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central-coast-aerial-survey
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Extrapolate towards land when points are missing

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etta-drone
Dan Howe 7 years ago
parent 8c4dfa3c66
commit 65c22a142b
1 changed files with 35 additions and 35 deletions
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70
nielsen_volumes.py
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@ -16,12 +16,12 @@ def insertZerochainage(chainage, elevation):
if ii==0 and elevation[ii]<0: if ii==0 and elevation[ii]<0:
while elevation[ii]<0: while elevation[ii]<0:
ii=ii+1 ii=ii+1
try: try:
beachslope = 1/((elevation[ii-1] - elevation[ii])/(chainage[ii] - chainage[ii-1])) beachslope = 1/((elevation[ii-1] - elevation[ii])/(chainage[ii] - chainage[ii-1]))
except: except:
beachslope= 999 beachslope= 999
chainageX= (elevation[ii-1]-0)*beachslope+chainage[ii-1] chainageX= (elevation[ii-1]-0)*beachslope+chainage[ii-1]
elevation.insert(ii,0) elevation.insert(ii,0)
chainage.insert(ii,chainageX) chainage.insert(ii,chainageX)
@ -35,7 +35,7 @@ def insertZerochainage(chainage, elevation):
elevation.insert(ii,0) elevation.insert(ii,0)
chainage.insert(ii,chainageX) chainage.insert(ii,chainageX)
ii=ii+1 ii=ii+1
try: try:
#finding where it crosses back over zero. If you reach the end of the list, return the list #finding where it crosses back over zero. If you reach the end of the list, return the list
while elevation[ii]<0: while elevation[ii]<0:
@ -44,7 +44,7 @@ def insertZerochainage(chainage, elevation):
beachslope = 1/((elevation[ii-1] - elevation[ii])/(chainage[ii] - chainage[ii-1])) beachslope = 1/((elevation[ii-1] - elevation[ii])/(chainage[ii] - chainage[ii-1]))
except ZeroDivisionError: except ZeroDivisionError:
beachslope= 999 beachslope= 999
chainageX= (elevation[ii-1]-0)*beachslope+chainage[ii-1] chainageX= (elevation[ii-1]-0)*beachslope+chainage[ii-1]
elevation.insert(ii,0) elevation.insert(ii,0)
chainage.insert(ii,chainageX) chainage.insert(ii,chainageX)
@ -53,27 +53,27 @@ def insertZerochainage(chainage, elevation):
return chainage, elevation return chainage, elevation
else: else:
ii=ii+1 ii=ii+1
return chainage, elevation return chainage, elevation
def custom_trap_rule(elevation,chainage): def custom_trap_rule(elevation,chainage):
#so that it doesn't count any volume below zero as a negative #so that it doesn't count any volume below zero as a negative
#add a zero point every time the profile crosses the axis (note that the seaward zero has already been inserted) #add a zero point every time the profile crosses the axis (note that the seaward zero has already been inserted)
x,y=insertZerochainage(copy.copy(chainage), copy.copy(elevation)) x,y=insertZerochainage(copy.copy(chainage), copy.copy(elevation))
# add the final 0 # add the final 0
x,y = findZerochainage(x,y) x,y = findZerochainage(x,y)
i=1 i=1
area=0 area=0
while i<len(y): while i<len(y):
if y[i]>=0 and y[i-1]>=0: if y[i]>=0 and y[i-1]>=0:
area=area+0.5*(x[i]-x[i-1])*(y[i]+y[i-1]) area=area+0.5*(x[i]-x[i-1])*(y[i]+y[i-1])
i=i+1 i=i+1
return area return area
def findIntersection(x11,y11,x12,y12,x21,y21,x22,y22): def findIntersection(x11,y11,x12,y12,x21,y21,x22,y22):
#find the intersection of a two lines defined by four points #find the intersection of a two lines defined by four points
try: try:
@ -84,29 +84,29 @@ def findIntersection(x11,y11,x12,y12,x21,y21,x22,y22):
m2=(y22-y21)/(x22-x21) m2=(y22-y21)/(x22-x21)
b2=y21-m2*x21 b2=y21-m2*x21
y_inter=m2*x_inter+b2 y_inter=m2*x_inter+b2
return x_inter, y_inter return x_inter, y_inter
try: try:
m2=(y22-y21)/(x22-x21) m2=(y22-y21)/(x22-x21)
b2=y21-m2*x21 b2=y21-m2*x21
except (ZeroDivisionError, FloatingPointError): except (ZeroDivisionError, FloatingPointError):
x_inter=x21 x_inter=x21
y_inter=m1*x_inter +b1 y_inter=m1*x_inter +b1
return x_inter, y_inter return x_inter, y_inter
x_inter=(b2-b1)/(m1-m2) x_inter=(b2-b1)/(m1-m2)
y_inter=m1*x_inter+b1 y_inter=m1*x_inter+b1
return x_inter, y_inter return x_inter, y_inter
def findZerochainage(chainage0, elevation0, max_beach_slope=5, min_beach_slope=50): def findZerochainage(chainage0, elevation0, max_beach_slope=5, min_beach_slope=50):
#often the photogrammetry has a repeated point at the end. Check for this and remove extra if required #often the photogrammetry has a repeated point at the end. Check for this and remove extra if required
while chainage0[-1]==chainage0[-2] and elevation0[-1]==elevation0[-2]: while chainage0[-1]==chainage0[-2] and elevation0[-1]==elevation0[-2]:
chainage0 = chainage0[:-1] chainage0 = chainage0[:-1]
elevation0 = elevation0[:-1] elevation0 = elevation0[:-1]
#check if the profile ever goes below zero #check if the profile ever goes below zero
ii=len(elevation0)-1 ii=len(elevation0)-1
below_0=False below_0=False
@ -119,7 +119,7 @@ def findZerochainage(chainage0, elevation0, max_beach_slope=5, min_beach_slope=5
ii=0 ii=0
else: else:
ii=ii-1 ii=ii-1
# if Below_0 = True, we can use the actual zero value # if Below_0 = True, we can use the actual zero value
if below_0==True: if below_0==True:
chainage0=chainage0[0:j+1] chainage0=chainage0[0:j+1]
@ -139,50 +139,50 @@ def findZerochainage(chainage0, elevation0, max_beach_slope=5, min_beach_slope=5
beachslope = min_beach_slope beachslope = min_beach_slope
elif beachslope<max_beach_slope: elif beachslope<max_beach_slope:
beachslope = max_beach_slope beachslope = max_beach_slope
chainageX=(elevation0[-1])*beachslope+chainage0[-1] chainageX=(elevation0[-1])*beachslope+chainage0[-1]
if chainageX!=chainage0[-1]: if chainageX!=chainage0[-1]:
chainage0.append(chainageX) chainage0.append(chainageX)
elevation0.append(0) elevation0.append(0)
return chainage0,elevation0 return chainage0,elevation0
def insert_LL(chainage, elevation, LL): def insert_LL(chainage, elevation, LL):
# insert an additional element to make LL an actual point # insert an additional element to make LL an actual point
elev_intr=scipy.interpolate.interp1d(chainage, elevation) elev_intr=scipy.interpolate.interp1d(chainage, elevation, fill_value='extrapolate')
elev_LL=float(elev_intr(LL)) elev_LL=float(elev_intr(LL))
data=[[chainage[i], elevation[i]] for i in range(0, len(chainage))] data=[[chainage[i], elevation[i]] for i in range(0, len(chainage))]
data.append([LL,elev_LL]) data.append([LL,elev_LL])
data.sort() data.sort()
chainage=[data[i][0] for i in range(0, len(data))] chainage=[data[i][0] for i in range(0, len(data))]
elevation=[data[i][1] for i in range(0, len(data))] elevation=[data[i][1] for i in range(0, len(data))]
return chainage, elevation, elev_LL return chainage, elevation, elev_LL
def volume_available (chainage, elevation, LL): def volume_available (chainage, elevation, LL):
chainage, elevation, LL_z = insert_LL(chainage, elevation, LL) chainage, elevation, LL_z = insert_LL(chainage, elevation, LL)
index_LL=0 index_LL=0
while chainage[index_LL]!=LL: while chainage[index_LL]!=LL:
index_LL=index_LL+1 index_LL=index_LL+1
bottom_ZSA_x = LL + LL_z/repose_slope bottom_ZSA_x = LL + LL_z/repose_slope
bottom_ZSA_y=0 bottom_ZSA_y=0
mid_ZWI_x= LL+(LL_z - 2)/(2*math.tan(math.radians(repose_angle))) mid_ZWI_x= LL+(LL_z - 2)/(2*math.tan(math.radians(repose_angle)))
mid_ZWI_y = 2 mid_ZWI_y = 2
bottom_ZWI_x=mid_ZWI_x+ mid_ZWI_y*10 bottom_ZWI_x=mid_ZWI_x+ mid_ZWI_y*10
bottom_ZWI_y = 0 bottom_ZWI_y = 0
x,y=findIntersection(LL,LL_z,bottom_ZSA_x,bottom_ZSA_y, mid_ZWI_x, mid_ZWI_y, bottom_ZWI_x, bottom_ZWI_y ) x,y=findIntersection(LL,LL_z,bottom_ZSA_x,bottom_ZSA_y, mid_ZWI_x, mid_ZWI_y, bottom_ZWI_x, bottom_ZWI_y )
V1=custom_trap_rule(elevation[index_LL:], chainage[index_LL:]) V1=custom_trap_rule(elevation[index_LL:], chainage[index_LL:])
V2=custom_trap_rule([ LL_z,mid_ZWI_y, bottom_ZWI_y],[LL,mid_ZWI_x,bottom_ZWI_x]) V2=custom_trap_rule([ LL_z,mid_ZWI_y, bottom_ZWI_y],[LL,mid_ZWI_x,bottom_ZWI_x])
volume=V1-V2 volume=V1-V2
return volume return volume

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