inkstitch/lib/stitches/tangential_fill_stitch_line...

294 wiersze
12 KiB
Python

from enum import IntEnum
import networkx as nx
from depq import DEPQ
from shapely.geometry import MultiLineString, Polygon
from shapely.geometry import MultiPolygon
from shapely.geometry.polygon import LinearRing
from shapely.geometry.polygon import orient
from shapely.ops import polygonize
from ..stitches import constants
from ..stitches import tangential_fill_stitch_pattern_creator
from ..stitch_plan import Stitch
from ..utils import DotDict
from .running_stitch import running_stitch
class Tree(nx.DiGraph):
# This lets us do tree.nodes['somenode'].parent instead of the default
# tree.nodes['somenode']['parent'].
node_attr_dict_factory = DotDict
def offset_linear_ring(ring, offset, resolution, join_style, mitre_limit):
result = Polygon(ring).buffer(offset, resolution, cap_style=2, join_style=join_style, mitre_limit=mitre_limit, single_sided=True)
if result.geom_type == 'Polygon':
return result.exterior
else:
result_list = []
for poly in result.geoms:
result_list.append(poly.exterior)
return MultiLineString(result_list)
def take_only_valid_linear_rings(rings):
"""
Removes all geometries which do not form a "valid" LinearRing
(meaning a ring which does not form a straight line)
"""
if rings.geom_type == "MultiLineString":
new_list = []
for ring in rings.geoms:
if len(ring.coords) > 3 or (len(ring.coords) == 3 and ring.coords[0] != ring.coords[-1]):
new_list.append(ring)
if len(new_list) == 1:
return LinearRing(new_list[0])
else:
return MultiLineString(new_list)
elif rings.geom_type == "LineString" or rings.geom_type == "LinearRing":
if len(rings.coords) <= 2:
return LinearRing()
elif len(rings.coords) == 3 and rings.coords[0] == rings.coords[-1]:
return LinearRing()
else:
return rings
else:
return LinearRing()
def make_tree_uniform_ccw(tree):
"""
Since naturally holes have the opposite point ordering than non-holes we
make all lines within the tree "root" uniform (having all the same
ordering direction)
"""
for node in nx.dfs_preorder_nodes(tree, 'root'):
if tree.nodes[node].type == "hole":
tree.nodes[node].val = LinearRing(reversed(tree.nodes[node].val.coords))
# Used to define which stitching strategy shall be used
class StitchingStrategy(IntEnum):
INNER_TO_OUTER = 0
SPIRAL = 1
def check_and_prepare_tree_for_valid_spiral(tree):
"""
Takes a tree consisting of offsetted curves. If a parent has more than one child we
cannot create a spiral. However, to make the routine more robust, we allow more than
one child if only one of the childs has own childs. The other childs are removed in this
routine then. If the routine returns true, the tree will have been cleaned up from unwanted
childs. If the routine returns false even under the mentioned weaker conditions the
tree cannot be connected by one spiral.
"""
def process_node(node):
children = set(tree[node])
if len(children) == 0:
return True
elif len(children) == 1:
child = children.pop()
return process_node(child)
else:
children_with_children = {child for child in children if tree[child]}
if len(children_with_children) > 1:
# Node has multiple children with children, so a perfect spiral is not possible.
# This False value will be returned all the way up the stack.
return False
elif len(children_with_children) == 1:
children_without_children = children - children_with_children
child = children_with_children.pop()
tree.remove_nodes_from(children_without_children)
return process_node(child)
else:
# None of the children has its own children, so we'll just take the longest.
longest = max(children, key=lambda child: tree[child]['val'].length)
shorter_children = children - {longest}
tree.remove_nodes_from(shorter_children)
return process_node(longest)
return process_node('root')
def offset_poly(poly, offset, join_style, stitch_distance, min_stitch_distance, offset_by_half, strategy, starting_point, # noqa: C901
avoid_self_crossing):
"""
Takes a polygon (which can have holes) as input and creates offsetted
versions until the polygon is filled with these smaller offsets.
These created geometries are afterwards connected to each other and
resampled with a maximum stitch_distance.
The return value is a LineString which should cover the full polygon.
Input:
-poly: The shapely polygon which can have holes
-offset: The used offset for the curves
-join_style: Join style for the offset - can be round, mitered or bevel
(https://shapely.readthedocs.io/en/stable/manual.html#shapely.geometry.JOIN_STYLE)
For examples look at
https://shapely.readthedocs.io/en/stable/_images/parallel_offset.png
-stitch_distance maximum allowed stitch distance between two points
-min_stitch_distance stitches within a row shall be at least min_stitch_distance apart. Stitches connecting
offsetted paths might be shorter.
-offset_by_half: True if the points shall be interlaced
-strategy: According to StitchingStrategy enum class you can select between
different strategies for the connection between parent and childs. In
addition it offers the option "SPIRAL" which creates a real spiral towards inner.
In contrast to the other two options, "SPIRAL" does not end at the starting point
but at the innermost point
-starting_point: Defines the starting point for the stitching
-avoid_self_crossing: don't let the path cross itself when using the Inner to Outer strategy
Output:
-List of point coordinate tuples
-Tag (origin) of each point to analyze why a point was placed
at this position
"""
if strategy == StitchingStrategy.SPIRAL and len(poly.interiors) > 1:
raise ValueError(
"Single spiral geometry must not have more than one hole!")
ordered_poly = orient(poly, -1)
ordered_poly = ordered_poly.simplify(
constants.simplification_threshold, False)
tree = Tree()
tree.add_node('root',
type='node',
parent=None,
val=ordered_poly.exterior,
already_rastered=False,
transferred_point_priority_deque=DEPQ(iterable=None, maxlen=None),
)
active_polys = ['root']
active_holes = [[]]
# We don't care about the names of the nodes, we just need them to be unique.
node_num = 0
for hole in ordered_poly.interiors:
tree.add_node(node_num,
type="hole",
val=hole,
already_rastered=False,
transferred_point_priority_deque=DEPQ(iterable=None, maxlen=None),
)
active_holes[0].append(node_num)
node_num += 1
while len(active_polys) > 0:
current_poly = active_polys.pop()
current_holes = active_holes.pop()
poly_inners = []
outer = offset_linear_ring(
tree.nodes[current_poly].val,
offset,
resolution=5,
join_style=join_style,
mitre_limit=10,
)
outer = outer.simplify(constants.simplification_threshold, False)
outer = take_only_valid_linear_rings(outer)
for hole in current_holes:
inner = offset_linear_ring(
tree.nodes[hole].val,
-offset, # take negative offset for holes
resolution=5,
join_style=join_style,
mitre_limit=10,
)
inner = inner.simplify(constants.simplification_threshold, False)
inner = take_only_valid_linear_rings(inner)
if not inner.is_empty:
poly_inners.append(Polygon(inner))
if not outer.is_empty:
if len(poly_inners) == 0:
if outer.geom_type == "LineString" or outer.geom_type == "LinearRing":
result = Polygon(outer)
else:
result = MultiPolygon(polygonize(outer))
else:
if outer.geom_type == "LineString" or outer.geom_type == "LinearRing":
result = Polygon(outer).difference(
MultiPolygon(poly_inners))
else:
result = MultiPolygon(polygonize(outer)).difference(
MultiPolygon(poly_inners))
if not result.is_empty and result.area > offset * offset / 10:
if result.geom_type == "Polygon":
result_list = [result]
else:
result_list = list(result.geoms)
for polygon in result_list:
polygon = orient(polygon, -1)
if polygon.area < offset * offset / 10:
continue
polygon = polygon.simplify(
constants.simplification_threshold, False
)
poly_coords = polygon.exterior
poly_coords = take_only_valid_linear_rings(poly_coords)
if poly_coords.is_empty:
continue
node = node_num
node_num += 1
tree.add_node(node,
type='node',
parent=current_poly,
val=poly_coords,
already_rastered=False,
transferred_point_priority_deque=DEPQ(iterable=None, maxlen=None),
)
tree.add_edge(current_poly, node)
active_polys.append(node)
hole_node_list = []
for hole in polygon.interiors:
hole_node = node_num
node_num += 1
tree.add_node(hole_node,
type="hole",
val=hole,
already_rastered=False,
transferred_point_priority_deque=DEPQ(iterable=None, maxlen=None),
)
for previous_hole in current_holes:
if Polygon(hole).contains(Polygon(tree.nodes[previous_hole].val)):
tree.nodes[previous_hole].parent = hole_node
tree.add_edge(hole_node, previous_hole)
hole_node_list.append(hole_node)
active_holes.append(hole_node_list)
for previous_hole in current_holes:
# If the previous holes are not
# contained in the new holes they
# have been merged with the
# outer polygon
if not tree.nodes[previous_hole].parent:
tree.nodes[previous_hole].parent = current_poly
tree.add_edge(current_poly, previous_hole)
make_tree_uniform_ccw(tree)
if strategy == StitchingStrategy.INNER_TO_OUTER:
connected_line = tangential_fill_stitch_pattern_creator.connect_raster_tree_from_inner_to_outer(
tree, 'root', abs(offset), stitch_distance, min_stitch_distance, starting_point, offset_by_half, avoid_self_crossing)
path = [Stitch(*point) for point in connected_line.coords]
return running_stitch(path, stitch_distance), "whatever"
elif strategy == StitchingStrategy.SPIRAL:
if not check_and_prepare_tree_for_valid_spiral(tree):
raise ValueError("Geometry cannot be filled with one spiral!")
(connected_line, connected_line_origin) = tangential_fill_stitch_pattern_creator.connect_raster_tree_spiral(
tree, offset, stitch_distance, min_stitch_distance, starting_point, offset_by_half)
else:
raise ValueError("Invalid stitching stratety!")
return connected_line, connected_line_origin