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# A binary morphology add-on for the Python Imaging Library | |
# | |
# History: | |
# 2014-06-04 Initial version. | |
# | |
# Copyright (c) 2014 Dov Grobgeld <dov.grobgeld@gmail.com> | |
from __future__ import annotations | |
import re | |
from . import Image, _imagingmorph | |
LUT_SIZE = 1 << 9 | |
# fmt: off | |
ROTATION_MATRIX = [ | |
6, 3, 0, | |
7, 4, 1, | |
8, 5, 2, | |
] | |
MIRROR_MATRIX = [ | |
2, 1, 0, | |
5, 4, 3, | |
8, 7, 6, | |
] | |
# fmt: on | |
class LutBuilder: | |
"""A class for building a MorphLut from a descriptive language | |
The input patterns is a list of a strings sequences like these:: | |
4:(... | |
.1. | |
111)->1 | |
(whitespaces including linebreaks are ignored). The option 4 | |
describes a series of symmetry operations (in this case a | |
4-rotation), the pattern is described by: | |
- . or X - Ignore | |
- 1 - Pixel is on | |
- 0 - Pixel is off | |
The result of the operation is described after "->" string. | |
The default is to return the current pixel value, which is | |
returned if no other match is found. | |
Operations: | |
- 4 - 4 way rotation | |
- N - Negate | |
- 1 - Dummy op for no other operation (an op must always be given) | |
- M - Mirroring | |
Example:: | |
lb = LutBuilder(patterns = ["4:(... .1. 111)->1"]) | |
lut = lb.build_lut() | |
""" | |
def __init__( | |
self, patterns: list[str] | None = None, op_name: str | None = None | |
) -> None: | |
if patterns is not None: | |
self.patterns = patterns | |
else: | |
self.patterns = [] | |
self.lut: bytearray | None = None | |
if op_name is not None: | |
known_patterns = { | |
"corner": ["1:(... ... ...)->0", "4:(00. 01. ...)->1"], | |
"dilation4": ["4:(... .0. .1.)->1"], | |
"dilation8": ["4:(... .0. .1.)->1", "4:(... .0. ..1)->1"], | |
"erosion4": ["4:(... .1. .0.)->0"], | |
"erosion8": ["4:(... .1. .0.)->0", "4:(... .1. ..0)->0"], | |
"edge": [ | |
"1:(... ... ...)->0", | |
"4:(.0. .1. ...)->1", | |
"4:(01. .1. ...)->1", | |
], | |
} | |
if op_name not in known_patterns: | |
msg = f"Unknown pattern {op_name}!" | |
raise Exception(msg) | |
self.patterns = known_patterns[op_name] | |
def add_patterns(self, patterns: list[str]) -> None: | |
self.patterns += patterns | |
def build_default_lut(self) -> None: | |
symbols = [0, 1] | |
m = 1 << 4 # pos of current pixel | |
self.lut = bytearray(symbols[(i & m) > 0] for i in range(LUT_SIZE)) | |
def get_lut(self) -> bytearray | None: | |
return self.lut | |
def _string_permute(self, pattern: str, permutation: list[int]) -> str: | |
"""string_permute takes a pattern and a permutation and returns the | |
string permuted according to the permutation list. | |
""" | |
assert len(permutation) == 9 | |
return "".join(pattern[p] for p in permutation) | |
def _pattern_permute( | |
self, basic_pattern: str, options: str, basic_result: int | |
) -> list[tuple[str, int]]: | |
"""pattern_permute takes a basic pattern and its result and clones | |
the pattern according to the modifications described in the $options | |
parameter. It returns a list of all cloned patterns.""" | |
patterns = [(basic_pattern, basic_result)] | |
# rotations | |
if "4" in options: | |
res = patterns[-1][1] | |
for i in range(4): | |
patterns.append( | |
(self._string_permute(patterns[-1][0], ROTATION_MATRIX), res) | |
) | |
# mirror | |
if "M" in options: | |
n = len(patterns) | |
for pattern, res in patterns[:n]: | |
patterns.append((self._string_permute(pattern, MIRROR_MATRIX), res)) | |
# negate | |
if "N" in options: | |
n = len(patterns) | |
for pattern, res in patterns[:n]: | |
# Swap 0 and 1 | |
pattern = pattern.replace("0", "Z").replace("1", "0").replace("Z", "1") | |
res = 1 - int(res) | |
patterns.append((pattern, res)) | |
return patterns | |
def build_lut(self) -> bytearray: | |
"""Compile all patterns into a morphology lut. | |
TBD :Build based on (file) morphlut:modify_lut | |
""" | |
self.build_default_lut() | |
assert self.lut is not None | |
patterns = [] | |
# Parse and create symmetries of the patterns strings | |
for p in self.patterns: | |
m = re.search(r"(\w*):?\s*\((.+?)\)\s*->\s*(\d)", p.replace("\n", "")) | |
if not m: | |
msg = 'Syntax error in pattern "' + p + '"' | |
raise Exception(msg) | |
options = m.group(1) | |
pattern = m.group(2) | |
result = int(m.group(3)) | |
# Get rid of spaces | |
pattern = pattern.replace(" ", "").replace("\n", "") | |
patterns += self._pattern_permute(pattern, options, result) | |
# compile the patterns into regular expressions for speed | |
compiled_patterns = [] | |
for pattern in patterns: | |
p = pattern[0].replace(".", "X").replace("X", "[01]") | |
compiled_patterns.append((re.compile(p), pattern[1])) | |
# Step through table and find patterns that match. | |
# Note that all the patterns are searched. The last one | |
# caught overrides | |
for i in range(LUT_SIZE): | |
# Build the bit pattern | |
bitpattern = bin(i)[2:] | |
bitpattern = ("0" * (9 - len(bitpattern)) + bitpattern)[::-1] | |
for pattern, r in compiled_patterns: | |
if pattern.match(bitpattern): | |
self.lut[i] = [0, 1][r] | |
return self.lut | |
class MorphOp: | |
"""A class for binary morphological operators""" | |
def __init__( | |
self, | |
lut: bytearray | None = None, | |
op_name: str | None = None, | |
patterns: list[str] | None = None, | |
) -> None: | |
"""Create a binary morphological operator""" | |
self.lut = lut | |
if op_name is not None: | |
self.lut = LutBuilder(op_name=op_name).build_lut() | |
elif patterns is not None: | |
self.lut = LutBuilder(patterns=patterns).build_lut() | |
def apply(self, image: Image.Image) -> tuple[int, Image.Image]: | |
"""Run a single morphological operation on an image | |
Returns a tuple of the number of changed pixels and the | |
morphed image""" | |
if self.lut is None: | |
msg = "No operator loaded" | |
raise Exception(msg) | |
if image.mode != "L": | |
msg = "Image mode must be L" | |
raise ValueError(msg) | |
outimage = Image.new(image.mode, image.size, None) | |
count = _imagingmorph.apply(bytes(self.lut), image.im.id, outimage.im.id) | |
return count, outimage | |
def match(self, image: Image.Image) -> list[tuple[int, int]]: | |
"""Get a list of coordinates matching the morphological operation on | |
an image. | |
Returns a list of tuples of (x,y) coordinates | |
of all matching pixels. See :ref:`coordinate-system`.""" | |
if self.lut is None: | |
msg = "No operator loaded" | |
raise Exception(msg) | |
if image.mode != "L": | |
msg = "Image mode must be L" | |
raise ValueError(msg) | |
return _imagingmorph.match(bytes(self.lut), image.im.id) | |
def get_on_pixels(self, image: Image.Image) -> list[tuple[int, int]]: | |
"""Get a list of all turned on pixels in a binary image | |
Returns a list of tuples of (x,y) coordinates | |
of all matching pixels. See :ref:`coordinate-system`.""" | |
if image.mode != "L": | |
msg = "Image mode must be L" | |
raise ValueError(msg) | |
return _imagingmorph.get_on_pixels(image.im.id) | |
def load_lut(self, filename: str) -> None: | |
"""Load an operator from an mrl file""" | |
with open(filename, "rb") as f: | |
self.lut = bytearray(f.read()) | |
if len(self.lut) != LUT_SIZE: | |
self.lut = None | |
msg = "Wrong size operator file!" | |
raise Exception(msg) | |
def save_lut(self, filename: str) -> None: | |
"""Save an operator to an mrl file""" | |
if self.lut is None: | |
msg = "No operator loaded" | |
raise Exception(msg) | |
with open(filename, "wb") as f: | |
f.write(self.lut) | |
def set_lut(self, lut: bytearray | None) -> None: | |
"""Set the lut from an external source""" | |
self.lut = lut | |