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July 18, 2023 15:30
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Road map route finder using Dijkstra's algorithm and Blender
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import bpy | |
import random | |
import math | |
import collections | |
import json | |
import queue | |
westernmost_longitude = -130 | |
def distance(a, b): | |
ax, ay = a | |
bx, by = b | |
return math.sqrt((ax - bx)**2 + (ay - by)**2) | |
indices = {} | |
reverse_indices = {} | |
coords = [] | |
edges = [] | |
# https://hub.arcgis.com/datasets/esri::usa-freeway-system/explore?layer=1 | |
with open('USA_Freeway_System.json') as f: | |
data = json.load(f) | |
for feature in data['features']: | |
feature_lines = [] | |
if feature['geometry']['type'] == 'LineString': | |
feature_lines = [feature['geometry']['coordinates']] | |
elif feature['geometry']['type'] == 'MultiLineString': | |
feature_lines = feature['geometry']['coordinates'] | |
for line in feature_lines: | |
for [x, y] in line: | |
# ignore alaska and hawaii | |
if x > westernmost_longitude: | |
indices[(x, y)] = len(coords) | |
reverse_indices[len(coords)] = (x, y) | |
coords.append((x, y)) | |
for a, b in zip(line, line[1:]): | |
ax, ay = a | |
bx, by = b | |
if ax > westernmost_longitude and bx > westernmost_longitude: | |
edges.append((indices[tuple(a)], indices[tuple(b)])) | |
print('num coords:', len(coords)) | |
start = (-118.226138727415, 34.0285571022828) | |
end = (-67.7811927273625, 46.1339890992705) | |
neighbors = collections.defaultdict(set) | |
for a, b in edges: | |
neighbors[reverse_indices[a]].add(reverse_indices[b]) | |
neighbors[reverse_indices[b]].add(reverse_indices[a]) | |
# dijkstra's algorithm | |
dist = {} | |
prev = {} | |
remaining = queue.PriorityQueue() | |
for coord in coords: | |
dist[coord] = math.inf | |
prev[coord] = None | |
dist[start] = 0 | |
remaining.put((dist[start], start)) | |
while not remaining.empty(): | |
_, u = remaining.get(False) | |
if u == end: | |
break | |
for v in neighbors[u]: | |
alt = dist[u] + distance(u, v) | |
if alt < dist[v]: | |
dist[v] = alt | |
prev[v] = u | |
remaining.put((alt, v)) | |
s = [] | |
u = end | |
while prev[u]: | |
if u == start: | |
break | |
s = [u] + s | |
u = prev[u] | |
# [coord] -> [edge] | |
print('path length:', len(s)) | |
pathedges = [] | |
for a, b in zip(s, s[1:]): | |
pathedges.append((indices[a], indices[b])) | |
def generate_mesh(name, edges): | |
mesh = bpy.data.meshes.new(name + "mesh") | |
obj = bpy.data.objects.new(name, mesh) | |
mesh.from_pydata([(x, y, 0) for (x, y) in coords], edges, []) | |
mesh.update() | |
bpy.context.collection.objects.link(obj) | |
generate_mesh('basemap', edges) | |
generate_mesh('path', pathedges) |
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