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OpenPIV tutorial part 1 IPython notebook with the test of modified values
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"# %loadpy tutorial-part1.py"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 172
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import sys\n",
"sys.path.append('/Users/alex/Documents/OpenPIV/openpiv-python')\n",
"\n",
"import openpiv.tools\n",
"import openpiv.process\n",
"import openpiv.scaling"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 173
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"frame_a = openpiv.tools.imread( 'exp1_001_a.bmp' )\n",
"frame_b = openpiv.tools.imread( 'exp1_001_b.bmp' )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 174
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"winsize = 24 # pixels\n",
"searchsize = 64 # pixels, search in image B\n",
"overlap = 12 # pixels\n",
"dt = 0.02 # sec\n",
"\n",
"\n",
"u0, v0, sig2noise = openpiv.process.extended_search_area_piv( frame_a, frame_b, window_size=winsize, overlap=overlap, dt=dt, search_area_size=searchsize, sig2noise_method='peak2peak' )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 175
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x, y = openpiv.process.get_coordinates( image_size=frame_a.shape, window_size=winsize, overlap=overlap )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 176
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"u1, v1, mask = openpiv.validation.sig2noise_val( u0, v0, sig2noise, threshold = 1.3 )\n",
"print nansum((u1 - u0)**2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.0\n"
]
}
],
"prompt_number": 177
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"u2, v2 = openpiv.filters.replace_outliers( u1, v1, method='localmean', max_iter=10, kernel_size=2)\n",
"print nansum((u2 - u1)**2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.0\n"
]
}
],
"prompt_number": 178
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x, y, u3, v3 = openpiv.scaling.uniform(x, y, u2, v2, scaling_factor = 96.52 )\n",
"print nansum((u3 - u2)**2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"836665.088096\n"
]
}
],
"prompt_number": 179
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"openpiv.tools.save(x, y, u3, v3, mask, 'exp1_001.txt' )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 180
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"openpiv.tools.display_vector_field('exp1_001.txt', scale=100, width=0.0025)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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9+/DhOMaygis2lpUGShEkD/Nxjc128o1wsen8mpoQVObGMi9PPk5HRvI4ayIo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3hdUREPIyZCn3CpFMNAf0qhu4ED5UIvoaG/FF/+yWXsWHivnEyezFcWJ5KTlu7ucsx69Gg+4WcY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\n7HB4a5FLAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x107cefd50>"
]
}
],
"prompt_number": 181
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Small demonstration\n",
"x = np.array([1,2,3,4])\n",
"y = x # would preserve changes of x\n",
"z = x.copy() # would remain [1,2,3,4]\n",
"\n",
"print 'x'; print x\n",
"print 'y'; print y\n",
"print 'z'; print z\n",
"\n",
"# change x once:\n",
"x[0] = 10\n",
"print 'x'; print x\n",
"print 'y'; print y\n",
"print 'z'; print z\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"x\n",
"[1 2 3 4]\n",
"y\n",
"[1 2 3 4]\n",
"z\n",
"[1 2 3 4]\n",
"x\n",
"[10 2 3 4]\n",
"y\n",
"[10 2 3 4]\n",
"z\n",
"[1 2 3 4]\n"
]
}
],
"prompt_number": 182
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# returns a view of the modified array\n",
"def test_change(x):\n",
" x[0] = 0\n",
" return x\n",
"\n",
"# returns a copy of the modified array\n",
"def test_change_with_copy(x):\n",
" x[-1] = 25\n",
" return x.copy()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 183
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x_new_copy = test_change_with_copy(x)\n",
"x_new = test_change(x)\n",
"\n",
"print 'x'; print x\n",
"print 'y'; print y\n",
"print 'z'; print z\n",
"print 'x_new'; print(x_new)\n",
"print 'x_copy'; print(x_new_copy)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"x\n",
"[ 0 2 3 25]\n",
"y\n",
"[ 0 2 3 25]\n",
"z\n",
"[1 2 3 4]\n",
"x_new\n",
"[ 0 2 3 25]\n",
"x_copy\n",
"[10 2 3 25]\n"
]
}
],
"prompt_number": 184
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 184
}
],
"metadata": {}
}
]
}
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