526 lines
20 KiB
Python
526 lines
20 KiB
Python
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# earthwork_calculator.py
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import numpy as np
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from pyproj import Transformer, CRS
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from scipy.spatial import Delaunay
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from dataclasses import dataclass
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from typing import List, Dict, Optional, Tuple, Union
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import logging
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from enum import Enum
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from abc import ABC, abstractmethod
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import math
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logger = logging.getLogger(__name__)
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class AlgorithmType(Enum):
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"""计算算法类型"""
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GRID = "grid"
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TIN = "tin"
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PRISM = "prism"
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@dataclass
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class EarthworkResult3dTiles:
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"""土方量计算结果"""
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cut_volume: float # 挖方量 (m³)
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fill_volume: float # 填方量 (m³)
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net_volume: float # 净方量 (m³)
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area: float # 计算区域面积 (m²)
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avg_elevation: float # 平均高程
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min_elevation: float # 最低高程
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max_elevation: float # 最高高程
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points_count: int # 使用的点数
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bounding_box: Dict[str, List[float]] # 边界框
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volume_accuracy: float # 计算精度
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algorithm: str # 使用的算法
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resolution: float # 计算分辨率
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def to_dict(self) -> Dict:
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"""转换为字典"""
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return {
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"volume": {
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"cut": round(self.cut_volume, 3),
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"fill": round(self.fill_volume, 3),
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"net": round(self.net_volume, 3),
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"unit": "m³"
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},
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"area": {
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"value": round(self.area, 3),
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"unit": "m²"
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},
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"elevation": {
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"average": round(self.avg_elevation, 3),
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"min": round(self.min_elevation, 3),
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"max": round(self.max_elevation, 3),
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"unit": "m"
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},
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"statistics": {
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"points_count": self.points_count,
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"accuracy": round(self.volume_accuracy, 3),
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"algorithm": self.algorithm
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},
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"bounding_box": self.bounding_box,
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"calculation_params": {
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"resolution": self.resolution,
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"accuracy": self.volume_accuracy
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}
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}
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class TerrainDataSource(ABC):
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"""地形数据源抽象类"""
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@abstractmethod
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async def get_points_in_polygon(self,
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polygon_coords: List[List[float]],
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z_range: Optional[Tuple[float, float]] = None) -> np.ndarray:
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"""
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获取多边形区域内的点云数据
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Args:
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polygon_coords: 多边形坐标 [[x1,y1], [x2,y2], ...]
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z_range: 高程范围 (min_z, max_z)
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Returns:
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Nx3的numpy数组 [x, y, z]
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"""
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pass
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@abstractmethod
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async def get_data_bounds(self) -> Dict[str, List[float]]:
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"""获取数据范围"""
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pass
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@abstractmethod
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def get_crs(self) -> str:
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"""获取数据坐标系"""
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pass
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class GeometryUtils:
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"""几何计算工具类"""
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@staticmethod
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def calculate_polygon_area(polygon_coords: List[List[float]]) -> float:
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"""计算多边形面积（平面面积）"""
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polygon_np = np.array(polygon_coords)
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x = polygon_np[:, 0]
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y = polygon_np[:, 1]
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return 0.5 * np.abs(np.dot(x, np.roll(y, 1)) - np.dot(y, np.roll(x, 1)))
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@staticmethod
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def is_point_in_polygon(point: np.ndarray, polygon: np.ndarray) -> bool:
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"""判断点是否在多边形内"""
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from matplotlib.path import Path
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path = Path(polygon)
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return path.contains_point(point)
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@staticmethod
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def calculate_triangle_area(points: np.ndarray) -> float:
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"""计算三角形面积"""
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a = np.linalg.norm(points[0] - points[1])
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b = np.linalg.norm(points[1] - points[2])
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c = np.linalg.norm(points[2] - points[0])
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s = (a + b + c) / 2
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return np.sqrt(s * (s - a) * (s - b) * (s - c))
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@staticmethod
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def create_grid(polygon: np.ndarray, resolution: float) -> Tuple[np.ndarray, np.ndarray, np.ndarray]:
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"""创建规则格网"""
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x_min, y_min = polygon.min(axis=0)
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x_max, y_max = polygon.max(axis=0)
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# 扩展一个格网单元
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x_min -= resolution
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x_max += resolution
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y_min -= resolution
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y_max += resolution
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x_grid = np.arange(x_min, x_max + resolution, resolution)
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y_grid = np.arange(y_min, y_max + resolution, resolution)
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xx, yy = np.meshgrid(x_grid, y_grid)
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return xx, yy, x_grid, y_grid
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@staticmethod
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def interpolate_grid(xx: np.ndarray, yy: np.ndarray,
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points: np.ndarray, method: str = 'linear') -> np.ndarray:
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"""格网插值"""
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from scipy.interpolate import LinearNDInterpolator, CloughTocher2DInterpolator
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grid_points = np.column_stack([xx.ravel(), yy.ravel()])
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if method == 'linear':
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interpolator = LinearNDInterpolator(points[:, :2], points[:, 2])
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elif method == 'cubic':
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interpolator = CloughTocher2DInterpolator(points[:, :2], points[:, 2])
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else:
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raise ValueError(f"不支持的插值方法: {method}")
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elevations = interpolator(grid_points)
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return elevations.reshape(xx.shape)
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class EarthworkCalculator3dTiles:
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"""土方量计算器"""
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def __init__(self, data_source: TerrainDataSource):
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"""
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初始化计算器
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Args:
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data_source: 地形数据源
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"""
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self.data_source = data_source
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self._transformer_cache = {}
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async def calculate(self,
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polygon_coords: List[List[float]],
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design_elevation: float,
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algorithm: AlgorithmType = AlgorithmType.TIN,
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resolution: float = 1.0,
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target_crs: str = "EPSG:4326",
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interpolation_method: str = 'linear') -> EarthworkResult3dTiles:
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"""
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计算土方量
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Args:
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polygon_coords: 多边形坐标
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design_elevation: 设计高程
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algorithm: 计算算法
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resolution: 格网分辨率（米）
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target_crs: 目标坐标系
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interpolation_method: 插值方法
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Returns:
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EarthworkResult: 计算结果
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"""
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try:
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# 1. 获取数据
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points = await self.data_source.get_points_in_polygon(polygon_coords)
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if points.size == 0:
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raise ValueError("区域内没有找到高程数据")
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# 2. 坐标转换
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points = await self._transform_coordinates(points, target_crs)
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# 3. 执行计算
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if algorithm == AlgorithmType.GRID:
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result = await self._calculate_grid(points, polygon_coords,
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design_elevation, resolution,
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interpolation_method)
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elif algorithm == AlgorithmType.TIN:
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result = await self._calculate_tin(points, polygon_coords,
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design_elevation)
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elif algorithm == AlgorithmType.PRISM:
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result = await self._calculate_prism(points, polygon_coords,
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design_elevation, resolution)
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else:
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raise ValueError(f"不支持的算法: {algorithm}")
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return result
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except Exception as e:
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logger.error(f"土方量计算失败: {str(e)}")
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raise
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async def _transform_coordinates(self, points: np.ndarray,
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target_crs: str) -> np.ndarray:
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"""坐标转换"""
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source_crs = self.data_source.get_crs()
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if source_crs == target_crs:
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return points
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cache_key = f"{source_crs}->{target_crs}"
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if cache_key not in self._transformer_cache:
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self._transformer_cache[cache_key] = Transformer.from_crs(
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CRS.from_string(source_crs),
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CRS.from_string(target_crs),
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always_xy=True
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)
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transformer = self._transformer_cache[cache_key]
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points_2d = transformer.transform(points[:, 0], points[:, 1])
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return np.column_stack([points_2d[0], points_2d[1], points[:, 2]])
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async def _calculate_grid(self, points: np.ndarray,
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polygon_coords: List[List[float]],
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design_elevation: float,
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resolution: float,
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interpolation_method: str) -> EarthworkResult3dTiles:
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"""格网法计算"""
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polygon_np = np.array(polygon_coords)
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# 创建格网
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xx, yy, x_grid, y_grid = GeometryUtils.create_grid(polygon_np, resolution)
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# 插值
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natural_elevations = GeometryUtils.interpolate_grid(xx, yy, points, interpolation_method)
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# 初始化挖填量
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cut_volume = 0.0
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fill_volume = 0.0
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total_area = 0.0
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# 遍历每个格网单元
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for i in range(len(x_grid) - 1):
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for j in range(len(y_grid) - 1):
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# 格网四个角点
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cell_corners = np.array([
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[x_grid[i], y_grid[j]],
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[x_grid[i+1], y_grid[j]],
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[x_grid[i+1], y_grid[j+1]],
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[x_grid[i], y_grid[j+1]]
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])
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# 检查格网中心点是否在多边形内
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cell_center = cell_corners.mean(axis=0)
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if not GeometryUtils.is_point_in_polygon(cell_center, polygon_np):
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continue
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# 获取格网四个角点的高程
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cell_elevations = [
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natural_elevations[j, i],
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natural_elevations[j, i+1],
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natural_elevations[j+1, i+1],
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natural_elevations[j+1, i]
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]
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# 检查是否有无效数据
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if any(np.isnan(elev) for elev in cell_elevations):
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continue
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# 计算格网平均高程
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avg_elevation = np.mean(cell_elevations)
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cell_area = resolution * resolution
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total_area += cell_area
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# 计算挖填量
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height_diff = design_elevation - avg_elevation
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if height_diff > 0:
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fill_volume += height_diff * cell_area
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else:
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cut_volume += abs(height_diff) * cell_area
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# 计算统计信息
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area = GeometryUtils.calculate_polygon_area(polygon_coords)
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mask = ~np.isnan(natural_elevations)
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valid_elevations = natural_elevations[mask]
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return EarthworkResult3dTiles(
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cut_volume=cut_volume,
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fill_volume=fill_volume,
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net_volume=cut_volume - fill_volume,
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area=area,
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avg_elevation=np.mean(valid_elevations) if valid_elevations.size > 0 else 0,
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min_elevation=np.min(valid_elevations) if valid_elevations.size > 0 else 0,
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max_elevation=np.max(valid_elevations) if valid_elevations.size > 0 else 0,
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points_count=points.shape[0],
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bounding_box={
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"min": [x_grid[0], y_grid[0]],
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"max": [x_grid[-1], y_grid[-1]]
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},
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volume_accuracy=self._calculate_accuracy(points, resolution),
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algorithm=AlgorithmType.GRID.value,
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resolution=resolution
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).to_dict()
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async def _calculate_tin(self, points: np.ndarray,
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polygon_coords: List[List[float]],
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design_elevation: float) -> EarthworkResult3dTiles:
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"""三角网法计算"""
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polygon_np = np.array(polygon_coords)
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# 创建Delaunay三角网
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triangulation = Delaunay(points[:, :2])
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# 筛选多边形内的三角形
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cut_volume = 0.0
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fill_volume = 0.0
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total_area = 0.0
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for simplex in triangulation.simplices:
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triangle_points = points[simplex]
|
|||
|
|
triangle_center = triangle_points.mean(axis=0)[:2]
|
|||
|
|
|
|||
|
|
# 检查三角形中心是否在多边形内
|
|||
|
|
if not GeometryUtils.is_point_in_polygon(triangle_center, polygon_np):
|
|||
|
|
continue
|
|||
|
|
|
|||
|
|
# 计算三角形面积
|
|||
|
|
area = GeometryUtils.calculate_triangle_area(triangle_points[:, :2])
|
|||
|
|
total_area += area
|
|||
|
|
|
|||
|
|
# 计算平均高程（使用三个顶点的高程）
|
|||
|
|
avg_elevation = triangle_points[:, 2].mean()
|
|||
|
|
|
|||
|
|
# 计算挖填量
|
|||
|
|
height_diff = design_elevation - avg_elevation
|
|||
|
|
if height_diff > 0:
|
|||
|
|
fill_volume += height_diff * area
|
|||
|
|
else:
|
|||
|
|
cut_volume += abs(height_diff) * area
|
|||
|
|
|
|||
|
|
# 计算统计信息
|
|||
|
|
area = GeometryUtils.calculate_polygon_area(polygon_coords)
|
|||
|
|
|
|||
|
|
return EarthworkResult3dTiles(
|
|||
|
|
cut_volume=cut_volume,
|
|||
|
|
fill_volume=fill_volume,
|
|||
|
|
net_volume=cut_volume - fill_volume,
|
|||
|
|
area=area,
|
|||
|
|
avg_elevation=points[:, 2].mean(),
|
|||
|
|
min_elevation=points[:, 2].min(),
|
|||
|
|
max_elevation=points[:, 2].max(),
|
|||
|
|
points_count=points.shape[0],
|
|||
|
|
bounding_box={
|
|||
|
|
"min": points.min(axis=0)[:2].tolist(),
|
|||
|
|
"max": points.max(axis=0)[:2].tolist()
|
|||
|
|
},
|
|||
|
|
volume_accuracy=self._calculate_accuracy(points, 0),
|
|||
|
|
algorithm=AlgorithmType.TIN.value,
|
|||
|
|
resolution=0
|
|||
|
|
).to_dict()
|
|||
|
|
|
|||
|
|
async def _calculate_prism(self, points: np.ndarray,
|
|||
|
|
polygon_coords: List[List[float]],
|
|||
|
|
design_elevation: float,
|
|||
|
|
resolution: float) -> EarthworkResult3dTiles:
|
|||
|
|
"""三棱柱法计算"""
|
|||
|
|
# 先创建TIN
|
|||
|
|
polygon_np = np.array(polygon_coords)
|
|||
|
|
triangulation = Delaunay(points[:, :2])
|
|||
|
|
|
|||
|
|
cut_volume = 0.0
|
|||
|
|
fill_volume = 0.0
|
|||
|
|
total_area = 0.0
|
|||
|
|
|
|||
|
|
for simplex in triangulation.simplices:
|
|||
|
|
triangle_points = points[simplex]
|
|||
|
|
triangle_center = triangle_points.mean(axis=0)[:2]
|
|||
|
|
|
|||
|
|
if not GeometryUtils.is_point_in_polygon(triangle_center, polygon_np):
|
|||
|
|
continue
|
|||
|
|
|
|||
|
|
# 计算三角形面积
|
|||
|
|
area = GeometryUtils.calculate_triangle_area(triangle_points[:, :2])
|
|||
|
|
total_area += area
|
|||
|
|
|
|||
|
|
# 对于每个三角形，计算三棱柱体积
|
|||
|
|
# 这里简化处理，使用梯形公式
|
|||
|
|
for i in range(3):
|
|||
|
|
j = (i + 1) % 3
|
|||
|
|
# 计算边的长度
|
|||
|
|
edge_length = np.linalg.norm(triangle_points[i, :2] - triangle_points[j, :2])
|
|||
|
|
|
|||
|
|
# 计算边两端点的挖填高度
|
|||
|
|
height_i = design_elevation - triangle_points[i, 2]
|
|||
|
|
height_j = design_elevation - triangle_points[j, 2]
|
|||
|
|
|
|||
|
|
# 计算边的平均挖填高度
|
|||
|
|
avg_height = (abs(height_i) + abs(height_j)) / 2
|
|||
|
|
|
|||
|
|
# 计算边的面积（假设边宽度为resolution）
|
|||
|
|
edge_area = edge_length * resolution
|
|||
|
|
|
|||
|
|
if height_i > 0 or height_j > 0:
|
|||
|
|
fill_volume += avg_height * edge_area
|
|||
|
|
else:
|
|||
|
|
cut_volume += avg_height * edge_area
|
|||
|
|
|
|||
|
|
area = GeometryUtils.calculate_polygon_area(polygon_coords)
|
|||
|
|
|
|||
|
|
return EarthworkResult3dTiles(
|
|||
|
|
cut_volume=cut_volume,
|
|||
|
|
fill_volume=fill_volume,
|
|||
|
|
net_volume=cut_volume - fill_volume,
|
|||
|
|
area=area,
|
|||
|
|
avg_elevation=points[:, 2].mean(),
|
|||
|
|
min_elevation=points[:, 2].min(),
|
|||
|
|
max_elevation=points[:, 2].max(),
|
|||
|
|
points_count=points.shape[0],
|
|||
|
|
bounding_box={
|
|||
|
|
"min": points.min(axis=0)[:2].tolist(),
|
|||
|
|
"max": points.max(axis=0)[:2].tolist()
|
|||
|
|
},
|
|||
|
|
volume_accuracy=self._calculate_accuracy(points, resolution),
|
|||
|
|
algorithm=AlgorithmType.PRISM.value,
|
|||
|
|
resolution=resolution
|
|||
|
|
).to_dict()
|
|||
|
|
|
|||
|
|
def _calculate_accuracy(self, points: np.ndarray, resolution: float) -> float:
|
|||
|
|
"""计算精度评估"""
|
|||
|
|
if points.shape[0] < 10:
|
|||
|
|
return 0.5
|
|||
|
|
|
|||
|
|
# 基于点密度和分辨率估算精度
|
|||
|
|
if points.shape[0] > 0:
|
|||
|
|
# 计算点密度
|
|||
|
|
bounds = points[:, :2]
|
|||
|
|
area = (bounds[:, 0].max() - bounds[:, 0].min()) * \
|
|||
|
|
(bounds[:, 1].max() - bounds[:, 1].min())
|
|||
|
|
|
|||
|
|
if area > 0:
|
|||
|
|
point_density = points.shape[0] / area
|
|||
|
|
|
|||
|
|
if point_density > 100 and resolution <= 0.5: # 高密度，高分辨率
|
|||
|
|
return 0.05
|
|||
|
|
elif point_density > 10 and resolution <= 1.0:
|
|||
|
|
return 0.1
|
|||
|
|
elif point_density > 1:
|
|||
|
|
return 0.2
|
|||
|
|
|
|||
|
|
return 0.3
|
|||
|
|
|
|||
|
|
async def validate(self, polygon_coords: List[List[float]]) -> Dict:
|
|||
|
|
"""验证计算参数"""
|
|||
|
|
try:
|
|||
|
|
points = await self.data_source.get_points_in_polygon(polygon_coords)
|
|||
|
|
|
|||
|
|
validation_result = {
|
|||
|
|
"polygon_valid": len(polygon_coords) >= 3,
|
|||
|
|
"area": GeometryUtils.calculate_polygon_area(polygon_coords),
|
|||
|
|
"points_available": points.size > 0,
|
|||
|
|
"points_count": points.shape[0] if points.size > 0 else 0,
|
|||
|
|
"data_quality": "good" if points.shape[0] > 100 else "poor",
|
|||
|
|
"suggested_algorithm": self._suggest_algorithm(points),
|
|||
|
|
"estimated_accuracy": self._calculate_accuracy(points, 1.0) if points.size > 0 else None
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
if points.size > 0:
|
|||
|
|
validation_result.update({
|
|||
|
|
"elevation_range": {
|
|||
|
|
"min": float(points[:, 2].min()),
|
|||
|
|
"max": float(points[:, 2].max()),
|
|||
|
|
"avg": float(points[:, 2].mean())
|
|||
|
|
},
|
|||
|
|
"bounding_box": {
|
|||
|
|
"min": points.min(axis=0).tolist(),
|
|||
|
|
"max": points.max(axis=0).tolist()
|
|||
|
|
}
|
|||
|
|
})
|
|||
|
|
|
|||
|
|
return validation_result
|
|||
|
|
|
|||
|
|
except Exception as e:
|
|||
|
|
logger.error(f"验证失败: {str(e)}")
|
|||
|
|
return {
|
|||
|
|
"polygon_valid": False,
|
|||
|
|
"error": str(e)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
def _suggest_algorithm(self, points: np.ndarray) -> str:
|
|||
|
|
"""建议计算算法"""
|
|||
|
|
if points.shape[0] < 100:
|
|||
|
|
return AlgorithmType.TIN.value
|
|||
|
|
|
|||
|
|
# 计算点的规则性
|
|||
|
|
bounds = points[:, :2]
|
|||
|
|
x_range = bounds[:, 0].max() - bounds[:, 0].min()
|
|||
|
|
y_range = bounds[:, 1].max() - bounds[:, 1].min()
|
|||
|
|
|
|||
|
|
# 如果点分布相对规则，建议使用格网法
|
|||
|
|
if x_range > 0 and y_range > 0:
|
|||
|
|
aspect_ratio = max(x_range, y_range) / min(x_range, y_range)
|
|||
|
|
if aspect_ratio < 2: # 相对规则
|
|||
|
|
return AlgorithmType.GRID.value
|
|||
|
|
|
|||
|
|
return AlgorithmType.TIN.value
|