Correct surface triangulation algorithms
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@ -69,6 +69,46 @@ class Polyhedron:
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for point in surface.points:
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print(point[0] - self.min_x, point[1] - self.min_y, point[2] - self.min_z)
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@staticmethod
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def _get_regions(point_index, points_list):
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if point_index == 0:
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# first point in the polygon so the triangle is the points n-1, n, 0
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triangle_left = ' '.join(str(e) for e in [*points_list[len(points_list) - 6:], *points_list[0:3]])
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# remove point n
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rest_points_left = ' '.join(str(e) for e in [*points_list[:len(points_list) - 3]])
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elif point_index == 3:
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# second point in the polygon so the triangle is the points n, 0, 1
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triangle_left = ' '.join(str(e) for e in [*points_list[len(points_list) - 3:], *points_list[0:6]])
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# remove point 0
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rest_points_left = ' '.join(str(e) for e in [*points_list[3:]])
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else:
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# normal point index-2¸index-1, index
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triangle_left = ' '.join(str(e) for e in [*points_list[point_index - 6:point_index + 3]])
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# remove middle point (index - 1)
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rest_points_left = ' '.join(str(e) for e in [*points_list[0:point_index - 3], *points_list[point_index:]])
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if point_index < len(points_list) - 6:
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# normal point index, index+1, index+2
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triangle_right = ' '.join(str(e) for e in [*points_list[point_index:point_index + 9]])
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rest_points_right = ' '.join(str(e) for e in [*points_list[0:point_index + 3], *points_list[point_index + 6:]])
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elif point_index == (len(points_list) - 6):
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# last two points in the polygon so the triangle is the points n-1, n, 0
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triangle_right = ' '.join(str(e) for e in [*points_list[point_index:], *points_list[0:3]])
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rest_points_right = ' '.join(str(e) for e in [*points_list[:len(points_list - 3)]])
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else:
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# last point in the polygon so the triangle is n, 0, 1
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triangle_right = ' '.join(str(e) for e in [*points_list[len(points_list) - 3:], *points_list[0:6]])
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rest_points_right = ' '.join(str(e) for e in [*points_list[3:]])
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if len(triangle_right) < 3:
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print(f'error right!!!! {triangle_right}')
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if len(triangle_left) < 3:
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print(f'error right!!!! {triangle_left}')
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return (Surface(triangle_left, remove_last=False), Surface(rest_points_left, remove_last=False)), \
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(Surface(triangle_right, remove_last=False), Surface(rest_points_right, remove_last=False))
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def _print(self, surface):
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for point in surface.points:
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print(point[0]-surface.min_x, point[1]-surface.min_y, point[2]-surface.min_z)
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def _triangulate(self, surface):
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triangles = []
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triangles_count = len(surface.points) - 2
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@ -76,33 +116,43 @@ class Polyhedron:
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point_index = 0
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area = surface.area
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while len(triangles) < triangles_count:
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# select a triangle starting at point index
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triangle_points = ' '.join(str(e) for e in [*points_list[point_index:point_index + 9]])
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# remove the middle vertex from previous triangle
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rest_points = ' '.join(str(e) for e in [*points_list[0:point_index+3], *points_list[point_index+6:]])
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triangular_surface = Surface(triangle_points, remove_last=False)
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rest_surface = Surface(rest_points, remove_last=False)
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t_area = triangular_surface.area
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if t_area == 0 and self._geometry.almost_same_area(area, (t_area + rest_surface.area)):
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area = rest_surface.area
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triangles.append(triangular_surface)
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points_list = rest_surface.points_list
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if len(rest_surface.points) == 3:
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triangles.append(rest_surface)
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# get triangles and regions in both direction to find ears
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left_direction, right_direction = Polyhedron._get_regions(point_index, points_list)
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# todo: use enum to describe triangle or rest instead 0 1
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right_area = right_direction[0].area + right_direction[1].area
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left_area = left_direction[0].area + left_direction[1].area
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if self._geometry.almost_same_area(area, left_area):
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area = left_direction[1].area
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point_index = 0
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triangles.append(left_direction[0])
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points_list = left_direction[1].points_list
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elif self._geometry.almost_same_area(area, right_area):
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area = right_direction[1].area
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point_index = 0
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triangles.append(right_direction[0])
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points_list = right_direction[1].points_list
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else:
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point_index = point_index + 3
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if point_index > len(points_list):
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raise Exception('not ear found!')
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if len(points_list) == 9:
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# the rest point's are already a triangle
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triangles.append(Surface(points_list, remove_last=False))
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return triangles
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@property
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def faces(self) -> [[int]]:
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"""
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Polyhedron faces
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:return: [[int]]
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"""
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if self._faces is None:
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self._faces = []
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for surface in self._surfaces:
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face = []
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points = surface.points
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if len(points) != 3:
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@ -198,19 +198,6 @@ class Surface:
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self._ground_polygon = None
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return self._ground_polygon
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@property
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def area_geoms_class(self):
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"""
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Surface area in square meters
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:return: float
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"""
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if self._area is None:
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try:
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self._area = self.polygon.get_area()
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except AttributeError:
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self._area = 0
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return self._area
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@property
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def area(self):
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"""
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@ -230,15 +217,14 @@ class Surface:
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if alpha == 0:
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print('Warning: the area of a line or point cannot be calculated. Area = 0')
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return 0
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points_2d = self.rotate_surface_to_horizontal(self)
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polygon_2d = pn.Polygon(np.array(points_2d))
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horizontal_points = self.rotate_surface_to_horizontal(self)
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area = 0
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for i in range(0, len(polygon_2d.points)-1):
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point = polygon_2d.points[i]
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next_point = polygon_2d.points[i+1]
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for i in range(0, len(horizontal_points)-1):
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point = horizontal_points[i]
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next_point = horizontal_points[i+1]
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area += (next_point[1] + point[1]) / 2 * (next_point[0] - point[0])
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next_point = polygon_2d.points[0]
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point = polygon_2d.points[len(polygon_2d.points)-1]
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next_point = horizontal_points[0]
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point = horizontal_points[len(horizontal_points)-1]
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area += (next_point[1] + point[1]) / 2 * (next_point[0] - point[0])
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self._area = abs(area)
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return self._area
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@ -247,14 +233,14 @@ class Surface:
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def rotate_surface_to_horizontal(surface):
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z_vector = [0, 0, 1]
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normal_vector = surface.normal
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points_2d = []
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horizontal_points = []
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x = normal_vector[0]
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y = normal_vector[1]
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if x == 0 and y == 0:
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# Already horizontal
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for point in surface.points:
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points_2d.append([point[0], point[1], 0])
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horizontal_points.append([point[0], point[1], 0])
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else:
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alpha = surface.angle_between_vectors(normal_vector, z_vector)
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rotation_line = np.cross(normal_vector, z_vector)
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@ -274,8 +260,8 @@ class Surface:
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else:
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for point in surface.points:
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new_point = np.matmul(rotation_base_matrix, point)
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points_2d.append(new_point)
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return points_2d
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horizontal_points.append(new_point)
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return horizontal_points
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@staticmethod
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def angle_between_vectors(vec_1, vec_2):
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@ -68,6 +68,7 @@ class CityGml:
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:return: City
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"""
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if self._city is None:
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# todo: refactor this method to clearly choose the gml type
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self._city = City(self._lower_corner, self._upper_corner, self._srs_name)
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i = 0
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for o in self._gml['CityModel']['cityObjectMember']:
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@ -79,10 +80,11 @@ class CityGml:
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surfaces = CityGml._lod1_solid(o)
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elif 'lod1MultiSurface' in o['Building']:
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lod += 1
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surfaces = CityGml._lod1_multisurface(o)
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surfaces = CityGml._lod1_multi_surface(o)
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elif 'lod2MultiSurface' in o['Building']:
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# todo: check if this is a real case or a miss-formed citygml
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lod = 2
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surfaces = surfaces + CityGml._lod2_multisurface(o)
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surfaces = surfaces + CityGml._lod2_solid_multi_surface(o)
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else:
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for bound in o['Building']['boundedBy']:
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surface_type = next(iter(bound))
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@ -133,27 +135,41 @@ class CityGml:
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return surfaces
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@staticmethod
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def _lod1_multisurface(o):
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def _lod1_multi_surface(o):
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surfaces = [Surface(s['Polygon']['exterior']['LinearRing']['posList'])
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for s in o['Building']['lod1MultiSurface']['MultiSurface']['surfaceMember']]
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return surfaces
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@staticmethod
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def _lod2_multisurface(o):
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def _lod2_solid_multi_surface(o):
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surfaces = [Surface(s['Polygon']['exterior']['LinearRing']['posList'])
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for s in o['Building']['lod2MultiSurface']['MultiSurface']['surfaceMember']]
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return surfaces
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@staticmethod
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def _lod2_composite_surface(s):
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surfaces = [Surface(sm['Polygon']['exterior']['LinearRing']['posList'])
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for sm in s['CompositeSurface']['surfaceMember']]
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return surfaces
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@staticmethod
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def _lod2_multi_surface(s, surface_type):
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# todo: this need to be changed into surface bounded?
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try:
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surfaces = [Surface(s['Polygon']['exterior']['LinearRing']['posList']['#text'],
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surface_type=GeometryHelper.gml_surface_to_libs(surface_type))]
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except TypeError:
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surfaces = [Surface(s['Polygon']['exterior']['LinearRing']['posList'],
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surface_type=GeometryHelper.gml_surface_to_libs(surface_type))]
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return surfaces
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@staticmethod
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def _lod2(bound):
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surfaces = []
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for surface_type in iter(bound):
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try:
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surfaces = [Surface(s['Polygon']['exterior']['LinearRing']['posList']['#text'],
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surface_type=GeometryHelper.gml_surface_to_libs(surface_type))
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for s in bound[surface_type]['lod2MultiSurface']['MultiSurface']['surfaceMember']]
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except TypeError:
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surfaces = [Surface(s['Polygon']['exterior']['LinearRing']['posList'],
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surface_type=GeometryHelper.gml_surface_to_libs(surface_type))
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for s in bound[surface_type]['lod2MultiSurface']['MultiSurface']['surfaceMember']]
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for s in bound[surface_type]['lod2MultiSurface']['MultiSurface']['surfaceMember']:
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if 'CompositeSurface' in s:
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surfaces = surfaces + CityGml._lod2_composite_surface(s)
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else:
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surfaces = surfaces + CityGml._lod2_multi_surface(s, surface_type)
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return surfaces
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