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Information to Uber’s H3 for Spatial Indexing

Admin by Admin
April 10, 2025
Home Machine Learning
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In at the moment’s data-driven world, environment friendly geospatial indexing is essential for functions starting from ride-sharing and logistics to environmental monitoring and catastrophe response. Uber’s H3, a robust open-source spatial indexing system, gives a singular hexagonal grid-based resolution that permits seamless geospatial evaluation and quick question execution. Not like conventional rectangular grid methods, H3’s hierarchical hexagonal tiling ensures uniform spatial protection, higher adjacency properties, and decreased distortion. This information explores H3’s core ideas, set up, performance, use circumstances, and greatest practices to assist builders and knowledge scientists leverage its full potential.

Studying Aims

  • Perceive the basics of Uber’s H3 spatial indexing system and its benefits over conventional grid methods.
  • Learn to set up and arrange H3 for geospatial functions in Python, JavaScript, and different languages.
  • Discover H3’s hierarchical hexagonal grid construction and its advantages for spatial accuracy and indexing.
  • Achieve hands-on expertise with core H3 features like neighbor lookup, polygon indexing, and distance calculations.
  • Uncover real-world functions of H3, together with machine studying, catastrophe response, and environmental monitoring.

This text was printed as part of the Information Science Blogathon.

What’s Uber H3?

Uber H3 is an open-source, hexagonal hierarchical spatial indexing system developed by Uber. It’s designed to effectively partition and index geographic house, enabling superior geospatial evaluation, quick queries, and seamless visualization. Not like conventional grid methods that use sq. or rectangular tiles, H3 makes use of hexagons, which give superior spatial relationships, higher adjacency properties, and reduce distortion when representing the Earth’s floor.

Why Uber Developed H3?

Uber developed H3 to unravel key challenges in geospatial computing, significantly in ride-sharing, logistics, and location-based providers. Conventional approaches based mostly on latitude-longitude coordinates, rectangular grids, or QuadTrees typically undergo from inconsistencies in decision, inefficient spatial queries, and poor illustration of real-world spatial relationships. H3 addresses these limitations by:

  • Offering a uniform, hierarchical hexagonal grid that enables for seamless scalability throughout totally different resolutions.
  • Enabling quick nearest-neighbour lookups and environment friendly spatial indexing for ride-demand forecasting, routing, and provide distribution.
  • Supporting spatial queries and geospatial clustering with excessive accuracy and minimal computational overhead.

Immediately, H3 is extensively utilized in functions past Uber, together with environmental monitoring, geospatial analytics, and geographic data methods (GIS).

What’s Spatial Indexing?

Spatial indexing is a way used to construction and manage geospatial knowledge effectively, permitting for quick spatial queries and improved knowledge retrieval efficiency. It’s essential for duties equivalent to:

  • Nearest neighbor search
  • Geospatial clustering
  • Environment friendly geospatial joins
  • Area-based filtering

H3 enhances spatial indexing by utilizing a hexagonal grid system, which improves spatial accuracy, gives higher adjacency properties, and reduces distortions present in conventional grid-based methods.

Set up Information (Python, JavaScript, Go, C, and so on.)

Installation Guide (Python, JavaScript, Go, C, etc.)

Setting Up H3 in a Growth Atmosphere

Allow us to now arrange H3 in a improvement surroundings under:

# Create a digital surroundings
python -m venv h3_env
supply h3_env/bin/activate  # Linux/macOS
h3_envScriptsactivate      # Home windows

# Set up dependencies
pip set up h3 geopandas matplotlib

Information Construction and Hierarchical Indexing

Under we’ll perceive knowledge construction and hierarchical indexing intimately:

Hexagonal Grid System

H3’s hexagonal grid partitions Earth into 122 base cells (decision 0), comprising 110 hexagons and 12 pentagons to approximate spherical geometry. Every cell undergoes hierarchical subdivision utilizing aperture 7 partitioning, the place each mother or father hexagon accommodates 7 baby cells on the subsequent decision stage. This creates 16 decision ranges (0-15) with exponentially reducing cell sizes:

Decision Avg Edge Size (km) Avg Space (km²) Cell Depend per Mum or dad
0 1,107.712 4,250,546 –
5 8.544 252.903 16,807
9 0.174 0.105 40,353,607
15 0.0005 0.0000009 7^15 ≈ 4.7e12

The code under demonstrates H3’s hierarchical hexagonal grid system :

import folium
import h3

base_cell="8001fffffffffff"  # Decision 0 pentagon
youngsters = h3.cell_to_children(base_cell, res=1)

# Create a map centered on the heart of the bottom hexagon
base_center = h3.cell_to_latlng(base_cell)
GeoSpatialMap = folium.Map(location=[base_center[0], base_center[1]], zoom_start=9)

# Perform to get hexagon boundaries
def get_hexagon_bounds(h3_address):
    boundaries = h3.cell_to_boundary(h3_address)
    # Folium expects coordinates in [lat, lon] format
    return [[lat, lng] for lat, lng in boundaries]

# Add base hexagon
folium.Polygon(
    areas=get_hexagon_bounds(base_cell),
    colour="crimson",
    fill=True,
    weight=2,
    popup=f'Base: {base_cell}'
).add_to(GeoSpatialMap)

# Add youngsters hexagons
for baby in youngsters:
    folium.Polygon(
        areas=get_hexagon_bounds(baby),
        colour="blue",
        fill=True,
        weight=1,
        popup=f'Youngster: {baby}'
    ).add_to(GeoSpatialMap)

GeoSpatialMap
geo spatial map; Spatial Indexing

Decision Ranges and Hierarchical Indexing

The hierarchical indexing construction permits multi-resolution evaluation via parent-child relationships. H3 helps hierarchical decision ranges (from 0 to fifteen), permitting knowledge to be listed at totally different granularities. 

The given code under reveals this relationship:

delhi_cell = h3.latlng_to_cell(28.6139, 77.2090, 9)  # New Delhi coordinates

# Traverse hierarchy upwards
mother or father = h3.cell_to_parent(delhi_cell, res=8)
print(f"Mum or dad at res 8: {mother or father}")

# Traverse hierarchy downwards
youngsters = h3.cell_to_children(mother or father, res=9)
print(f"Comprises {len(youngsters)} youngsters")

# Create a brand new map centered on New Delhi
delhi_map = folium.Map(location=[28.6139, 77.2090], zoom_start=15)

# Add the mother or father hexagon (decision 8)
folium.Polygon(
    areas=get_hexagon_bounds(mother or father),
    colour="crimson",
    fill=True,
    weight=2,
    popup=f'Mum or dad: {mother or father}'
).add_to(delhi_map)

# Add all youngsters hexagons (decision 9)
for child_cell in youngsters:
    colour="yellow" if child_cell == delhi_cell else 'blue'
    folium.Polygon(
        areas=get_hexagon_bounds(child_cell),
        colour=colour,
        fill=True,
        weight=1,
        popup=f'Youngster: {child_cell}'
    ).add_to(delhi_map)

delhi_map
delhi map

H3 Index Encoding

The H3 index encodes geospatial knowledge right into a 64-bit unsigned integer (generally represented as a 15-character hexadecimal string like ‘89283082837ffff’). H3 indexes have the next structure:

4 bits 3 bits 7 bits 45 bits
Mode and Decision Reserved Base Cell Youngster digits

We will perceive the encoding course of by the next code under:

import h3

# Convert coordinates to H3 index (decision 9)

lat, lng = 37.7749, -122.4194  # San Francisco
h3_index = h3.latlng_to_cell(lat, lng, 9)
print(h3_index)  # '89283082803ffff'

# Deconstruct index parts
## Get the decision

decision = h3.get_resolution(h3_index)
print(f"Decision: {decision}")

# Output: 9

# Get the bottom cell quantity
base_cell = h3.get_base_cell_number(h3_index)
print(f"Base cell: {base_cell}")
# Output: 20

# Verify if its a pentagon
is_pentagon = h3.is_pentagon(h3_index)
print(f"Is pentagon: {is_pentagon}")
# Output: False

# Get the icosahedron face
face = h3.get_icosahedron_faces(h3_index)
print(f"Face quantity: {face}")
# Output: [7]

# Get the kid cells
child_cells = h3.cell_to_children(h3.cell_to_parent(h3_index, 8), 9)
print(f"baby cells: {child_cells}")
# Output: ['89283082803ffff', '89283082807ffff', '8928308280bffff', '8928308280fffff', 
#          '89283082813ffff', '89283082817ffff', '8928308281bffff']

Core Features

Aside from the Hierarchical Indexing, among the different Core features of H3 are as follows:

  • Neighbor Lookup & Traversal
  • Polygon to H3 Indexing
  • H3 Grid Distance and Ok-Ring

Neighbor Lookup andTraversal

Neighbor lookup traversal refers to figuring out and navigating between adjoining cells in Uber’s H3 hexagonal grid system. This allows spatial queries like “discover all cells inside a radius of okay steps” from a goal cell. This idea will be understood from the code under:

import h3

# Outline latitude, longitude for Kolkata
lat, lng = 22.5744, 88.3629
decision = 9
h3_index = h3.latlng_to_cell(lat, lng, decision)
print(h3_index)  # e.g., '89283082837ffff'

# Discover all neighbors inside 1 grid step
neighbors = h3.grid_disk(h3_index, okay=1)
print(len(neighbors))  # 7 (6 neighbors + the unique cell)

# Verify edge adjacency
is_neighbor = h3.are_neighbor_cells(h3_index, neighbors[0])
print(is_neighbor)  # True or False

To generate the visualization of this we will merely use the code given under:

import h3
import folium

# Outline latitude, longitude for Kolkata
lat, lng = 22.5744, 88.3629
decision = 9  # H3 decision

# Convert lat/lng to H3 index
h3_index = h3.latlng_to_cell(lat, lng, decision)

# Get neighboring hexagons
neighbors = h3.grid_disk(h3_index, okay=1)

# Initialize map centered on the given location
m = folium.Map(location=[lat, lng], zoom_start=12)

# Perform so as to add hexagons to the map
def add_hexagon(h3_index, colour):
    """ Provides an H3 hexagon to the folium map """
    boundary = h3.cell_to_boundary(h3_index)
    # Convert to [lat, lng] format for folium
    boundary = [[lat, lng] for lat, lng in boundary]
    folium.Polygon(
        areas=boundary,
        colour=colour,
        fill=True,
        fill_color=colour,
        fill_opacity=0.5
    ).add_to(m)

# Add central hexagon in crimson
add_hexagon(h3_index, "crimson")

# Add neighbor hexagons in blue
for neighbor in neighbors:
    if neighbor != h3_index:  # Keep away from recoloring the middle
        add_hexagon(neighbor, "blue")

# Show the map
m
Neighbor_Lookup_and_traversal

Use circumstances of Neighbor Lookup & Traversal are as follows:

  • Experience Sharing: Discover obtainable drivers inside a 5-minute drive radius.
  • Spatial Aggregation: Calculate whole rainfall in cells inside 10 km of a flood zone.
  • Machine Studying: Generate neighborhood options for demand prediction fashions.

Polygon to H3 Indexing

Changing a polygon to H3 indexes includes figuring out all hexagonal cells at a specified decision that absolutely or partially intersect with the polygon. That is crucial for spatial operations like aggregating knowledge inside geographic boundaries. This might be understood from the given code under:

import h3   

# Outline a polygon (e.g., San Francisco bounding field)  
polygon_coords = h3.LatLngPoly(
    [(37.708, -122.507), (37.708, -122.358), (37.832, -122.358), (37.832, -122.507)]
)

# Convert polygon to H3 cells (decision 9)  
decision = 9  
cells = h3.polygon_to_cells(polygon_coords, res=decision)  
print(f"Complete cells: {len(cells)}")  
# Output: ~ 1651

To visualise this we will observe the given code under:

import h3
import folium
from h3 import LatLngPoly

# Outline a bounding polygon for Kolkata
kolkata_coords = LatLngPoly([
    (22.4800, 88.2900),  # Southwest corner
    (22.4800, 88.4200),  # Southeast corner
    (22.5200, 88.4500),  # East
    (22.5700, 88.4500),  # Northeast
    (22.6200, 88.4200),  # North
    (22.6500, 88.3500),  # Northwest
    (22.6200, 88.2800),  # West
    (22.5500, 88.2500),  # Southwest
    (22.5000, 88.2700)   # Return to starting area
])
# Add extra boundary coordinates for extra particular map

# Convert polygon to H3 cells
decision = 9
cells = h3.polygon_to_cells(kolkata_coords, res=decision)

# Create a Folium map centered round Kolkata
kolkata_map = folium.Map(location=[22.55, 88.35], zoom_start=12)

# Add every H3 cell as a polygon
for cell in cells:
    boundaries = h3.cell_to_boundary(cell)
    # Convert to [lat, lng] format for folium
    boundaries = [[lat, lng] for lat, lng in boundaries]
    folium.Polygon(
        areas=boundaries,
        colour="blue",
        weight=1,
        fill=True,
        fill_opacity=0.4,
        popup=cell
    ).add_to(kolkata_map)

# Present map
kolkata_map
kolkata map

H3 Grid Distance and Ok-Ring

Grid distance measures the minimal variety of steps required to traverse from one H3 cell to a different, transferring via adjoining cells. Not like geographical distance, it’s a topological metric based mostly on hexagonal grid connectivity. And we must always needless to say larger resolutions yield smaller steps so the grid distance can be bigger.

import h3
from h3 import latlng_to_cell

# Outline two H3 cells at decision 9  
cell_a = latlng_to_cell(37.7749, -122.4194, 9)  # San Francisco  
cell_b = latlng_to_cell(37.3382, -121.8863, 9)  # San Jose  

# Calculate grid distance  
distance = h3.grid_distance(cell_a, cell_b)  
print(f"Grid distance: {distance} steps")  
# Output: Grid distance: 220 steps (approx)

We will visualize this with the next given code:

import h3
import folium
from h3 import latlng_to_cell
from shapely.geometry import Polygon

# Perform to get H3 polygon boundary
def get_h3_polygon(h3_index):
    boundary = h3.cell_to_boundary(h3_index)
    return [(lat, lon) for lat, lon in boundary]

# Outline two H3 cells at decision 6
cell_a = latlng_to_cell(37.7749, -122.4194, 6)  # San Francisco
cell_b = latlng_to_cell(37.3382, -121.8863, 6)  # San Jose

# Get hexagon boundaries
polygon_a = get_h3_polygon(cell_a)
polygon_b = get_h3_polygon(cell_b)

# Compute grid distance
distance = h3.grid_distance(cell_a, cell_b)

# Create a folium map centered between the 2 areas
map_center = [(37.7749 + 37.3382) / 2, (-122.4194 + -121.8863) / 2]
m = folium.Map(location=map_center, zoom_start=9)

# Add H3 hexagons to the map
folium.Polygon(areas=polygon_a, colour="blue", fill=True, fill_opacity=0.4, popup="San Francisco (H3)").add_to(m)
folium.Polygon(areas=polygon_b, colour="crimson", fill=True, fill_opacity=0.4, popup="San Jose (H3)").add_to(m)

# Add markers for the middle factors
folium.Marker([37.7749, -122.4194], popup="San Francisco").add_to(m)
folium.Marker([37.3382, -121.8863], popup="San Jose").add_to(m)

# Show distance
folium.Marker(map_center, popup=f"H3 Grid Distance: {distance} steps", icon=folium.Icon(colour="inexperienced")).add_to(m)

# Present the map
m
Grid_Distance

And Ok-Ring (or grid disk) in H3 refers to all hexagonal cells inside okay grid steps from a central cell. This contains:

  • The central cell itself (at step 0).
  • Instant neighbors (step 1).
  • Cells at progressively bigger distances as much as `okay` steps.
import h3  

# Outline a central cell (San Francisco at decision 9)  
central_cell = h3.latlng_to_cell(37.7749, -122.4194, 9)  
okay = 2  

# Generate Ok-Ring (cells inside 2 steps)  
k_ring = h3.grid_disk(central_cell, okay)  
print(f"Complete cells: {len(k_ring)}")  # e.g., 19 cells  

This may be visualized from the plot given under:

import h3
import matplotlib.pyplot as plt
from shapely.geometry import Polygon
import geopandas as gpd

# Outline central level (latitude, longitude) for San Francisco [1]
lat, lng = 37.7749, -122.4194
decision = 9  # Select decision (e.g., 9) [1]

# Get hold of central H3 cell index for the given level [1]
center_h3 = h3.latlng_to_cell(lat, lng, decision)
print("Central H3 cell:", center_h3)  # Instance output: '89283082837ffff'

# Outline okay worth (variety of grid steps) for the k-ring [1]
okay = 2

# Generate k-ring of cells: all cells inside okay grid steps of centerH3 [1]
k_ring_cells = h3.grid_disk(center_h3, okay)
print("Complete k-ring cells:", len(k_ring_cells))
# For the standard hexagon (non-pentagon), okay=2 usually returns 19 cells:
# 1 (central cell) + 6 (neighbors at distance 1) + 12 (neighbors at distance 2)

# Convert every H3 cell right into a Shapely polygon for visualization [1][6]
polygons = []
for cell in k_ring_cells:
    # Get the cell boundary as an inventory of (lat, lng) pairs; geo_json=True returns in [lat, lng]
    boundary = h3.cell_to_boundary(cell)
    # Swap to (lng, lat) as a result of Shapely expects (x, y)
    poly = Polygon([(lng, lat) for lat, lng in boundary])
    polygons.append(poly)

# Create a GeoDataFrame for plotting the hexagonal cells [2]
gdf = gpd.GeoDataFrame({'h3_index': listing(k_ring_cells)}, geometry=polygons)

# Plot the boundaries of the k-ring cells utilizing Matplotlib [2][6]
fig, ax = plt.subplots(figsize=(8, 8))
gdf.boundary.plot(ax=ax, colour="blue", lw=1)

# Spotlight the central cell by plotting its boundary in crimson [1]
central_boundary = h3.cell_to_boundary(center_h3)
central_poly = Polygon([(lng, lat) for lat, lng in central_boundary])
gpd.GeoSeries([central_poly]).boundary.plot(ax=ax, colour="crimson", lw=2)

# Set plot labels and title for clear visualization
ax.set_title("H3 Ok-Ring Visualization (okay = 2)")
ax.set_xlabel("Longitude")
ax.set_ylabel("Latitude")
plt.present()
K-Ring with K=2

Use Circumstances

Whereas the use circumstances of H3 are solely restricted to at least one’s creativity, listed here are few examples of it : 

Environment friendly Geo-Spatial Queries

H3 excels at optimizing location-based queries, equivalent to counting factors of curiosity (POIs) inside dynamic geographic boundaries.

On this use case, we show how H3 will be utilized to research and visualize experience pickup density in San Francisco utilizing Python. To simulate real-world experience knowledge, we generate random GPS coordinates centered round San Francisco. We additionally assign every experience a random timestamp inside the previous week to create a sensible dataset. Every experience’s latitude and longitude are transformed into an H3 index at decision 10, a fine-grained hexagonal grid that helps in spatial aggregation. To investigate native experience pickup density, we choose a goal H3 cell and retrieve all close by cells inside two hexagonal rings utilizing h3.grid_disk. To visualise the spatial distribution of pickups, we overlay the H3 hexagons onto a Folium map.

Code Implementation

The execution code is given under:

import pandas as pd
import h3
import folium
import matplotlib.pyplot as plt
import numpy as np
from datetime import datetime, timedelta
import random

# Create pattern GPS knowledge round San Francisco
# Heart coordinates for San Francisco
center_lat, center_lng = 37.7749, -122.4194

# Generate artificial experience knowledge
num_rides = 1000
np.random.seed(42)  # For reproducibility

# Generate random coordinates round San Francisco
lats = np.random.regular(center_lat, 0.02, num_rides)  # Regular distribution round heart
lngs = np.random.regular(center_lng, 0.02, num_rides)

# Generate timestamps for the previous week
start_time = datetime.now() - timedelta(days=7)
timestamps = [start_time + timedelta(minutes=random.randint(0, 10080)) for _ in range(num_rides)]
timestamp_strs = [ts.strftime('%Y-%m-%d %H:%M:%S') for ts in timestamps]

# Create DataFrame
rides = pd.DataFrame({
    'lat': lats,
    'lng': lngs,
    'timestamp': timestamp_strs
})

# Convert coordinates to H3 indexes (decision 10)
rides["h3"] = rides.apply(
    lambda row: h3.latlng_to_cell(row["lat"], row["lng"], 10), axis=1  
)

# Depend pickups per cell
pickup_counts = rides["h3"].value_counts().reset_index()
pickup_counts.columns = ["h3", "counts"]

# Question pickups inside a particular cell and its neighbors 
target_cell = h3.latlng_to_cell(37.7749, -122.4194, 10)
neighbors = h3.grid_disk(target_cell, okay=2)
local_pickups = pickup_counts[pickup_counts["h3"].isin(neighbors)]

# Visualize the spatial question outcomes
map_center = h3.cell_to_latlng(target_cell)
m = folium.Map(location=map_center, zoom_start=15)

# Perform to get hexagon boundaries
def get_hexagon_bounds(h3_address):
    boundaries = h3.cell_to_boundary(h3_address)
    return [[lat, lng] for lat, lng in boundaries]

# Add goal cell
folium.Polygon(
    areas=get_hexagon_bounds(target_cell),
    colour="crimson",
    fill=True,
    weight=2,
    popup=f'Goal Cell: {target_cell}'
).add_to(m)

# Coloration scale for counts
max_count = local_pickups["counts"].max()
min_count = local_pickups["counts"].min()

# Add neighbor cells with colour depth based mostly on pickup counts
for _, row in local_pickups.iterrows():
    if row["h3"] != target_cell:
        # Calculate colour depth based mostly on rely
        depth = (row["counts"] - min_count) / (max_count - min_count) if max_count > min_count else 0.5
        colour = f'#{int(255*(1-intensity)):02x}{int(200*(1-intensity)):02x}ff'
        
        folium.Polygon(
            areas=get_hexagon_bounds(row["h3"]),
            colour=colour,
            fill=True,
            fill_opacity=0.7,
            weight=1,
            popup=f'Cell: {row["h3"]}
Pickups: {row["counts"]}' ).add_to(m) # Create a heatmap visualization with matplotlib plt.determine(figsize=(12, 8)) plt.title("H3 Grid Heatmap of Experience Pickups") # Create a scatter plot for cells, dimension based mostly on pickup counts for idx, row in local_pickups.iterrows(): heart = h3.cell_to_latlng(row["h3"]) plt.scatter(heart[1], heart[0], s=row["counts"]/2, c=row["counts"], cmap='viridis', alpha=0.7) plt.colorbar(label="Variety of Pickups") plt.xlabel('Longitude') plt.ylabel('Latitude') plt.grid(True) # Show each visualizations m # Show the folium map
use_case_1: Spatial Indexing
Heatmap; Spatial Indexing

The above instance highlights how H3 will be leveraged for spatial evaluation in city mobility. By changing uncooked GPS coordinates right into a hexagonal grid, we will effectively analyze experience density, detect hotspots, and visualize knowledge in an insightful method. H3’s flexibility in dealing with totally different resolutions makes it a useful device for geospatial analytics in ride-sharing, logistics, and concrete planning functions.

Combining H3 with Machine Studying

H3 has been mixed with Machine Studying to unravel many actual world issues. Uber decreased ETA prediction errors by 22% utilizing H3-based ML fashions whereas Toulouse, France, used H3 + ML to optimize bike lane placement, rising ridership by 18%.

On this use case, we show how H3 will be utilized to research and predict site visitors congestion in San Francisco utilizing historic GPS experience knowledge and machine studying methods. To simulate real-world site visitors situations, we generate random GPS coordinates centered round San Francisco. Every experience is assigned a random timestamp inside the previous week, together with a randomly generated velocity worth. Every experience’s latitude and longitude are transformed into an H3 index at decision 10, enabling spatial aggregation and evaluation. We extract options from a pattern cell and its neighboring cells inside two hexagonal rings to research native site visitors situations. To foretell site visitors congestion, we use an LSTM-based deep studying mannequin. The mannequin is designed to course of historic site visitors knowledge and predict congestion possibilities. Utilizing the educated mannequin, we will predict the chance of congestion for a given cell.

Code Implementation

The execution code is given under :

import h3
import pandas as pd
import numpy as np
from datetime import datetime, timedelta
import random
import tensorflow as tf
from tensorflow.keras.layers import LSTM, Conv1D, Dense

# Create pattern GPS knowledge round San Francisco
center_lat, center_lng = 37.7749, -122.4194
num_rides = 1000
np.random.seed(42)  # For reproducibility

# Generate random coordinates round San Francisco
lats = np.random.regular(center_lat, 0.02, num_rides)
lngs = np.random.regular(center_lng, 0.02, num_rides)

# Generate timestamps for the previous week
start_time = datetime.now() - timedelta(days=7)
timestamps = [start_time + timedelta(minutes=random.randint(0, 10080)) for _ in range(num_rides)]
timestamp_strs = [ts.strftime('%Y-%m-%d %H:%M:%S') for ts in timestamps]

# Generate random velocity knowledge
speeds = np.random.uniform(5, 60, num_rides)  # Pace in km/h

# Create DataFrame
gps_data = pd.DataFrame({
    'lat': lats,
    'lng': lngs,
    'timestamp': timestamp_strs,
    'velocity': speeds
})

# Convert coordinates to H3 indexes (decision 10)
gps_data["h3"] = gps_data.apply(
    lambda row: h3.latlng_to_cell(row["lat"], row["lng"], 10), axis=1
)

# Convert timestamp string to datetime objects
gps_data["timestamp"] = pd.to_datetime(gps_data["timestamp"])

# Mixture velocity and rely per cell per 5-minute interval
agg_data = gps_data.groupby(["h3", pd.Grouper(key="timestamp", freq="5T")]).agg(
    avg_speed=("velocity", "imply"),
    vehicle_count=("h3", "rely")
).reset_index()

# Instance: Use a cell from our present dataset
sample_cell = gps_data["h3"].iloc[0]
neighbors = h3.grid_disk(sample_cell, 2)

def get_kring_features(cell, okay=2):
    neighbors = h3.grid_disk(cell, okay)
    return {f"neighbor_{i}": neighbor for i, neighbor in enumerate(neighbors)}

# Placeholder perform for characteristic extraction
def fetch_features(neighbors, agg_data):
    # In an actual implementation, this is able to fetch historic knowledge for the neighbors
    # That is only a simplified instance that returns random knowledge
    return np.random.rand(1, 6, len(neighbors))  # 1 pattern, 6 timesteps, options per neighbor

# Outline a skeleton mannequin structure
def create_model(input_shape):
    mannequin = tf.keras.Sequential([
        LSTM(64, return_sequences=True, input_shape=input_shape),
        LSTM(32),
        Dense(16, activation='relu'),
        Dense(1, activation='sigmoid')
    ])
    mannequin.compile(optimizer="adam", loss="binary_crossentropy", metrics=['accuracy'])
    return mannequin

# Prediction perform (would use a educated mannequin in apply)
def predict_congestion(cell, mannequin, agg_data):
    # Fetch neighbor cells
    neighbors = h3.grid_disk(cell, okay=2)
    # Get historic knowledge for neighbors
    options = fetch_features(neighbors, agg_data)
    # Predict
    return mannequin.predict(options)[0][0]

# Create a skeleton mannequin (not educated)
input_shape = (6, 19)  # 6 time steps, 19 options (for okay=2 neighbors)
mannequin = create_model(input_shape)

# Print details about what would occur in an actual prediction
print(f"Pattern cell: {sample_cell}")
print(f"Variety of neighboring cells (okay=2): {len(neighbors)}")
print("Mannequin abstract:")
mannequin.abstract()

# In apply, you'll practice the mannequin earlier than utilizing it for predictions
# This is able to simply present what a prediction name would appear to be:
congestion_prob = predict_congestion(sample_cell, mannequin, agg_data)
print(f"Congestion chance: {congestion_prob:.2%}")

# instance output- Congestion Chance: 49.09%

This instance demonstrates how H3 will be leveraged for spatial evaluation and site visitors prediction. By changing GPS knowledge into hexagonal grids, we will effectively analyze site visitors patterns, extract significant insights from neighboring areas, and use deep studying to foretell congestion in actual time. This method will be utilized to good metropolis planning, ride-sharing optimizations, and clever site visitors administration methods.

Catastrophe Response and Environmental Monitoring

Flood occasions signify some of the frequent pure disasters requiring instant response and useful resource allocation. H3 can considerably enhance flood response efforts by integrating numerous knowledge sources together with flood zone maps, inhabitants density, constructing infrastructure, and real-time water stage readings.

The next Python implementation demonstrates how to make use of H3 for flood threat evaluation by integrating flooded space knowledge with constructing infrastructure data:

import h3
import folium
import pandas as pd
import numpy as np
from folium.plugins import MarkerCluster

# Create pattern buildings dataset
np.random.seed(42)
num_buildings = 50

# Create buildings round San Francisco
center_lat, center_lng = 37.7749, -122.4194
building_types = ['residential', 'commercial', 'hospital', 'school', 'government']
building_weights = [0.6, 0.2, 0.1, 0.07, 0.03]  # Chance weights

# Generate constructing knowledge
buildings_df = pd.DataFrame({
    'lat': np.random.regular(center_lat, 0.005, num_buildings),
    'lng': np.random.regular(center_lng, 0.005, num_buildings),
    'sort': np.random.alternative(building_types, dimension=num_buildings, p=building_weights),
    'capability': np.random.randint(10, 1000, num_buildings)
})

# Add H3 index at decision 10
buildings_df['h3_index'] = buildings_df.apply(
    lambda row: h3.latlng_to_cell(row['lat'], row['lng'], 10),
    axis=1
)

# Create some flood cells (let's use some cells the place buildings are situated)
# Taking just a few cells the place buildings are situated to simulate a flood zone
flood_cells = set(buildings_df['h3_index'].pattern(10))

# Create a map centered on the common of our coordinates
center_lat = buildings_df['lat'].imply()
center_lng = buildings_df['lng'].imply()
flood_map = folium.Map(location=[center_lat, center_lng], zoom_start=16)

# Perform to get hexagon boundaries for folium
def get_hexagon_bounds(h3_address):
    boundaries = h3.cell_to_boundary(h3_address)
    # Folium expects coordinates in [lat, lng] format
    return [[lat, lng] for lat, lng in boundaries]

# Add flood zone cells
for cell in flood_cells:
    folium.Polygon(
        areas=get_hexagon_bounds(cell),
        colour="blue",
        fill=True,
        fill_opacity=0.4,
        weight=2,
        popup=f'Flood Cell: {cell}'
    ).add_to(flood_map)

# Add constructing markers
for idx, row in buildings_df.iterrows():
    # Set colour based mostly on if constructing is affected
    if row['h3_index'] in flood_cells:
        colour="crimson"
        icon = 'warning' if row['type'] in ['hospital', 'school'] else 'info-sign'
        prefix = 'glyphicon'
    else:
        colour="inexperienced"
        icon = 'house'
        prefix = 'glyphicon'
    
    # Create marker with popup exhibiting constructing particulars
    folium.Marker(
        location=[row['lat'], row['lng']],
        popup=f"Constructing Sort: {row['type']}
Capability: {row['capacity']}", tooltip=f"{row['type']} (Capability: {row['capacity']})", icon=folium.Icon(colour=colour, icon=icon, prefix=prefix) ).add_to(flood_map) # Add a legend as an HTML component legend_html=""'

  Flood Affect Evaluation
  Flood Zone
  Secure Buildings
  Affected Buildings
  Essential Amenities

''' flood_map.get_root().html.add_child(folium.Component(legend_html)) # Show the map flood_map
Flood_Impact_Analysis; Spatial Indexing

This code gives an environment friendly technique for visualizing and analyzing flood impacts utilizing H3 spatial indexing and Folium mapping. By integrating spatial knowledge clustering and interactive visualization, it enhances catastrophe response planning and concrete threat administration methods. This method will be prolonged to different geospatial challenges, equivalent to wildfire threat evaluation or transportation planning.

Strengths and Weaknesses of H3

The next desk gives an in depth evaluation of H3’s benefits and limitations based mostly on business implementations and technical evaluations:

Facet Strengths Weaknesses
Geometry Properties Hexagonal cells present uniform distance metrics with equidistant neighbors.      Higher approximation of circles than sq./rectangular grids.  Minimizes each space and form distortion globally Can not utterly divide Earth into hexagons, requires 12 pentagon cells that create irregular adjacency patterns. Not a real equal-area system, regardless of aiming for “roughly equal-ish” areas
Hierarchical Construction Effectively adjustments precision (decision) ranges as wanted. Compact 64-bit addresses for all resolutions- Mum or dad-child tree with no shared dad and mom. Hierarchical nesting between resolutions isn’t excellent. Tiny discontinuities (gaps/overlaps) can happen at adjoining scales. Problematic to be used circumstances requiring actual containment (e.g., parcel knowledge)
Efficiency H3-centric approaches will be as much as 90x inexpensive than geometry-centric operations. Considerably enhances processing effectivity with massive dataset. Quick calculations between predictable cells in grid system Processing massive areas at excessive resolutions requires important computational sources. Commerce-off between precision and efficiency – larger resolutions devour extra sources.
Spatial Evaluation Multi-resolution evaluation from neighborhood to regional scales. Standardized format for integrating heterogeneous knowledge sources. Uniform adjacency relationships simplify neighborhood searches Polygon protection is approximate with potential gaps at boundaries. Precision limitations depending on chosen decision stage. Particular dealing with required for polygon intersections
Implementation Easy API with built-in utilities (geofence polyfill, hexagon compaction, GeoJSON output)- Nicely-suited for parallelized execution. Cell IDs can be utilized as columns in commonplace SQL features. Dealing with pentagon cells requires specialised code. Adapting present workflows to H3 will be complicated. Information high quality dependencies have an effect on evaluation accuracy
Purposes Optimized for: geospatial analytics, mobility evaluation, logistics, supply providers, telecoms, insurance coverage threat evaluation, and environmental monitoring. Much less appropriate for functions requiring actual boundary definitions. Is probably not optimum for specialised cartographic functions. Can contain computational complexity for real-time functions with restricted sources.

Conclusion

Uber’s H3 spatial indexing system is a robust device for geospatial evaluation, providing a hexagonal grid construction that permits environment friendly spatial queries, multi-resolution evaluation, and seamless integration with fashionable knowledge workflows. Its strengths lie in its uniform geometry, hierarchical design, and talent to deal with large-scale datasets with velocity and precision. From ride-sharing optimization to catastrophe response and environmental monitoring, H3 has confirmed its versatility throughout industries.

Nonetheless, like all know-how, H3 has limitations, equivalent to dealing with pentagon cells, approximating polygon boundaries, and computational calls for at excessive resolutions. By understanding its strengths and weaknesses, builders can leverage H3 successfully for functions requiring scalable and correct geospatial insights.

As geospatial know-how evolves, H3’s open-source ecosystem will possible see additional enhancements, together with integration with machine studying fashions, real-time analytics, and 3D spatial indexing. H3 is not only a device however a basis for constructing smarter geospatial options in an more and more data-driven world.

Incessantly Requested Questions

Q1. The place can I study extra about utilizing H3?

A. Go to the official H3 documentation or discover open-source examples on GitHub. Uber’s engineering weblog additionally gives insights into real-world functions of H3.

Q2. Is H3 appropriate for real-time functions?

A. Sure! With its quick indexing and neighbor lookup capabilities, H3 is very environment friendly for real-time geospatial functions like reside site visitors monitoring or catastrophe response coordination.

Q3. Can I exploit H3 with machine studying fashions?

A. Sure! H3 is well-suited for machine studying functions. By changing uncooked GPS knowledge into hexagonal options (e.g., site visitors density per cell), you possibly can combine spatial patterns into predictive fashions like demand forecasting or congestion prediction.

This autumn. What programming languages are supported by H3?

A. The core H3 library is written in C however has bindings for Python, JavaScript, Go, Java, and extra. This makes it versatile for integration into numerous geospatial workflows.

Q5. How does H3 deal with your entire globe with hexagons?

A. Whereas it’s not possible to tile a sphere completely with hexagons, H3 introduces 12 pentagon cells at every decision to shut gaps. To attenuate their impression on most datasets, the system strategically locations these pentagons over oceans or much less important areas.

The media proven on this article just isn’t owned by Analytics Vidhya and is used on the Creator’s discretion.


Kabyik Kayal

Hello there! I’m Kabyik Kayal, a 20 yr outdated man from Kolkata. I am obsessed with Information Science, Internet Growth, and exploring new concepts. My journey has taken me via 3 totally different faculties in West Bengal and at present at IIT Madras, the place I developed a powerful basis in Drawback-Fixing, Information Science and Pc Science and constantly enhancing. I am additionally fascinated by Images, Gaming, Music, Astronomy and studying totally different languages. I am all the time wanting to study and develop, and I am excited to share a little bit of my world with you right here. Be at liberty to discover! And if you’re having downside along with your knowledge associated duties, do not hesitate to attach

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