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Location: OneEye/exp/hough.py
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text/x-python
presenting detected peaks
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sys.path.append("../src")
import math
from datetime import datetime
import logging as log
import numpy as np
import scipy.optimize
import scipy.signal
import cv2 as cv
from analyzer.epoint import EPoint
DEBUG=True
class LineBag:
def __init__(self):
self._lines=[]
def put(self,score,alpha,beta,peaks):
self._lines.append((score,alpha,beta,peaks))
def pull(self,count):
self._lines.sort(reverse=True)
res=[]
for (score,alpha,beta,peaks) in self._lines:
if any(abs(alpha-gamma)<10 and abs(beta-delta)<10 for (_,gamma,delta,_) in res): continue
if any((beta-delta)!=0 and (alpha-gamma)/(beta-delta)<0 for (_,gamma,delta,_) in res): continue
res.append((score,alpha,beta,peaks))
if len(res)>=count: break
return res
class HoughTransform:
def __init__(self,img):
self._angleBandwidth=30 # degrees
(h,w)=img.shape[:2]
self._diagLen=int(np.sqrt(h**2+w**2))+1
self._center=(w//2,h//2)
self._acc=np.zeros((180,self._diagLen),dtype=np.int32)
self.update(img)
def extract(self):
img=self._createImg()
self.show(img)
(ab,cd)=self._detectLines()
i=0
for (score,alpha,beta,peaks) in (ab,cd):
log.debug("score: %s",score)
log.debug("alpha, beta: %s, %s",alpha,beta)
self._drawLine(img,alpha,beta,peaks,i)
i+=1
self.show(img)
def update(self,img,weight=1):
start=datetime.now().timestamp()
for (r,row) in enumerate(img):
for (c,pix) in enumerate(row):
if pix==0: continue
for alphaDeg in range(0,180):
d=self._computeDist(c,r,alphaDeg)+self._diagLen//2
self._acc[(alphaDeg,d)]+=weight
log.debug("Hough updated in %s s",round(datetime.now().timestamp()-start,3))
def _computeDist(self,x,y,alphaDeg):
alphaRad=alphaDeg*math.pi/180
(x0,y0)=self._center
(dx,dy)=(x-x0,y-y0)
d=dx*math.cos(alphaRad)+dy*math.sin(alphaRad)
return round(d)
def _filterClose(self,peaks): # a naive implementation
"""Discard points with Euclidean distance on the original image lower than 10.
From such pairs keep only the one with a higher value in the accumulator.
This can delete a series of points. If a-b and b-c are close and a>b>c, only a is kept."""
minDist=13
center=EPoint(*self._center)
res=[]
for (alphaDeg,d) in peaks:
alphaRad=alphaDeg*math.pi/180
point=EPoint.fromPolar((alphaRad,d),center)
ctrl=True
for (betaDeg,e) in peaks:
betaRad=betaDeg*math.pi/180
point_=EPoint.fromPolar((betaRad,e),center)
if point.dist(point_)<minDist and self._acc[(alphaDeg,d)]<self._acc[(betaDeg,e)]:
ctrl=False
if ctrl: res.append((alphaDeg,d))
return res
def _detectDominantAngles(self,peaks):
angles=[alpha for (alpha,d) in peaks]
n=len(angles)
bandwidth=self._angleBandwidth
k1=0
k2=1
histogram=[]
while k1<n:
while (k2<n and angles[k1]+bandwidth>angles[k2]) or (k2>=n and angles[k1]+bandwidth>angles[k2%n]+180):
k2+=1
histogram.append((angles[k1],k2-k1))
k1+=1
log.debug("angles histogram: %s",histogram)
dominantAngles=sorted(histogram,key=lambda xy: xy[1],reverse=True)
alpha=dominantAngles[0]
dominantAngles=[beta for beta in dominantAngles if 180-bandwidth>abs(alpha[0]-beta[0])>bandwidth]
beta=dominantAngles[0]
log.debug("dominant angles: %s, %s",alpha,beta)
return (alpha[0],beta[0])
def _detectLines(self):
bag=LineBag()
for alpha in range(0,180,3):
for beta in range(min(alpha-60,0),alpha+60,3):
accLine=[self._acc[key] for key in self._readLineKeys(alpha,beta)]
(peaks,props)=scipy.signal.find_peaks(accLine,prominence=0)
(prominences,peaks)=zip(*sorted(zip(props["prominences"],peaks),reverse=True)[:19])
bag.put(sum(prominences),alpha,beta,peaks)
return bag.pull(2)
def _readLineKeys(self,alpha,beta):
n=self._diagLen-1
res=[]
for i in range(n+1):
k=round((alpha*(n-i)+beta*i)/n)
if k<0 or k>=180:
k=k%180
i=n+1-i
res.append((k,i))
return res
def _computeGridParams(self,lines):
log.debug("computing grid parameters for: %s",lines)
angles=[alpha for (alpha,d) in lines]
dists=[d for (alpha,d) in lines]
curve=lambda x,a,b,c,d: a*x**3+b*x**2+c*x+d
(params,cov)=scipy.optimize.curve_fit(curve,dists,angles)
log.debug("result: %s",params)
return params
def show(self,img=None):
if img is None: img=self._createImg()
show(img,"Hough transform accumulator")
def _createImg(self):
maxVal=self._acc.max()
arr=np.expand_dims(np.uint8(255*self._acc//maxVal),axis=2)
img=np.concatenate((arr,arr,arr),axis=2)
(h,w)=img.shape[:2]
for x in range(0,w,4): # y axis
img[h//2,x]=[255,255,255]
for y in range(0,h,4):
img[y,w//2]=[255,255,255]
return img
def _markPeaks(self,img,peaks):
colors=[[255,0,0],[255,255,0],[0,255,0],[0,255,255],[0,0,255]]
for (i,(alpha,d)) in enumerate(peaks[:38]):
cv.drawMarker(img,(d,alpha),colors[i//9],cv.MARKER_TILTED_CROSS)
return img
def _drawGridCurve(self,img,params,colorKey=0):
colors=[[0,255,255],[255,0,255],[255,255,0]]
color=colors[colorKey]
(a,b,c,d)=params
(h,w)=img.shape[:2]
curve=lambda x: a*x**3+b*x**2+c*x+d
for x in range(0,w,3):
y=round(curve(x))
if y<0 or y>=2*h: continue
if y<h: img[y,x]=color
else: img[y%h,-x]=color
def _drawLine(self,img,alpha,beta,peaks,colorKey):
colors=[[0,255,255],[255,0,255],[255,255,0]]
color=colors[colorKey]
(h,w)=img.shape[:2]
keys=self._readLineKeys(alpha,beta)
for (y,x) in keys:
if x%3!=0: continue
if y<0 or y>=h: continue
img[y,x]=color
for k in peaks:
(y,x)=keys[k]
cv.drawMarker(img,(x,y),color,cv.MARKER_TILTED_CROSS,8)
def drawLine(self,img,line,colorKey=0):
colors=[[0,255,255],[255,0,255],[255,255,0]]
color=colors[colorKey]
(h,w)=img.shape[:2]
(a,b,c)=line.toNormal()
if b==0: return
for x in range(1,w,3):
y=round((-c-a*x)/b) + (0 if b>=0 else 180)
if y<0 or y>=h: continue
img[y,x]=color
def findPeaks(arr2d): # a naive implementation
"""Scan 8-neighbourhood and for each peak or top plateau yield one point. For plateaus yield the """
(h,w)=arr2d.shape
neighbours=[(-1,-1),(-1,0),(-1,1),(0,-1),(0,1),(1,-1),(1,0),(1,1)]
for r in range(h):
for c in range(w):
if all(r+dr<0 or r+dr>=h or c+dc<0 or c+dc>=w or arr2d[r,c]>arr2d[r+dr,c+dc] or (i<4 and arr2d[r,c]>=arr2d[r+dr,c+dc]) for (i,(dr,dc)) in enumerate(neighbours)):
yield (r,c)
def show(img,filename="x"):
cv.imshow(filename,img)
cv.waitKey(0)
cv.destroyAllWindows()
def filterVert(edges):
kernel = np.array([[1,0,1],[1,0,1],[1,0,1]],np.uint8)
edges = cv.erode(edges,kernel)
kernel=np.array([[0,1,0],[0,1,0],[0,1,0]],np.uint8)
edges=cv.dilate(edges,kernel)
return edges
def filterHor(edges):
kernel = np.array([[1,1,1],[0,0,0],[1,1,1]],np.uint8)
edges = cv.erode(edges,kernel)
kernel=np.array([[0,0,0],[1,1,1],[0,0,0]],np.uint8)
edges=cv.dilate(edges,kernel)
return edges
def filterDiag(edges):
kernel = np.array([[0,0,1],[1,0,0],[0,1,0]],np.uint8)
edges1 = cv.erode(edges,kernel)
kernel=np.array([[1,0,0],[0,1,0],[0,0,1]],np.uint8)
edges1=cv.dilate(edges1,kernel)
kernel = np.array([[0,1,0],[1,0,0],[0,0,1]],np.uint8)
edges2 = cv.erode(edges,kernel)
kernel=np.array([[0,0,1],[0,1,0],[1,0,0]],np.uint8)
edges2=cv.dilate(edges2,kernel)
return edges1+edges2
def prepareEdgeImg(img):
gray=cv.cvtColor(img,cv.COLOR_BGR2GRAY)
show(gray,"greyscale image")
edges=cv.Canny(gray,70,130)
show(edges,"Canny edge detector")
edges=filterHor(edges)+filterVert(edges)+filterDiag(edges)
show(edges,"kernel filtered edges")
return edges
def houghLines(bwImg):
colorImg=cv.cvtColor(bwImg,cv.COLOR_GRAY2BGR)
lines = cv.HoughLinesP(bwImg,1,np.pi/180,10,minLineLength=10,maxLineGap=40)
if lines is None: lines=[]
for line in lines:
x1,y1,x2,y2 = line[0]
cv.line(colorImg,(x1,y1),(x2,y2),(0,255,0),1)
show(colorImg)
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