iasesum
from iasebox import iasebox
from iaintersec import iaintersec
from iagray import iagray
METRIC = upper(METRIC)
FLAT = upper(FLAT)
assert DIM=='2D','Supports only 2D structuring elements'
if FLAT=='FLAT': y = iabinary([1])
else: y = int32([h])
if r==0: return y
if METRIC == 'CITY-BLOCK':
if FLAT == 'FLAT':
b = iasecross(1)
else:
b = int32([[-2147483647, 0,-2147483647],
[ 0, 1, 0],
[-2147483647, 0,-2147483647]])
return iasedil(y,iasesum(b,r))
elif METRIC == 'CHESSBOARD':
if FLAT == 'FLAT':
b = iasebox(1)
else:
b = int32([[1,1,1],
[1,1,1],
[1,1,1]])
return iasedil(y,iasesum(b,r))
elif METRIC == 'OCTAGON':
if FLAT == 'FLAT':
b1,b2 = iasebox(1),iasecross(1)
else:
b1 = int32([[1,1,1],[1,1,1],[1,1,1]])
b2 = int32([[-2147483647, 0,-2147483647],
[ 0, 1, 0],
[-2147483647, 0,-2147483647]])
if r==1: return b1
else: return iasedil( iasedil(y,iasesum(b1,r/2)) ,iasesum(b2,(r+1)/2))
elif METRIC == 'EUCLIDEAN':
v = arange(-r,r+1)
x = resize(v, (len(v), len(v)))
y = transpose(x)
Be = iabinary(sqrt(x*x + y*y) <= (r+0.5))
if FLAT=='FLAT':
return Be
be = h + int32( sqrt( maximum((r+0.5)*(r+0.5) - (x*x) - (y*y),0)))
be = iaintersec( iagray(Be,'int32'),be)
return be
else:
assert 0,'Non valid metric'
return B
def iasedisk(r=3, DIM="2D", METRIC="EUCLIDEAN", FLAT="FLAT", h=0):
from iabinary import iabinary
from iasecross import iasecross
from iasedil import iasedil
from iasesum import iasesum
from iasebox import iasebox
from iaintersec import iaintersec
from iagray import iagray
METRIC = METRIC.upper()
FLAT = FLAT.upper()
assert DIM == '2D', 'Supports only 2D structuring elements'
if FLAT == 'FLAT': y = iabinary([1])
else: y = int32([h])
if r == 0: return y
if METRIC == 'CITY-BLOCK':
if FLAT == 'FLAT':
b = iasecross(1)
else:
b = int32([[-2147483647, 0, -2147483647], [0, 1, 0],
[-2147483647, 0, -2147483647]])
return iasedil(y, iasesum(b, r))
elif METRIC == 'CHESSBOARD':
if FLAT == 'FLAT':
b = iasebox(1)
else:
b = int32([[1, 1, 1], [1, 1, 1], [1, 1, 1]])
return iasedil(y, iasesum(b, r))
elif METRIC == 'OCTAGON':
if FLAT == 'FLAT':
b1, b2 = iasebox(1), iasecross(1)
else:
b1 = int32([[1, 1, 1], [1, 1, 1], [1, 1, 1]])
b2 = int32([[-2147483647, 0, -2147483647], [0, 1, 0],
[-2147483647, 0, -2147483647]])
if r == 1: return b1
else:
return iasedil(iasedil(y, iasesum(b1, r / 2)),
iasesum(b2, (r + 1) / 2))
elif METRIC == 'EUCLIDEAN':
v = arange(-r, r + 1)
x = resize(v, (len(v), len(v)))
y = transpose(x)
Be = iabinary(sqrt(x * x + y * y) <= (r + 0.5))
if FLAT == 'FLAT':
return Be
be = h + int32(
sqrt(maximum((r + 0.5) * (r + 0.5) - (x * x) - (y * y), 0)))
be = iaintersec(iagray(Be, 'int32'), be)
return be
else:
assert 0, 'Non valid metric'
return B
def iatoggle(f, f1, f2, OPTION="GRAY"):
from iabinary import iabinary
from iasubm import iasubm
from iagray import iagray
from iaunion import iaunion
from iaintersec import iaintersec
from ianeg import ianeg
y = iabinary(iasubm(f, f1), iasubm(f2, f))
if upper(OPTION) == 'GRAY':
t = iagray(y)
y = iaunion(iaintersec(ianeg(t), f1), iaintersec(t, f2))
return y
def iagdist(f, g, Bc=iasecross(), METRIC=None):
from ianeg import ianeg
from iagray import iagray
from iaintersec import iaintersec
from iaisequal import iaisequal
from iacero import iacero
from iaaddm import iaaddm
from iaunion import iaunion
assert METRIC is None,'Does not support EUCLIDEAN'
fneg,gneg = ianeg(f),ianeg(g)
y = iagray(gneg,'uint16',1)
ero = iaintersec(y,0)
aux = y
i = 1
while (ero != aux).any():
aux = ero
ero = iacero(gneg,fneg,Bc,i)
y = iaaddm(y,iagray(ero,'uint16',1))
i = i + 1
y = iaunion(y,iagray(ero,'uint16'))
return y
def iagdist(f, g, Bc=iasecross(), METRIC=None):
from ianeg import ianeg
from iagray import iagray
from iaintersec import iaintersec
from iaisequal import iaisequal
from iacero import iacero
from iaaddm import iaaddm
from iaunion import iaunion
assert METRIC is None, 'Does not support EUCLIDEAN'
fneg, gneg = ianeg(f), ianeg(g)
y = iagray(gneg, 'uint16', 1)
ero = iaintersec(y, 0)
aux = y
i = 1
while (ero != aux).any():
aux = ero
ero = iacero(gneg, fneg, Bc, i)
y = iaaddm(y, iagray(ero, 'uint16', 1))
i = i + 1
y = iaunion(y, iagray(ero, 'uint16'))
return y
def iagshow(X, X1=None, X2=None, X3=None, X4=None, X5=None, X6=None):
from iaisbinary import iaisbinary
from iagray import iagray
from iaunion import iaunion
from iaintersec import iaintersec
from ianeg import ianeg
from iaconcat import iaconcat
if iaisbinary(X): X = iagray(X, 'uint8')
r = X
g = X
b = X
if X1 is not None: # red 1 0 0
assert iaisbinary(X1), 'X1 must be binary overlay'
x1 = iagray(X1, 'uint8')
r = iaunion(r, x1)
g = iaintersec(g, ianeg(x1))
b = iaintersec(b, ianeg(x1))
if X2 is not None: # green 0 1 0
assert iaisbinary(X2), 'X2 must be binary overlay'
x2 = iagray(X2, 'uint8')
r = iaintersec(r, ianeg(x2))
g = iaunion(g, x2)
b = iaintersec(b, ianeg(x2))
if X3 is not None: # blue 0 0 1
assert iaisbinary(X3), 'X3 must be binary overlay'
x3 = iagray(X3, 'uint8')
r = iaintersec(r, ianeg(x3))
g = iaintersec(g, ianeg(x3))
b = iaunion(b, x3)
if X4 is not None: # magenta 1 0 1
assert iaisbinary(X4), 'X4 must be binary overlay'
x4 = iagray(X4, 'uint8')
r = iaunion(r, x4)
g = iaintersec(g, ianeg(x4))
b = iaunion(b, x4)
if X5 is not None: # yellow 1 1 0
assert iaisbinary(X5), 'X5 must be binary overlay'
x5 = iagray(X5, 'uint8')
r = iaunion(r, x5)
g = iaunion(g, x5)
b = iaintersec(b, ianeg(x5))
if X6 is not None: # cyan 0 1 1
assert iaisbinary(X6), 'X6 must be binary overlay'
x6 = iagray(X6, 'uint8')
r = iaintersec(r, ianeg(x6))
g = iaunion(g, x6)
b = iaunion(b, x6)
return iaconcat('d', r, g, b)
return Y
def iainpos(f, g, bc=iasecross()):
from iaisbinary import iaisbinary
from iagray import iagray
from ianeg import ianeg
from iadatatype import iadatatype
from ialimits import ialimits
from iasuprec import iasuprec
from iaintersec import iaintersec
from iaunion import iaunion
assert iaisbinary(f), 'First parameter must be binary image'
fg = iagray(ianeg(f), iadatatype(g))
k1 = ialimits(g)[1] - 1
y = iasuprec(fg, iaintersec(iaunion(g, 1), k1, fg), bc)
return y
def iainpos(f, g, bc=iasecross()):
from iaisbinary import iaisbinary
from iagray import iagray
from ianeg import ianeg
from iadatatype import iadatatype
from ialimits import ialimits
from iasuprec import iasuprec
from iaintersec import iaintersec
from iaunion import iaunion
assert iaisbinary(f),'First parameter must be binary image'
fg = iagray( ianeg(f), iadatatype(g))
k1 = ialimits(g)[1] - 1
y = iasuprec(fg, iaintersec( iaunion(g, 1), k1, fg), bc)
return y
def iatoggle(f, f1, f2, OPTION="GRAY"):
from iabinary import iabinary
from iasubm import iasubm
from iagray import iagray
from iaunion import iaunion
from iaintersec import iaintersec
from ianeg import ianeg
y=iabinary( iasubm(f,f1),iasubm(f2,f))
if upper(OPTION) == 'GRAY':
t=iagray(y)
y=iaunion( iaintersec( ianeg(t),f1),iaintersec(t,f2))
return y
def iagshow(X, X1=None, X2=None, X3=None, X4=None, X5=None, X6=None):
from iaisbinary import iaisbinary
from iagray import iagray
from iaunion import iaunion
from iaintersec import iaintersec
from ianeg import ianeg
from iaconcat import iaconcat
if iaisbinary(X): X = iagray(X,'uint8')
r = X
g = X
b = X
if X1 is not None: # red 1 0 0
assert iaisbinary(X1),'X1 must be binary overlay'
x1 = iagray(X1,'uint8')
r = iaunion(r,x1)
g = iaintersec(g,ianeg(x1))
b = iaintersec(b,ianeg(x1))
if X2 is not None: # green 0 1 0
assert iaisbinary(X2),'X2 must be binary overlay'
x2 = iagray(X2,'uint8')
r = iaintersec(r,ianeg(x2))
g = iaunion(g,x2)
b = iaintersec(b,ianeg(x2))
if X3 is not None: # blue 0 0 1
assert iaisbinary(X3),'X3 must be binary overlay'
x3 = iagray(X3,'uint8')
r = iaintersec(r,ianeg(x3))
g = iaintersec(g,ianeg(x3))
b = iaunion(b,x3)
if X4 is not None: # magenta 1 0 1
assert iaisbinary(X4),'X4 must be binary overlay'
x4 = iagray(X4,'uint8')
r = iaunion(r,x4)
g = iaintersec(g,ianeg(x4))
b = iaunion(b,x4)
if X5 is not None: # yellow 1 1 0
assert iaisbinary(X5),'X5 must be binary overlay'
x5 = iagray(X5,'uint8')
r = iaunion(r,x5)
g = iaunion(g,x5)
b = iaintersec(b,ianeg(x5))
if X6 is not None: # cyan 0 1 1
assert iaisbinary(X6),'X6 must be binary overlay'
x6 = iagray(X6,'uint8')
r = iaintersec(r,ianeg(x6))
g = iaunion(g,x6)
b = iaunion(b,x6)
return iaconcat('d',r,g,b)
return Y