first attempt to new triangulate function in polyhedron.py
This commit is contained in:
Pilar
parent
14d4a1a4b8
commit
1fccac8f4c
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@ -65,87 +65,62 @@ class Polyhedron:
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def _point(coordinates):
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return coordinates[0], coordinates[1], coordinates[2]
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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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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 _triangulate(self, surface):
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print(surface.type)
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triangles = []
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complementary_surface = surface
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triangles_count = len(surface.points) - 2
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points_list = surface.points_list
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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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# 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) and self._geometry.almost_same_area(area, right_area):
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# Both seems to be an ear, choose the more precise
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if np.abs(left_area-area) < np.abs(right_area-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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complementary_surface = left_direction[1]
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else:
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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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complementary_surface = right_direction[1]
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elif 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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complementary_surface = left_direction[1]
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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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complementary_surface = right_direction[1]
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normal = surface.normal
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concave_points = []
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convex_points = []
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# case 1: first point as center ear
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points = ' '.join(str(e) for e in [*points_list[len(points_list) - 3:], *points_list[0:6]])
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triangle = Surface(points, remove_last=False)
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if self._point_is_concave(normal, triangle):
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concave_points.append(points_list[0:3])
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else:
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convex_points.append(points_list[0:3])
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# case 2: all points except first and last
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for i in range(0, int((len(points_list)-6)/3)):
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points = ' '.join(str(e) for e in [*points_list[i*3:(i+3)*3]])
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triangle = Surface(points, remove_last=False)
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if self._point_is_concave(normal, triangle):
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concave_points.append(points_list[(i+1)*3:(i+2)*3])
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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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return triangles
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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(complementary_surface)
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convex_points.append(points_list[(i+1)*3:(i+2)*3])
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# case 3: last point as center ear
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points = ' '.join(str(e) for e in [*points_list[len(points_list) - 6:], *points_list[0:3]])
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triangle = Surface(points, remove_last=False)
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if self._point_is_concave(normal, triangle):
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concave_points.append(points_list[len(points_list) - 3:])
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else:
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convex_points.append(points_list[len(points_list) - 3:])
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# print('point list', points_list)
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print('concave', concave_points)
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print('convex', convex_points)
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# todo: recursive function, not good solution
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# for point in concave_points:
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# is_ear_point = self._is_ear_point(point)
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# if is_ear_point:
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# ear = self._extract_ear()
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# triangles.append(ear)
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# self._remove_point()
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# continue
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return triangles
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def _point_is_concave(self, normal, triangle) -> bool:
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is_concave = False
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accepted_error = 0.1
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error_sum = 0
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print('normal', normal)
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print('normal triangle', triangle.normal)
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for i in range(0, len(normal)):
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error_sum += triangle.normal[i] - normal[i]
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if np.abs(error_sum) < accepted_error:
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is_concave = True
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return is_concave
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@property
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def faces(self) -> [[int]]:
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@ -211,17 +211,17 @@ class Surface:
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# New method to calculate area
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if self._area is None:
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if len(self.points) < 3:
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sys.stderr.write('Warning: the area of a line or point cannot be calculated. Area = 0\n')
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sys.stderr.write('Warning: the area of a line or point cannot be calculated 1. Area = 0\n')
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return 0
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alpha = 0
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vec_1 = self.points[1] - self.points[0]
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for i in range(2, len(self.points)):
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vec_2 = self.points[i] - self.points[0]
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alpha += self.angle_between_vectors(vec_1, vec_2)
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alpha += GeometryHelper.angle_between_vectors(vec_1, vec_2)
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if alpha == 0:
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sys.stderr.write('Warning: the area of a line or point cannot be calculated. Area = 0\n')
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sys.stderr.write('Warning: the area of a line or point cannot be calculated 2. Area = 0\n')
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return 0
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horizontal_points = self.rotate_surface_to_horizontal(self)
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horizontal_points = self.rotate_surface_to_horizontal
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area = 0
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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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@ -233,48 +233,6 @@ class Surface:
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self._area = abs(area)
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return self._area
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@staticmethod
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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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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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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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third_axis = np.cross(normal_vector, rotation_line)
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w_1 = rotation_line / np.linalg.norm(rotation_line)
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w_2 = normal_vector
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w_3 = third_axis / np.linalg.norm(third_axis)
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rotation_matrix = np.array([[1, 0, 0],
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[0, math.cos(alpha), -math.sin(alpha)],
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[0, math.sin(alpha), math.cos(alpha)]])
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base_matrix = np.array([w_1, w_2, w_3])
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rotation_base_matrix = np.matmul(base_matrix.transpose(), rotation_matrix.transpose())
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rotation_base_matrix = np.matmul(rotation_base_matrix, base_matrix)
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if rotation_base_matrix is None:
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sys.stderr.write('Warning: rotation base matrix returned None\n')
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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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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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if np.linalg.norm(vec_1) == 0 or np.linalg.norm(vec_2) == 0:
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sys.stderr.write("Warning: impossible to calculate angle between planes' normal. Return 0\n")
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return 0
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alpha = math.acos(np.dot(vec_1, vec_2) / np.linalg.norm(vec_1) / np.linalg.norm(vec_2))
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return alpha
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def _is_almost_same_terrain(self, terrain_points, ground_points):
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equal = 0
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for terrain_point in terrain_points:
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@ -320,7 +278,35 @@ class Surface:
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"""
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if self._normal is None:
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points = self.points
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cross_product = np.cross(points[1] - points[0], points[2] - points[0])
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accepted_error = 0.01
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cross_product = np.cross(points[len(points)-1] - points[len(points)-2],
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points[0] - points[len(points)-2])
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cross_product_next = np.cross(points[0] - points[len(points)-2],
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points[1] - points[len(points)-2])
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error_sum = 0
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for j in range(0, 3):
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error_sum += cross_product[j] - cross_product_next[j]
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if np.abs(error_sum) < accepted_error:
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clockwise = 1
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counter_clockwise = 0
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else:
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clockwise = 0
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counter_clockwise = 1
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for i in range(0, len(points)-2):
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cross_product_next = np.cross(points[i+1] - points[len(points)-2], points[i+2] - points[len(points)-2])
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error_sum = 0
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for j in range(0, 3):
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error_sum += cross_product[j] - cross_product_next[j]
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if np.abs(error_sum) < accepted_error:
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clockwise += 1
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else:
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counter_clockwise += 1
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if clockwise < counter_clockwise:
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cross_product = np.cross(points[0] - points[len(points) - 2],
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points[len(points) - 1] - points[len(points) - 2])
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else:
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cross_product = np.cross(points[len(points) - 1] - points[len(points) - 2],
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points[0] - points[len(points) - 2])
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self._normal = cross_product / np.linalg.norm(cross_product)
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return self._normal
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@ -495,3 +481,38 @@ class Surface:
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self._is_planar = False
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break
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return self._is_planar
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@property
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def rotate_surface_to_horizontal(self):
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z_vector = [0, 0, 1]
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normal_vector = self.normal
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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 self.points:
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horizontal_points.append([point[0], point[1], 0])
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else:
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alpha = GeometryHelper.angle_between_vectors(normal_vector, z_vector)
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rotation_line = np.cross(normal_vector, z_vector)
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third_axis = np.cross(normal_vector, rotation_line)
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w_1 = rotation_line / np.linalg.norm(rotation_line)
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w_2 = normal_vector
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w_3 = third_axis / np.linalg.norm(third_axis)
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rotation_matrix = np.array([[1, 0, 0],
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[0, math.cos(alpha), -math.sin(alpha)],
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[0, math.sin(alpha), math.cos(alpha)]])
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base_matrix = np.array([w_1, w_2, w_3])
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rotation_base_matrix = np.matmul(base_matrix.transpose(), rotation_matrix.transpose())
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rotation_base_matrix = np.matmul(rotation_base_matrix, base_matrix)
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if rotation_base_matrix is None:
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sys.stderr.write('Warning: rotation base matrix returned None\n')
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else:
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for point in self.points:
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new_point = np.matmul(rotation_base_matrix, point)
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horizontal_points.append(new_point)
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return horizontal_points
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@ -4,6 +4,7 @@ SPDX - License - Identifier: LGPL - 3.0 - or -later
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Copyright © 2020 Project Author Guille Gutierrez guillermo.gutierrezmorote@concordia.ca
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Contributors Pilar Monsalvete pilar_monsalvete@yahoo.es
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"""
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import sys
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import math
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import numpy as np
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import open3d as o3d
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@ -18,7 +19,7 @@ class GeometryHelper:
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Geometry helper class
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"""
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def __init__(self, delta=0.5, area_delta=0.5):
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def __init__(self, delta=0, area_delta=0):
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self._delta = delta
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self._area_delta = area_delta
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@ -252,3 +253,12 @@ class GeometryHelper:
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power += math.pow(vertex2[dimension]-vertex1[dimension], 2)
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distance = math.sqrt(power)
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return distance
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@staticmethod
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def angle_between_vectors(vec_1, vec_2):
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if np.linalg.norm(vec_1) == 0 or np.linalg.norm(vec_2) == 0:
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sys.stderr.write("Warning: impossible to calculate angle between planes' normal. Return 0\n")
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return 0
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alpha = math.acos(np.dot(vec_1, vec_2) / np.linalg.norm(vec_1) / np.linalg.norm(vec_2))
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return alpha
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@ -238,12 +238,10 @@ class TestGeometryFactory(TestCase):
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self.assertIsNone(thermal_opening.thickness, 'thermal_opening thickness_m was initialized')
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self.assertRaises(Exception, lambda: thermal_opening.u_value, 'thermal_opening u_value was initialized')
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def test_is_planar(self):
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def tests_with_building_bld100087(self):
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building = 'bld100087.gml'
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file_path = (self._example_path / building).resolve()
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city = GeometryFactory('citygml', file_path).city
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for building in city.buildings:
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for surface in building.surfaces:
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print(surface.type, surface.area)
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print('volume', building.volume)
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373
tests_data/bld100087.gml
Normal file
373
tests_data/bld100087.gml
Normal file
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@ -0,0 +1,373 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<core:CityModel xmlns:brid="http://www.opengis.net/citygml/bridge/2.0" xmlns:tran="http://www.opengis.net/citygml/transportation/2.0" xmlns:frn="http://www.opengis.net/citygml/cityfurniture/2.0" xmlns:wtr="http://www.opengis.net/citygml/waterbody/2.0" xmlns:sch="http://www.ascc.net/xml/schematron" xmlns:veg="http://www.opengis.net/citygml/vegetation/2.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:tun="http://www.opengis.net/citygml/tunnel/2.0" xmlns:tex="http://www.opengis.net/citygml/texturedsurface/2.0" xmlns:gml="http://www.opengis.net/gml" xmlns:gen="http://www.opengis.net/citygml/generics/2.0" xmlns:dem="http://www.opengis.net/citygml/relief/2.0" xmlns:app="http://www.opengis.net/citygml/appearance/2.0" xmlns:luse="http://www.opengis.net/citygml/landuse/2.0" xmlns:xAL="urn:oasis:names:tc:ciq:xsdschema:xAL:2.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:smil20lang="http://www.w3.org/2001/SMIL20/Language" xmlns:pbase="http://www.opengis.net/citygml/profiles/base/2.0" xmlns:smil20="http://www.w3.org/2001/SMIL20/" xmlns:bldg="http://www.opengis.net/citygml/building/2.0" xmlns:core="http://www.opengis.net/citygml/2.0" xmlns:grp="http://www.opengis.net/citygml/cityobjectgroup/2.0">
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<gml:boundedBy>
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<gml:Envelope srsName="EPSG:26911" srsDimension="3">
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<gml:lowerCorner>326011.03601000085 5526048.416990001 -1.6000000000058208</gml:lowerCorner>
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<gml:upperCorner>329466.6600299999 5529018.72205 9.80000000000291</gml:upperCorner>
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</gml:Envelope>
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</gml:boundedBy>
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<core:cityObjectMember>
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<bldg:Building gml:id="BLD100087">
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<gen:doubleAttribute name="gross_floor_area">
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<gen:value>148</gen:value>
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</gen:doubleAttribute>
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<gen:stringAttribute name="gross_floor_raea_unit">
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<gen:value>m2</gen:value>
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</gen:stringAttribute>
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<bldg:function>residential</bldg:function>
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<bldg:yearOfConstruction>2019</bldg:yearOfConstruction>
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<bldg:measuredHeight>4.4</bldg:measuredHeight>
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<bldg:storeysAboveGround>1</bldg:storeysAboveGround>
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<bldg:lod2Solid>
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<gml:Solid srsName="EPSG:26911" srsDimension="3">
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<gml:exterior>
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<gml:CompositeSurface>
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<gml:surfaceMember xlink:href="#UUID_198440d7-58b8-4ced-b98c-0779cb2ff55a"/>
|
||||
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<gml:posList>327904.02800000086 5527606.081 2.8999999999941792 327903.6182000004 5527610.50165 4.076969999994617 327902.4248399995 5527611.731040001 4.399999999994179 327896.716 5527606.1899999995 2.8999999999941792 327904.02800000086 5527606.081 2.8999999999941792</gml:posList>
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||||
</gml:LinearRing>
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</gml:exterior>
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</gml:Polygon>
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||||
</gml:surfaceMember>
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</gml:MultiSurface>
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||||
</bldg:lod2MultiSurface>
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||||
</bldg:RoofSurface>
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||||
</bldg:boundedBy>
|
||||
<bldg:boundedBy>
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||||
<bldg:RoofSurface gml:id="UUID_2a766b32-03e3-43b8-9ed4-d1ce04ebf6e6">
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<bldg:lod2MultiSurface>
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<gml:MultiSurface srsName="EPSG:26911" srsDimension="3">
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<gml:surfaceMember>
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<gml:Polygon gml:id="UUID_8f847375-a145-4d35-89ce-d68668b9c803">
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<gml:exterior>
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<gml:LinearRing>
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<gml:posList>327908.15699999966 5527618.875 2.8999999999941792 327906.6085899994 5527617.37174 3.30688000000373 327906.58634999953 5527615.85674 3.3068099999945844 327902.4261399992 5527611.81845 4.399999999994179 327902.4248399995 5527611.731040001 4.399999999994179 327903.6182000004 5527610.50165 4.076969999994617 327907.9790000003 5527606.880999999 2.8999999999941792 327908.15699999966 5527618.875 2.8999999999941792</gml:posList>
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</gml:LinearRing>
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</gml:exterior>
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</gml:Polygon>
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||||
</gml:surfaceMember>
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||||
</gml:MultiSurface>
|
||||
</bldg:lod2MultiSurface>
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||||
</bldg:RoofSurface>
|
||||
</bldg:boundedBy>
|
||||
<bldg:boundedBy>
|
||||
<bldg:RoofSurface gml:id="UUID_8401655f-eb98-41c1-b684-34cc31b3f5f6">
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<bldg:lod2MultiSurface>
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<gml:MultiSurface srsName="EPSG:26911" srsDimension="3">
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<gml:surfaceMember>
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<gml:Polygon gml:id="UUID_a7b817b0-47f3-4979-b24d-9b0ff0b913bc">
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<gml:exterior>
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<gml:LinearRing>
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<gml:posList>327905.08299 5527617.404999999 2.8999999999941792 327906.58634999953 5527615.85674 3.3068099999945844 327906.6085899994 5527617.37174 3.30688000000373 327905.10500000045 5527618.92 2.8999999999941792 327905.08299 5527617.404999999 2.8999999999941792</gml:posList>
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||||
</gml:LinearRing>
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</gml:exterior>
|
||||
</gml:Polygon>
|
||||
</gml:surfaceMember>
|
||||
</gml:MultiSurface>
|
||||
</bldg:lod2MultiSurface>
|
||||
</bldg:RoofSurface>
|
||||
</bldg:boundedBy>
|
||||
<bldg:boundedBy>
|
||||
<bldg:RoofSurface gml:id="UUID_6b1b15ff-d73d-4443-9d1a-eb9e3d33c8cf">
|
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<bldg:lod2MultiSurface>
|
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<gml:MultiSurface srsName="EPSG:26911" srsDimension="3">
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||||
<gml:surfaceMember>
|
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<gml:Polygon gml:id="UUID_604d603b-0f93-4e45-89ab-cdf9817d9c41">
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<gml:exterior>
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<gml:LinearRing>
|
||||
<gml:posList>327903.13698999956 5527617.434 2.8999999999941792 327899.9643300008 5527614.354800001 3.733559999993304 327902.4261399992 5527611.81845 4.399999999994179 327906.58634999953 5527615.85674 3.3068099999945844 327905.08299 5527617.404999999 2.8999999999941792 327903.13698999956 5527617.434 2.8999999999941792</gml:posList>
|
||||
</gml:LinearRing>
|
||||
</gml:exterior>
|
||||
</gml:Polygon>
|
||||
</gml:surfaceMember>
|
||||
</gml:MultiSurface>
|
||||
</bldg:lod2MultiSurface>
|
||||
</bldg:RoofSurface>
|
||||
</bldg:boundedBy>
|
||||
</bldg:Building>
|
||||
</core:cityObjectMember>
|
||||
</core:CityModel>
|
||||
Loading…
Reference in New Issue
Block a user