Point optimization method - circle
I am implementing RANSAC algorithm for defining a circle in images. I have profiled the execution and I get:
13699392 function calls in 799.981 seconds
Random listing order was used
ncalls tottime percall cumtime percall filename:lineno(function)
1 0.000 0.000 0.000 0.000 {time.time}
579810 0.564 0.000 0.564 0.000 {getattr}
289905 2.343 0.000 8.661 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/scipy/linalg/blas.py:226(_get_funcs)
579810 0.124 0.000 0.124 0.000 {method 'get' of 'dict' objects}
289905 0.645 0.000 2.676 0.000 {map}
2954 0.005 0.000 0.005 0.000 {method 'transpose' of 'numpy.ndarray' objects}
2954 0.023 0.000 0.464 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/core/shape_base.py:179(vstack)
2954 2.373 0.001 2.373 0.001 {method 'read' of 'cv2.VideoCapture' objects}
579810 0.966 0.000 2.031 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/lib/function_base.py:550(asarray_chkfinite)
289905 10.164 0.000 24.316 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/scipy/linalg/basic.py:456(lstsq)
2954 1.090 0.000 1.090 0.000 {normalize}
1455433 3.827 0.000 3.827 0.000 {numpy.core.multiarray.array}
579810 2.899 0.000 3.148 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/core/numerictypes.py:949(_can_coerce_all)
1 0.000 0.000 0.000 0.000 {numpy.core.multiarray.empty}
2954 32.544 0.011 795.875 0.269 git/tra-python-processer/tra/ransac.py:31(image_search)
289905 0.714 0.000 38.644 0.000 git/tra-python-processer/tra/features.py:44(__init__)
289905 2.157 0.000 2.157 0.000 {method 'randint' of 'mtrand.RandomState' objects}
1 0.005 0.005 0.005 0.005 {VideoCapture}
289905 1.026 0.000 1.026 0.000 {method 'astype' of 'numpy.generic' objects}
2954 0.006 0.000 0.010 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/core/fromnumeric.py:495(transpose)
289905 11.303 0.000 37.930 0.000 git/tra-python-processer/tra/features.py:48(__gen)
3496584 0.343 0.000 0.343 0.000 {len}
2954 0.344 0.000 0.344 0.000 {numpy.core.multiarray.concatenate}
2954 3.214 0.001 3.214 0.001 {numpy.core.multiarray.where}
869715 0.575 0.000 0.575 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/core/fromnumeric.py:2514(size)
869715 0.778 0.000 2.278 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/core/numeric.py:394(asarray)
289905 716.946 0.002 716.946 0.002 git/tra-python-processer/tra/features.py:89(points_distance)
5908 0.015 0.000 0.031 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/core/numeric.py:464(asanyarray)
289905 0.275 0.000 0.275 0.000 {isinstance}
289905 0.342 0.000 9.003 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/scipy/linalg/lapack.py:255(get_lapack_funcs)
5908 0.058 0.000 0.097 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/core/shape_base.py:60(atleast_2d)
295813 0.089 0.000 0.089 0.000 {method 'append' of 'list' objects}
289905 0.645 0.000 3.793 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/numpy/core/numerictypes.py:970(find_common_type)
2954 0.221 0.000 0.221 0.000 {threshold}
1 0.000 0.000 0.000 0.000 {method 'get' of 'cv2.VideoCapture' objects}
1 0.000 0.000 0.000 0.000 git/tra-python-processer/tra/ransac.py:24(__init__)
2954 0.009 0.000 0.009 0.000 {numpy.core.multiarray.zeros}
579810 0.143 0.000 0.143 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/scipy/linalg/misc.py:126(_datacopied)
1 0.201 0.201 799.981 799.981 git/tra-python-processer/tra/ransac.py:122(video_processing)
1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}
2954 1.528 0.001 1.528 0.001 {cvtColor}
289905 1.280 0.000 5.346 0.000 /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/scipy/linalg/blas.py:182(find_best_blas_type)
289905 0.198 0.000 0.198 0.000 {method 'index' of 'list' objects}
This is the first time I use a profiler, however for what I can understand, the heaviest function is the features.py:89(points_distance)
one that looks very simple:
def points_distance(self,points):
d = n.abs(\
n.sqrt(\
n.power(self.xc - points[:,0],2) + n.power(self.yc - points[:,1],2)
)\
- self.radius
)
return d
Any suggestions? Maybe cython
?
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1 answer
Use scipy.spatial.distance.cdist
to calculate distance in points_distance
.
First optimize your code in pure Python and numpy. Then, if necessary, move the critical parts to Cython. Since a number of functions are called multiple times ~ 100,000 times, you should get some speed from Cython for these parts. Unless, of course, the computational bottleneck is in the distance calculation, which then limits the total execution time.
By the way, you need to sort the profiler results by to tottime
make them easier to read.
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