217 lines
5.0 KiB
Python
217 lines
5.0 KiB
Python
import json
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import math
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import matplotlib.pyplot as plt
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# ============================================================
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# 参数配置
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# ============================================================
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# 起点：采用你提供的第一个路径点
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START_LAT = 30.80062100422322
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START_LON = 121.21541599992909
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TURN_RADIUS = 1.5
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MISSION_SPEED = 0.32
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ARC_SPACING = 0.3
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# 地球半径（m）
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EARTH_RADIUS = 6378137.0
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#
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first_line_length = 6.0
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first_arc_rad = math.pi # 180° 半圆
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second_line_length = 8.0
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second_arc_rad = math.pi / 2 # 90° 四分之一圆
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third_line_length = 5.0
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# ============================================================
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# 工具函数
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# ============================================================
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def normalize_yaw(yaw):
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"""将 yaw 归一化到 [-pi, pi]。"""
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return math.atan2(math.sin(yaw), math.cos(yaw))
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def local_to_latlon(x, y):
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"""
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局部 ENU 坐标转经纬度。
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x: East，向东为正，单位 m
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y: North，向北为正，单位 m
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"""
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lat0 = math.radians(START_LAT)
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lat = START_LAT + math.degrees(y / EARTH_RADIUS)
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lon = START_LON + math.degrees(
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x / (EARTH_RADIUS * math.cos(lat0))
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)
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return lat, lon
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def add_point(points, x, y, yaw):
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"""添加一个 [latitude, longitude, yaw] 路径点。"""
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lat, lon = local_to_latlon(x, y)
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points.append([
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round(lat, 12),
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round(lon, 12),
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round(normalize_yaw(yaw), 9)
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])
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def add_arc(points, cx, cy, radius,
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start_angle, sweep_angle, spacing):
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"""
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添加圆弧采样点，不重复添加圆弧起点。
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yaw 为圆弧的切线方向，单位 rad。
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"""
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arc_length = abs(radius * sweep_angle)
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num_segments = max(1, math.ceil(arc_length / spacing))
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for i in range(1, num_segments + 1):
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ratio = i / num_segments
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angle = start_angle + sweep_angle * ratio
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x = cx + radius * math.cos(angle)
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y = cy + radius * math.sin(angle)
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# CCW 左转时，切线方向 = 圆心角 + pi/2
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yaw = angle + (
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math.pi / 2 if sweep_angle > 0
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else -math.pi / 2
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)
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add_point(points, x, y, yaw)
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coordinates = []
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# 1. 第一段直线：长度 6 m
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# 起点 (0, 0)，终点 (6, 0)
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add_point(coordinates, 0, 0, 0.0)
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add_point(coordinates, first_line_length, 0, 0.0)
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# 第一段圆弧起始索引
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first_turn_index = len(coordinates) - 1
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# 2. 第一段半圆：R=1，逆时针 180°
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# 圆心 (6, 1)，从 -90° 转到 90°
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add_arc(
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coordinates,
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cx=first_line_length,
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cy=TURN_RADIUS,
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radius=TURN_RADIUS,
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start_angle=-math.pi / 2,
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sweep_angle= first_arc_rad,
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spacing=ARC_SPACING
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)
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# 3. 第二段直线：长度 8 m
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# 半圆终点 (6, 2)，直线终点 (-2, 2)
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second_line_end_x = first_line_length - second_line_length
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second_line_end_y = 2 * TURN_RADIUS
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add_point(
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coordinates,
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second_line_end_x,
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second_line_end_y,
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math.pi
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)
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# 第二段圆弧起始索引
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second_turn_index = len(coordinates) - 1
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# 4. 第二段四分之一圆：顺时针 90°
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# 与第一段圆弧方向相反
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second_arc_cx = second_line_end_x
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second_arc_cy = second_line_end_y + TURN_RADIUS
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add_arc(
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coordinates,
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cx=second_arc_cx,
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cy=second_arc_cy,
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radius=TURN_RADIUS,
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start_angle=-math.pi / 2,
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sweep_angle=-second_arc_rad,
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spacing=ARC_SPACING
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)
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# 5. 最后一段直线：长度 5 m
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third_line_start_x = second_arc_cx
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third_line_start_y = second_arc_cy
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add_point(
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coordinates,
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third_line_start_x - TURN_RADIUS,
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third_line_start_y + third_line_length,
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math.pi / 2
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)
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# ============================================================
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# 构造符合现有项目的 GeoJSON
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# ============================================================
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path_json = {
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"type": "FeatureCollection",
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"properties": {
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"turnRadius": TURN_RADIUS,
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"misionSpeed": MISSION_SPEED
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},
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"features": [
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{
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"type": "Feature",
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"properties": {
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"turnInds": [
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first_turn_index,
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second_turn_index
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],
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"mission": []
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},
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"geometry": {
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"type": "LineString",
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"coordinates": coordinates
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}
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}
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]
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}
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# ============================================================
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# 保存文件
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# ============================================================
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output_file = "test_path.json"
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with open(output_file, "w", encoding="utf-8") as f:
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json.dump(
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path_json,
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f,
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ensure_ascii=False,
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indent=2
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)
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print(f"JSON 文件已生成: {output_file}")
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print(f"路径点数量: {len(coordinates)}")
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print(f"turnInds: {path_json['features'][0]['properties']['turnInds']}")
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print(f"起点: {coordinates[0]}")
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print(f"终点: {coordinates[-1]}")
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fig, ax = plt.subplots(figsize=(10, 6))
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ax.plot([p[0] for p in coordinates], [p[1] for p in coordinates], "-o", markersize=3, label="Path")
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ax.set_xlabel("X (m)")
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ax.set_ylabel("Y (m)")
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ax.axis("equal")
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ax.grid(True)
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ax.legend()
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plt.tight_layout()
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plt.show() |