# coding=utf8
# the above tag defines encoding for this document and is for Python 2.x compatibility
import re
regex = r"(?<=\W)\$[a-zA-Z_\\\{\}= +']+\$"
test_str = ("We try to quantitatively capture these characteristics by defining a set of indexes, which can be computed using the mosaic image and the corresponding ground truth:\n"
"\\begin{itemize}\n"
" \\item $\\mu_{A_T}$ and $\\sigma_{A_T}$, the mean and standard deviation of the tiles area $A_T$, respectively;\n"
" \\item $\\rho_\\text{filler}$, the ratio between the filler area and the overall mosaic are, computed as $\\rho_\\text{filler}=\\frac{\\sum_{T \\in \\mathcal{T} A_T}}{A}$, being $A$ the area of the mosaic;\n"
" \\item \\todo{does it worth?};\n"
" \\item \\todo{does it worth?};\n"
" \\item $\\mu_{C_T}$, the mean of the tiles \\emph{color dispersion} $C_T$, being $C_T = \\sigma_R+\\sigma_G+\\sigma_B$, where $\\sigma_R$, $\\sigma_G$ and $\\sigma_B$ are the standard deviation of the red, green and blue channel values of the pixels within the tile $T$.\n"
"After applying a method to an image, we compare the segmented image (i.e., the result) against the ground truth and assess the performance according to the following three metrics:\n"
"\\begin{itemize}\n"
" \\item average tile precision $P$\n"
" \\item average tile recall $R$\n"
" \\item tile count error $C$\n"
"\\end{itemize}\n"
"Let $T$ be a tile on the ground truth $\\mathcal{T}$ with area $A_T$.\n"
"Let $T'$ be the tile in the segmented image which mostly overlaps $T$ and let $A_{T'}$ be the area of $T$; let $A_{T \\cap T'}$ be the overlapping area between $T$ and $T'$.\n"
"Let $n$ and $n'$ the number of tiles respectively in the ground truth and in the segmented image.\n"
"Metrics are defined as:\n"
"\\begin{align}\n"
" P &= \\frac{1}{n} \\sum_{T \\in \\mathcal{T}} \\frac{A_{T \\cap T'}}{A_{T'}} \\\\\n"
" R &= \\frac{1}{n} \\sum_{T \\in \\mathcal{T}} \\frac{A_{T \\cap T'}}{A_T} \\\\\n"
" C &= \\frac{|n-n'|}{n}\n"
"\\end{align}\n"
"We try to quantitatively capture these characteristics by defining a set of indexes, which can be computed using the mosaic image and the corresponding ground truth:\n"
"\\begin{itemize}\n"
" \\item $\\mu_{A_T}$ and $\\sigma_{A_T}$, the mean and standard deviation of the tiles area $A_T$, respectively;\n"
" \\item $\\rho_\\text{filler}$, the ratio between the filler area and the overall mosaic are, computed as $\\rho_\\text{filler}=\\frac{\\sum_{T \\in \\mathcal{T} A_T}}{A}$, being $A$ the area of the mosaic;\n"
" \\item \\todo{does it worth?};\n"
" \\item \\todo{does it worth?};\n"
" \\item $\\mu_{C_T}$, the mean of the tiles \\emph{color dispersion} $C_T$, being $C_T = \\sigma_R+\\sigma_G+\\sigma_B$, where $\\sigma_R$, $\\sigma_G$ and $\\sigma_B$ are the standard deviation of the red, green and blue channel values of the pixels within the tile $T$.\n"
"After applying a method to an image, we compare the segmented image (i.e., the result) against the ground truth and assess the performance according to the following three metrics:\n"
"\\begin{itemize}\n"
" \\item average tile precision $P$\n"
" \\item average tile recall $R$\n"
" \\item tile count error $C$\n"
"\\end{itemize}\n"
"Let $T$ be a tile on the ground truth $\\mathcal{T}$ with area $A_T$.\n"
"Let $T'$ be the tile in the segmented image which mostly overlaps $T$ and let $A_{T'}$ be the area of $T$; let $A_{T \\cap T'}$ be the overlapping area between $T$ and $T'$.\n"
"Let $n$ and $n'$ the number of tiles respectively in the ground truth and in the segmented image.\n"
"Metrics are defined as:\n"
"\\begin{align}\n"
" P &= \\frac{1}{n} \\sum_{T \\in \\mathcal{T}} \\frac{A_{T \\cap T'}}{A_{T'}} \\\\\n"
" R &= \\frac{1}{n} \\sum_{T \\in \\mathcal{T}} \\frac{A_{T \\cap T'}}{A_T} \\\\\n"
" C &= \\frac{|n-n'|}{n}\n"
"\\end{align}")
matches = re.finditer(regex, test_str, re.MULTILINE)
for matchNum, match in enumerate(matches, start=1):
print ("Match {matchNum} was found at {start}-{end}: {match}".format(matchNum = matchNum, start = match.start(), end = match.end(), match = match.group()))
for groupNum in range(0, len(match.groups())):
groupNum = groupNum + 1
print ("Group {groupNum} found at {start}-{end}: {group}".format(groupNum = groupNum, start = match.start(groupNum), end = match.end(groupNum), group = match.group(groupNum)))
# Note: for Python 2.7 compatibility, use ur"" to prefix the regex and u"" to prefix the test string and substitution.
Please keep in mind that these code samples are automatically generated and are not guaranteed to work. If you find any syntax errors, feel free to submit a bug report. For a full regex reference for Python, please visit: https://docs.python.org/3/library/re.html