Plot really big file in python (5GB) with x axis offset - python

I am trying to plot a very big file (~5 GB) using python and matplotlib. I am able to load the whole file in memory (the total available in the machine is 16 GB) but when I plot it using simple imshow I get a segmentation fault. This is most probable to the ulimit which I have set to 15000 but I cannot set higher. I have come to the conclusion that I need to plot my array in batches and therefore made a simple code to do that. My main isue is that when I plot a batch of the big array the x coordinates start always from 0 and there is no way I can overlay the images to create a final big one. If you have any suggestion please let me know. Also I am not able to install new packages like "Image" on this machine due to administrative rights. Here is a sample of the code that reads the first 12 lines of my array and make 3 plots.
import os
import sys
import scipy
import numpy as np
import pylab as pl
import matplotlib as mpl
import matplotlib.cm as cm
from optparse import OptionParser
from scipy import fftpack
from scipy.fftpack import *
from cmath import *
from pylab import *
import pp
import fileinput
import matplotlib.pylab as plt
import pickle
def readalllines(file1,rows,freqs):
file = open(file1,'r')
sizer = int(rows*freqs)
i = 0
q = np.zeros(sizer,'float')
for i in range(rows*freqs):
s =file.readline()
s = s.split()
#print s[4],q[i]
q[i] = float(s[4])
if i%262144 == 0:
print '\r ',int(i*100.0/(337*262144)),' percent complete',
i += 1
file.close()
return q
parser = OptionParser()
parser.add_option('-f',dest="filename",help="Read dynamic spectrum from FILE",metavar="FILE")
parser.add_option('-t',dest="dtime",help="The time integration used in seconds, default 10",default=10)
parser.add_option('-n',dest="dfreq",help="The bandwidth of each frequency channel in Hz",default=11.92092896)
parser.add_option('-w',dest="reduce",help="The chuncker divider in frequency channels, integer default 16",default=16)
(opts,args) = parser.parse_args()
rows=12
freqs = 262144
file1 = opts.filename
s = readalllines(file1,rows,freqs)
s = np.reshape(s,(rows,freqs))
s = s.T
print s.shape
#raw_input()
#s_shift = scipy.fftpack.fftshift(s)
#fig = plt.figure()
#fig.patch.set_alpha(0.0)
#axes = plt.axes()
#axes.patch.set_alpha(0.0)
###plt.ylim(0,8)
plt.ion()
i = 0
for o in range(0,rows,4):
fig = plt.figure()
#plt.clf()
plt.imshow(s[:,o:o+4],interpolation='nearest',aspect='auto', cmap=cm.gray_r, origin='lower')
if o == 0:
axis([0,rows,0,freqs])
fdf, fdff = xticks()
print fdf
xticks(fdf+o)
print xticks()
#axis([o,o+4,0,freqs])
plt.draw()
#w, h = fig.canvas.get_width_height()
#buf = np.fromstring(fig.canvas.tostring_argb(), dtype=np.uint8)
#buf.shape = (w,h,4)
#buf = np.rol(buf, 3, axis=2)
#w,h,_ = buf.shape
#img = Image.fromstring("RGBA", (w,h),buf.tostring())
#if prev:
# prev.paste(img)
# del prev
#prev = img
i += 1
pl.colorbar()
pl.show()

If you plot any array with more than ~2k pixels across something in your graphics chain will down sample the image in some way to display it on your monitor. I would recommend down sampling in a controlled way, something like
data = convert_raw_data_to_fft(args) # make sure data is row major
def ds_decimate(row,step = 100):
return row[::step]
def ds_sum(row,step):
return np.sum(row[:step*(len(row)//step)].reshape(-1,step),1)
# as per suggestion from tom10 in comments
def ds_max(row,step):
return np.max(row[:step*(len(row)//step)].reshape(-1,step),1)
data_plotable = [ds_sum(d) for d in data] # plug in which ever function you want
or interpolation.

Matplotlib is pretty memory-inefficient when plotting images. It creates several full-resolution intermediate arrays, which is probably why your program is crashing.
One solution is to downsample the image before feeding it into matplotlib, as #tcaswell suggests.
I also wrote some wrapper code to do this downsampling automatically, based on your screen resolution. It's at https://github.com/ChrisBeaumont/mpl-modest-image, if it's useful. It also has the advantage that the image is resampled on the fly, so you can still pan and zoom without sacrificing resolution where you need it.

I think you're just missing the extent=(left, right, bottom, top) keyword argument in plt.imshow.
x = np.random.randn(2, 10)
y = np.ones((4, 10))
x[0] = 0 # To make it clear which side is up, etc
y[0] = -1
plt.imshow(x, extent=(0, 10, 0, 2))
plt.imshow(y, extent=(0, 10, 2, 6))
# This is necessary, else the plot gets scaled and only shows the last array
plt.ylim(0, 6)
plt.colorbar()
plt.show()

Related

how to change the color of subplot datafile in matplotlib

In Short:
I want to change the color of blue marker in the graph. So that I can do comparison with other plots easily.
You can download the data files and script from this link
Problem Explanation
I have two data files, full.dat and part.dat(Note: part.dat is also there in full.dat).
I got the plotting scripts from the internet, and it is working very well. But as a noob in Python and Matplotlib, I am facing difficulties in changing the color of part.dat.
Please see the graph first, then the following scripts.
Script-1: Function and definitions: let's say: "func.py"
# This was written by Levi Lentz for the Kolpak Group at MIT
import numpy as np
import matplotlib.mlab as mlab
import matplotlib.pyplot as plt
import matplotlib.gridspec as gs
import sys
#This function extracts the high symmetry points from the output of bandx.out
def Symmetries(fstring):
f = open(fstring,'r')
x = np.zeros(0)
for i in f:
if "high-symmetry" in i:
x = np.append(x,float(i.split()[-1]))
f.close()
return x
# This function takes in the datafile, the fermi energy, the symmetry file, a subplot, and the label
# It then extracts the band data, and plots the bands, the fermi energy in red, and the high symmetry points
def bndplot(datafile_full,datafile,fermi,symmetryfile,subplot,**kwargs):
if 'shift_fermi' in kwargs:
bool_shift_efermi = kwargs['shift_fermi']
else:
bool_shift_efermi = 0
if 'color' in kwargs:
color_bnd=kwargs['color']
else:
color_bnd='black'
if 'linestyle' in kwargs:
line_bnd=kwargs['linestyle']
else:
line_bnd='solid'
z = np.loadtxt(datafile_full) #This loads the full.dat file
x = np.unique(z[:,0]) #This is all the unique x-points
[a,b,w]=np.loadtxt(datafile,unpack=True) #Weight
bands = []
bndl = len(z[z[:,0]==x[1]]) #This gives the number of bands in the calculation
Fermi = float(fermi)
if bool_shift_efermi:
fermi_shift=Fermi
else:
fermi_shift=0
axis = [min(x),max(x)]
for i in range(0,bndl):
bands.append(np.zeros([len(x),2])) #This is where we storre the bands
for i in range(0,len(x)):
sel = z[z[:,0] == x[i]] #Here is the energies for a given x
test = []
for j in range(0,bndl): #This separates it out into a single band
bands[j][i][0] = x[i]
#bands[j][i][1] = np.multiply(sel[j][1],13.605698066)
bands[j][i][1] = sel[j][1]
#Here we plots the bands
for i in bands:
subplot.plot(i[:,0],i[:,1]-fermi_shift,color=color_bnd,linestyle=line_bnd, linewidth=0.7,alpha=0.5)
# plt.scatter(a,b-fermi_shift,c=w,cmap='viridis',alpha=0.5)
# plt.colorbar()
if 'legend' in kwargs:
#empty plot to generate legend
subplot.plot([None],[None],color=color_bnd,linestyle=line_bnd,label=kwargs['legend'])
temp = Symmetries(symmetryfile)
for j in temp: #This is the high symmetry lines
x1 = [j,j]
subplot.axvline(x=j,linestyle='dashed',color='black',alpha=0.75)
subplot.plot([min(x),max(x)],[Fermi-fermi_shift,Fermi-fermi_shift],color='red',linestyle='dotted')
subplot.set_xticks(temp)
subplot.set_xticklabels([])
if 'name_k_points' in kwargs:
if len(kwargs['name_k_points'])==len(temp):
subplot.set_xticklabels(kwargs['name_k_points'])
if 'range' in kwargs:
range_plot=kwargs['range']
subplot.set_ylim([range_plot[0],range_plot[1]])
subplot.set_xlim([axis[0],axis[1]])
subplot.set_xlabel('k')
subplot.set_ylabel('E-E$_f$')
plt.scatter(a,b-fermi_shift,s=70*np.array(w))
if 'legend' in kwargs:
plt.legend()
script-2 Plotting script: let's say: "plot.py"
#!/usr/bin/python3
from func import *
El='el'
orb='orb'
plt.rcParams["figure.figsize"]=(4,15)
datafile_full='bands.dat.gnu'
#datafile=El+'_'+orb+'.dat.all'
datafile=El+'_'+orb+'.dat.all'
fermi = 10.2382
symmetryfile='band.out'
bool_shift_efermi= True
fig, ax = plt.subplots()
#bndplot(datafile,fermi,symmetryfile,ax)
bndplot(datafile_full,datafile,fermi,symmetryfile,ax,shift_fermi=1,color='black',linestyle='solid',name_k_points=['K','G','M','K','H','A','L','H'], legend=El+', '+orb+'-orbital')
#ax.set_ylim(-5,5)
ax.set_ylim(-10,12)
fig.set_figheight(6)
fig.set_figwidth(4)
plt.rcParams.update({'font.size': 22})
fig.savefig("el-orb.eps")
plt.show()
In script-2, there is an option to change the color, however I want to change the color of blue marker/solid-circles(please see the graph) so that I can compare with other graphs.
Whenever I change the color, it changes the line color only.
Please help me out I am trying to understand Matplotlib uses and examples from past few hrs However as a noob I was not able to figure out how to do.

Visualizing SOM and adding labels to the map

I have been trying to apply SOM on my dataframe, my dataframe has 25 columns where each column represents a house, each house has a values for power consumption for two years, and I want to cluster the data with number of clusters = 3.
I have done the following:
import sys
sys.path.insert(0, '../')
%load_ext autoreload
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from pylab import plot,axis,show,pcolor,colorbar,bone
from matplotlib.patches import Patch
%matplotlib inline
from minisom import MiniSom
from sklearn.preprocessing import minmax_scale, scale
%autoreload 2
data1 = pd.read_excel(r"C:\Users\user\Desktop\Thesis\Tarek\Consumption.xlsx")
data1['h1'] = data1['h1'].str.split(';').str[2].astype('float')
data1['h2'] = data1['h2'].str.split(';').str[2].astype('float')
data1['h3'] = data1['h3'].str.split(';').str[2].astype('float')
data1['h4'] = data1['h4'].str.split(';').str[2].astype('float')
data1['h5'] = data1['h5'].str.split(';').str[2].astype('float')
data1['h6'] = data1['h6'].str.split(';').str[2].astype('float')
data1['h7'] = data1['h7'].str.split(';').str[2].astype('float')
data1['h8'] = data1['h8'].str.split(';').str[2].astype('float')
data1['h9'] = data1['h9'].str.split(';').str[2].astype('float')
data1['h10'] = data1['h10'].str.split(';').str[2].astype('float')
data1['h11'] = data1['h11'].str.split(';').str[2].astype('float')
data1['h12'] = data1['h12'].str.split(';').str[2].astype('float')
data1['h13'] = data1['h13'].str.split(';').str[2].astype('float')
data1['h14'] = data1['h14'].str.split(';').str[2].astype('float')
data1['h15'] = data1['h15'].str.split(';').str[2].astype('float')
data1['h16'] = data1['h16'].str.split(';').str[2].astype('float')
data1['h17'] = data1['h17'].str.split(';').str[2].astype('float')
data1['h18'] = data1['h18'].str.split(';').str[2].astype('float')
data1['h19'] = data1['h19'].str.split(';').str[2].astype('float')
data1['h20'] = data1['h20'].str.split(';').str[2].astype('float')
data1['h21'] = data1['h21'].str.split(';').str[2].astype('float')
data1['h22'] = data1['h22'].str.split(';').str[2].astype('float')
data1['h23'] = data1['h23'].str.split(';').str[2].astype('float')
data1['h24'] = data1['h24'].str.split(';').str[2].astype('float')
data1['h25'] = data1['h25'].str.split(';').str[2].astype('float')
data1.fillna(0,inplace=True)
data1=data1.round(decimals=2)
X=data1.values
som =MiniSom(x=3,y=3,input_len=25,sigma=1.0, learning_rate=0.5)
som.random_weights_init(X)
som.train_batch(data=X ,num_iteration=1000,verbose=True)
bone()
pcolor(som.distance_map().T)
colorbar()
markers = ['o' , 's','v']
colors = ['r', 'g','y']
for i, x in enumerate(X):
w = som.winner(x)
plot(w[0] + 0.5,
w[1] + 0.5,
markers[i],
markeredgecolor = colors[i],
markerfacecolor = 'None',
markersize = 10,
markeredgewidth = 2)
show()
when I am running the code, I am getting this error:
IndexError: list index out of range
please any tips to add the markers and colors in the right way without having any problems, and I would be glad if any one can help, I am a bit new to Python and tried to find a solution but I couldn`t find any.
The problem seems to be that the length of your X=data1.values is around 25 but the length of your markers and colors is only 3. So in the following for loop, when i is 3, you are trying to access markers[3] and colors[3] which throws an IndexError because both markers and colors goes up to index 2 (indexing starts from 0 in python)
for i, x in enumerate(X):
One solution is to define custom list of 25 markers and 25 colors. While you might want to define your own markers, you can leave the colors out and let the code choose automatic colors for the markeredgecolor

How to convert a .wav file to a spectrogram in python3

I am trying to create a spectrogram from a .wav file in python3.
I want the final saved image to look similar to this image:
I have tried the following:
This stack overflow post:
Spectrogram of a wave file
This post worked, somewhat. After running it, I got
However, This graph does not contain the colors that I need. I need a spectrogram that has colors. I tried to tinker with this code to try and add the colors however after spending significant time and effort on this, I couldn't figure it out!
I then tried this tutorial.
This code crashed(on line 17) when I tried to run it with the error TypeError: 'numpy.float64' object cannot be interpreted as an integer.
line 17:
samples = np.append(np.zeros(np.floor(frameSize/2.0)), sig)
I tried to fix it by casting
samples = int(np.append(np.zeros(np.floor(frameSize/2.0)), sig))
and I also tried
samples = np.append(np.zeros(int(np.floor(frameSize/2.0)), sig))
However neither of these worked in the end.
I would really like to know how to convert my .wav files to spectrograms with color so that I can analyze them! Any help would be appreciated!!!!!
Please tell me if you want me to provide any more information about my version of python, what I tried, or what I want to achieve.
Use scipy.signal.spectrogram.
import matplotlib.pyplot as plt
from scipy import signal
from scipy.io import wavfile
sample_rate, samples = wavfile.read('path-to-mono-audio-file.wav')
frequencies, times, spectrogram = signal.spectrogram(samples, sample_rate)
plt.pcolormesh(times, frequencies, spectrogram)
plt.imshow(spectrogram)
plt.ylabel('Frequency [Hz]')
plt.xlabel('Time [sec]')
plt.show()
Be sure that your wav file is mono (single channel) and not stereo (dual channel) before trying to do this. I highly recommend reading the scipy documentation at https://docs.scipy.org/doc/scipy-
0.19.0/reference/generated/scipy.signal.spectrogram.html.
Putting plt.pcolormesh before plt.imshow seems to fix some issues, as pointed out by #Davidjb, and if unpacking error occurs, follow the steps by #cgnorthcutt below.
I have fixed the errors you are facing for http://www.frank-zalkow.de/en/code-snippets/create-audio-spectrograms-with-python.html
This implementation is better because you can change the binsize (e.g. binsize=2**8)
import numpy as np
from matplotlib import pyplot as plt
import scipy.io.wavfile as wav
from numpy.lib import stride_tricks
""" short time fourier transform of audio signal """
def stft(sig, frameSize, overlapFac=0.5, window=np.hanning):
win = window(frameSize)
hopSize = int(frameSize - np.floor(overlapFac * frameSize))
# zeros at beginning (thus center of 1st window should be for sample nr. 0)
samples = np.append(np.zeros(int(np.floor(frameSize/2.0))), sig)
# cols for windowing
cols = np.ceil( (len(samples) - frameSize) / float(hopSize)) + 1
# zeros at end (thus samples can be fully covered by frames)
samples = np.append(samples, np.zeros(frameSize))
frames = stride_tricks.as_strided(samples, shape=(int(cols), frameSize), strides=(samples.strides[0]*hopSize, samples.strides[0])).copy()
frames *= win
return np.fft.rfft(frames)
""" scale frequency axis logarithmically """
def logscale_spec(spec, sr=44100, factor=20.):
timebins, freqbins = np.shape(spec)
scale = np.linspace(0, 1, freqbins) ** factor
scale *= (freqbins-1)/max(scale)
scale = np.unique(np.round(scale))
# create spectrogram with new freq bins
newspec = np.complex128(np.zeros([timebins, len(scale)]))
for i in range(0, len(scale)):
if i == len(scale)-1:
newspec[:,i] = np.sum(spec[:,int(scale[i]):], axis=1)
else:
newspec[:,i] = np.sum(spec[:,int(scale[i]):int(scale[i+1])], axis=1)
# list center freq of bins
allfreqs = np.abs(np.fft.fftfreq(freqbins*2, 1./sr)[:freqbins+1])
freqs = []
for i in range(0, len(scale)):
if i == len(scale)-1:
freqs += [np.mean(allfreqs[int(scale[i]):])]
else:
freqs += [np.mean(allfreqs[int(scale[i]):int(scale[i+1])])]
return newspec, freqs
""" plot spectrogram"""
def plotstft(audiopath, binsize=2**10, plotpath=None, colormap="jet"):
samplerate, samples = wav.read(audiopath)
s = stft(samples, binsize)
sshow, freq = logscale_spec(s, factor=1.0, sr=samplerate)
ims = 20.*np.log10(np.abs(sshow)/10e-6) # amplitude to decibel
timebins, freqbins = np.shape(ims)
print("timebins: ", timebins)
print("freqbins: ", freqbins)
plt.figure(figsize=(15, 7.5))
plt.imshow(np.transpose(ims), origin="lower", aspect="auto", cmap=colormap, interpolation="none")
plt.colorbar()
plt.xlabel("time (s)")
plt.ylabel("frequency (hz)")
plt.xlim([0, timebins-1])
plt.ylim([0, freqbins])
xlocs = np.float32(np.linspace(0, timebins-1, 5))
plt.xticks(xlocs, ["%.02f" % l for l in ((xlocs*len(samples)/timebins)+(0.5*binsize))/samplerate])
ylocs = np.int16(np.round(np.linspace(0, freqbins-1, 10)))
plt.yticks(ylocs, ["%.02f" % freq[i] for i in ylocs])
if plotpath:
plt.savefig(plotpath, bbox_inches="tight")
else:
plt.show()
plt.clf()
return ims
ims = plotstft(filepath)
import os
import wave
import pylab
def graph_spectrogram(wav_file):
sound_info, frame_rate = get_wav_info(wav_file)
pylab.figure(num=None, figsize=(19, 12))
pylab.subplot(111)
pylab.title('spectrogram of %r' % wav_file)
pylab.specgram(sound_info, Fs=frame_rate)
pylab.savefig('spectrogram.png')
def get_wav_info(wav_file):
wav = wave.open(wav_file, 'r')
frames = wav.readframes(-1)
sound_info = pylab.fromstring(frames, 'int16')
frame_rate = wav.getframerate()
wav.close()
return sound_info, frame_rate
for A Capella Science - Bohemian Gravity! this gives:
Use graph_spectrogram(path_to_your_wav_file).
I don't remember the blog from where I took this snippet. I will add the link whenever I see it again.
Beginner's answer above is excellent. I dont have 50 rep so I can't comment on it, but if you want the correct amplitude in the frequency domain the stft function should look like this:
import numpy as np
from matplotlib import pyplot as plt
import scipy.io.wavfile as wav
from numpy.lib import stride_tricks
""" short time fourier transform of audio signal """
def stft(sig, frameSize, overlapFac=0, window=np.hanning):
win = window(frameSize)
hopSize = int(frameSize - np.floor(overlapFac * frameSize))
# zeros at beginning (thus center of 1st window should be for sample nr. 0)
samples = np.append(np.zeros(int(np.floor(frameSize/2.0))), sig)
# cols for windowing
cols = np.ceil( (len(samples) - frameSize) / float(hopSize)) + 1
# zeros at end (thus samples can be fully covered by frames)
samples = np.append(samples, np.zeros(frameSize))
frames = stride_tricks.as_strided(samples, shape=(int(cols), frameSize), strides=(samples.strides[0]*hopSize, samples.strides[0])).copy()
frames *= win
fftResults = np.fft.rfft(frames)
windowCorrection = 1/(np.sum(np.hanning(frameSize))/frameSize) #This is amplitude correct (1/mean(window)). Energy correction is 1/rms(window)
FFTcorrection = 2/frameSize
scaledFftResults = fftResults*windowCorrection*FFTcorrection
return scaledFftResults
You can use librosa for your mp3 spectogram needs. Here is some code I found, thanks to Parul Pandey from medium. The code I used is this,
# Method described here https://stackoverflow.com/questions/15311853/plot-spectogram-from-mp3
import librosa
import librosa.display
from pydub import AudioSegment
import matplotlib.pyplot as plt
from scipy.io import wavfile
from tempfile import mktemp
def plot_mp3_matplot(filename):
"""
plot_mp3_matplot -- using matplotlib to simply plot time vs amplitude waveplot
Arguments:
filename -- filepath to the file that you want to see the waveplot for
Returns -- None
"""
# sr is for 'sampling rate'
# Feel free to adjust it
x, sr = librosa.load(filename, sr=44100)
plt.figure(figsize=(14, 5))
librosa.display.waveplot(x, sr=sr)
def convert_audio_to_spectogram(filename):
"""
convert_audio_to_spectogram -- using librosa to simply plot a spectogram
Arguments:
filename -- filepath to the file that you want to see the waveplot for
Returns -- None
"""
# sr == sampling rate
x, sr = librosa.load(filename, sr=44100)
# stft is short time fourier transform
X = librosa.stft(x)
# convert the slices to amplitude
Xdb = librosa.amplitude_to_db(abs(X))
# ... and plot, magic!
plt.figure(figsize=(14, 5))
librosa.display.specshow(Xdb, sr = sr, x_axis = 'time', y_axis = 'hz')
plt.colorbar()
# same as above, just changed the y_axis from hz to log in the display func
def convert_audio_to_spectogram_log(filename):
x, sr = librosa.load(filename, sr=44100)
X = librosa.stft(x)
Xdb = librosa.amplitude_to_db(abs(X))
plt.figure(figsize=(14, 5))
librosa.display.specshow(Xdb, sr = sr, x_axis = 'time', y_axis = 'log')
plt.colorbar()
Cheers!

Matplotlib lines do not join smoothly, Python

I am using matplotlib to draw the outline of a cylindrical body, however the lines do not want to join up smoothly, as seen in the range x[40,60].
It is really subtle in this image I know, but it is unfortunately not acceptable for my purposes. I hope it is visible for you to see.
Using more data points does not seem to make a difference.
Is there a way to get curved lines to join up more smoothly in matplotlib?
Original code:
import numpy as np
import matplotlib.pylab as plt
length = 100.
a = 40
b = 20
n = 2.
alpha = np.radians(25.)
d = 18.
x_nose = np.linspace(0,a,1000)
r_nose = (0.5*d*(1 - ((x_nose-a)/a)**2)**(1/n))
x_mid = np.linspace(x_nose[-1],a+b,2)
r_mid = np.array([r_nose[-1],r_nose[-1]])
x_tail = np.linspace(x_mid[-1],length,1000)
l_tail = length-a-b
r_tail = (0.5*d - ((3*d)/(2*l_tail**2) - np.tan(alpha)/l_tail)*(x_tail-a-b)**2 + (d/l_tail**3 - np.tan(alpha)/l_tail**2)*(x_tail-a-b)**3)
fig = plt.figure()
plt.plot(x_nose,r_nose,'k',linewidth=2,antialiased=True)
plt.plot(x_mid,r_mid,'k',linewidth=2,antialiased=True)
plt.plot(x_tail,r_tail,'k',linewidth=2,antialiased=True)
plt.axis('equal')
plt.show()
You can see the effect more easily when zoomed in:
I'm not sure why this is happening, but you may be able to mitigate by constructing a single x and r array with the full line to draw.
x = np.append(x_nose, x_mid)
x = np.append(x, x_tail )
r = np.append(r_nose, r_mid)
r = np.append(r, r_tail )
plt.plot(x,r,'k',linewidth=2,antialiased=True)
This obviously prevents you altering line styles of individual elements, but it looks like you don't want to do that. This works for me:

Shape recognition with numpy/scipy (perhaps watershed)

My goal is to trace drawings that have a lot of separate shapes in them and to split these shapes into individual images. It is black on white. I'm quite new to numpy,opencv&co - but here is my current thought:
scan for black pixels
black pixel found -> watershed
find watershed boundary (as polygon path)
continue searching, but ignore points within the already found boundaries
I'm not very good at these kind of things, is there a better way?
First I tried to find the rectangular bounding box of the watershed results (this is more or less a collage of examples):
from numpy import *
import numpy as np
from scipy import ndimage
np.set_printoptions(threshold=np.nan)
a = np.zeros((512, 512)).astype(np.uint8) #unsigned integer type needed by watershed
y, x = np.ogrid[0:512, 0:512]
m1 = ((y-200)**2 + (x-100)**2 < 30**2)
m2 = ((y-350)**2 + (x-400)**2 < 20**2)
m3 = ((y-260)**2 + (x-200)**2 < 20**2)
a[m1+m2+m3]=1
markers = np.zeros_like(a).astype(int16)
markers[0, 0] = 1
markers[200, 100] = 2
markers[350, 400] = 3
markers[260, 200] = 4
res = ndimage.watershed_ift(a.astype(uint8), markers)
unique(res)
B = argwhere(res.astype(uint8))
(ystart, xstart), (ystop, xstop) = B.min(0), B.max(0) + 1
tr = a[ystart:ystop, xstart:xstop]
print tr
Somehow, when I use the original array (a) then argwhere seems to work, but after the watershed (res) it just outputs the complete array again.
The next step could be to find the polygon path around the shape, but the bounding box would be great for now!
Please help!
#Hooked has already answered most of your question, but I was in the middle of writing this up when he answered, so I'll post it in the hopes that it's still useful...
You're trying to jump through a few too many hoops. You don't need watershed_ift.
You use scipy.ndimage.label to differentiate separate objects in a boolean array and scipy.ndimage.find_objects to find the bounding box of each object.
Let's break things down a bit.
import numpy as np
from scipy import ndimage
import matplotlib.pyplot as plt
def draw_circle(grid, x0, y0, radius):
ny, nx = grid.shape
y, x = np.ogrid[:ny, :nx]
dist = np.hypot(x - x0, y - y0)
grid[dist < radius] = True
return grid
# Generate 3 circles...
a = np.zeros((512, 512), dtype=np.bool)
draw_circle(a, 100, 200, 30)
draw_circle(a, 400, 350, 20)
draw_circle(a, 200, 260, 20)
# Label the objects in the array.
labels, numobjects = ndimage.label(a)
# Now find their bounding boxes (This will be a tuple of slice objects)
# You can use each one to directly index your data.
# E.g. a[slices[0]] gives you the original data within the bounding box of the
# first object.
slices = ndimage.find_objects(labels)
#-- Plotting... -------------------------------------
fig, ax = plt.subplots()
ax.imshow(a)
ax.set_title('Original Data')
fig, ax = plt.subplots()
ax.imshow(labels)
ax.set_title('Labeled objects')
fig, axes = plt.subplots(ncols=numobjects)
for ax, sli in zip(axes.flat, slices):
ax.imshow(labels[sli], vmin=0, vmax=numobjects)
tpl = 'BBox:\nymin:{0.start}, ymax:{0.stop}\nxmin:{1.start}, xmax:{1.stop}'
ax.set_title(tpl.format(*sli))
fig.suptitle('Individual Objects')
plt.show()
Hopefully that makes it a bit clearer how to find the bounding boxes of the objects.
Use the ndimage library from scipy. The function label places a unique tag on each block of pixels that are within a threshold. This identifies the unique clusters (shapes). Starting with your definition of a:
from scipy import ndimage
image_threshold = .5
label_array, n_features = ndimage.label(a>image_threshold)
# Plot the resulting shapes
import pylab as plt
plt.subplot(121)
plt.imshow(a)
plt.subplot(122)
plt.imshow(label_array)
plt.show()

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