city_retrofit/hub/helpers/geometry_helper.py

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"""
Geometry helper
SPDX - License - Identifier: LGPL - 3.0 - or -later
Copyright © 2022 Concordia CERC group
Project Coder Guille Gutierrez guillermo.gutierrezmorote@concordia.ca
Code contributors: Pilar Monsalvete Alvarez de Uribarri pilar.monsalvete@concordia.ca
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"""
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import math
import numpy as np
import requests
from trimesh import Trimesh
from trimesh import intersections
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from hub.city_model_structure.attributes.polygon import Polygon
from hub.city_model_structure.attributes.polyhedron import Polyhedron
from hub.helpers.location import Location
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class MapPoint:
def __init__(self, x, y):
self.x = int(x)
self.y = int(y)
def __str__(self):
return f'({self.x}, {self.y})'
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class GeometryHelper:
"""
Geometry helper class
"""
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# todo: complete dictionary
srs_transformations = {
'urn:adv:crs:ETRS89_UTM32*DE_DHHN92_NH': 'epsg:25832'
}
def __init__(self, delta=0, area_delta=0):
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self._delta = delta
self._area_delta = area_delta
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@staticmethod
def coordinate_to_map_point(coordinate, city):
return MapPoint((city.upper_corner[0] - coordinate[0])/2, (city.upper_corner[1] - coordinate[1])/2)
@staticmethod
def point_between_point(point_1, point_2, x):
m = (point_1.y - point_2.y)/(point_1.x - point_2.x)
c = point_2.y - (m*point_2.x)
y = (m*x)+c
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return MapPoint(x, y)
@staticmethod
def city_mapping(city, building_names=None):
if building_names is None:
building_names = [b.name for b in city.buildings]
x = int((city.upper_corner[0] - city.lower_corner[0]) / 2)
y = int((city.upper_corner[1] - city.lower_corner[1]) / 2)
city_map = [['' for _ in range(y+1)] for _ in range(x+1)]
city_image = [[0 for _ in range(y+1)] for _ in range(x+1)]
for building_name in building_names:
building = city.city_object(building_name)
for ground in building.grounds:
length = len(ground.perimeter_polygon.coordinates) - 1
for i, coordinate in enumerate(ground.perimeter_polygon.coordinates):
j = i+1
if i == length:
j = 0
next_coordinate = ground.perimeter_polygon.coordinates[j]
point_1 = GeometryHelper.coordinate_to_map_point(coordinate, city)
point_2 = GeometryHelper.coordinate_to_map_point(next_coordinate, city)
for x in range(point_1.x, point_2.x):
y = GeometryHelper.point_between_point(point_1, point_2, x).y
if city_map[x][y] == '':
city_map[x][y] = building.name
city_image[x][y] = 1
elif city_map[x][y] != building.name:
neighbour = city.city_object(city_map[x][y])
if building.neighbours is None:
building.neighbours = [neighbour]
elif neighbour not in building.neighbours:
building.neighbours.append(neighbour)
if neighbour.neighbours is None:
neighbour.neighbours = [building]
elif building not in neighbour.neighbours:
neighbour.neighbours.append(building)
"""
x = int((city.upper_corner[0] - coordinate[0]) / 2)
y = int((city.upper_corner[1] - coordinate[1]) / 2)
if city_map[x][y] == '':
city_map[x][y] = building.name
city_image[x][y] = 1
elif city_map[x][y] != building.name:
neighbour = city.city_object(city_map[x][y])
if building.neighbours is None:
building.neighbours = [neighbour]
elif neighbour not in building.neighbours:
building.neighbours.append(neighbour)
if neighbour.neighbours is None:
neighbour.neighbours = [building]
elif building not in neighbour.neighbours:
neighbour.neighbours.append(building)
"""
@staticmethod
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def segment_list_to_trimesh(lines) -> Trimesh:
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"""
Transform a list of segments into a Trimesh
"""
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# todo: trimesh has a method for this
line_points = [lines[0][0], lines[0][1]]
lines.remove(lines[0])
while len(lines) > 1:
i = 0
for line in lines:
i += 1
if GeometryHelper.distance_between_points(line[0], line_points[len(line_points) - 1]) < 1e-8:
line_points.append(line[1])
lines.pop(i - 1)
break
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if GeometryHelper.distance_between_points(line[1], line_points[len(line_points) - 1]) < 1e-8:
line_points.append(line[0])
lines.pop(i - 1)
break
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polyhedron = Polyhedron(Polygon(line_points).triangles)
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trimesh = Trimesh(polyhedron.vertices, polyhedron.faces)
return trimesh
@staticmethod
def _merge_meshes(mesh1, mesh2):
v_1 = mesh1.vertices
f_1 = mesh1.faces
v_2 = mesh2.vertices
f_2 = mesh2.faces
length = len(v_1)
v_merge = np.concatenate((v_1, v_2))
f_merge = np.asarray(f_1)
for item in f_2:
point1 = item.item(0) + length
point2 = item.item(1) + length
point3 = item.item(2) + length
surface = np.asarray([point1, point2, point3])
f_merge = np.concatenate((f_merge, [surface]))
mesh_merge = Trimesh(vertices=v_merge, faces=f_merge)
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mesh_merge.fix_normals()
return mesh_merge
@staticmethod
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def divide_mesh_by_plane(trimesh, normal_plane, point_plane):
"""
Divide a mesh by a plane
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:param trimesh: Trimesh
:param normal_plane: [x, y, z]
:param point_plane: [x, y, z]
:return: [Trimesh]
"""
# The first mesh returns the positive side of the plane and the second the negative side.
# If the plane does not divide the mesh (i.e. it does not touch it or it is coplanar with one or more faces),
# then it returns only the original mesh.
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# todo: review split method in https://github.com/mikedh/trimesh/issues/235,
# once triangulate_polygon in Polygon class is solved
normal_plane_opp = [None] * len(normal_plane)
for i in range(0, len(normal_plane)):
normal_plane_opp[i] = - normal_plane[i]
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section_1 = intersections.slice_mesh_plane(trimesh, normal_plane, point_plane)
if section_1 is None:
return [trimesh]
lines = list(intersections.mesh_plane(trimesh, normal_plane, point_plane))
cap = GeometryHelper.segment_list_to_trimesh(lines)
trimesh_1 = GeometryHelper._merge_meshes(section_1, cap)
section_2 = intersections.slice_mesh_plane(trimesh, normal_plane_opp, point_plane)
if section_2 is None:
return [trimesh_1]
trimesh_2 = GeometryHelper._merge_meshes(section_2, cap)
return [trimesh_1, trimesh_2]
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@staticmethod
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def get_location(latitude, longitude) -> Location:
"""
Get Location from latitude and longitude
"""
url = 'https://nominatim.openstreetmap.org/reverse?lat={latitude}&lon={longitude}&format=json'
response = requests.get(url.format(latitude=latitude, longitude=longitude))
if response.status_code != 200:
# This means something went wrong.
raise Exception('GET /tasks/ {}'.format(response.status_code))
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response = response.json()
city = 'Unknown'
country = 'ca'
if 'city' in response['address']:
city = response['address']['city']
if 'country_code' in response['address']:
country = response['address']['country_code']
return Location(country, city)
@staticmethod
def distance_between_points(vertex1, vertex2):
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"""
distance between points in an n-D Euclidean space
:param vertex1: point or vertex
:param vertex2: point or vertex
:return: float
"""
power = 0
for dimension in range(0, len(vertex1)):
power += math.pow(vertex2[dimension]-vertex1[dimension], 2)
distance = math.sqrt(power)
return distance