Created
August 4, 2025 13:42
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "id": "617d9adc", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from typing import Literal, Callable\n", | |
| "import shapely.geometry\n", | |
| "import geopandas as gpd\n", | |
| "import numpy as np\n", | |
| "\n", | |
| "maxc = 20037508.342789244\n", | |
| "sidelength: Callable[[int], float] = lambda z: 2 * maxc / (2**z)\n", | |
| "\n", | |
| "def get_ulx_uly_lrx_lry(\n", | |
| " z: int, x: int, y: int\n", | |
| ") -> tuple[\n", | |
| " float, float, float, float\n", | |
| "]: # upper left x, upper left y, lower right x, lower right y\n", | |
| "\n", | |
| " ulx = -maxc + sidelength(z) * x\n", | |
| " uly = maxc - sidelength(z) * y\n", | |
| "\n", | |
| " lrx = -maxc + sidelength(z) * (x + 1)\n", | |
| " lry = maxc - sidelength(z) * (y + 1)\n", | |
| "\n", | |
| " return ulx, uly, lrx, lry\n", | |
| "\n", | |
| "z,x,y = 11,1085,595\n", | |
| "\n", | |
| "pixelcount = 40\n", | |
| "ulx, uly, lrx, lry = get_ulx_uly_lrx_lry(z,x,y)\n", | |
| "\n", | |
| "s = shapely.geometry.box(ulx, uly, lrx, lry)\n", | |
| "gpd.GeoSeries(s).set_crs(3857).to_file(\"tile.geojson\")\n", | |
| "\n", | |
| "s = sidelength(z) / pixelcount\n", | |
| "\n", | |
| "pixels : list[shapely.geometry.Polygon] = []\n", | |
| "\n", | |
| "for col_index in range(pixelcount):\n", | |
| " for row_index in range(pixelcount):\n", | |
| " corners: list[np.ndarray[tuple[Literal[2]], np.dtype[np.float64]]] = []\n", | |
| " for each in [[1, 1], [1, -1], [-1, -1], [-1, 1], [1, 1]]:\n", | |
| " tc = np.array([ulx + s * col_index + s/2, uly - s * row_index - s / 2])\n", | |
| " v = 0.5 * np.array([each]) * np.array([s, s])\n", | |
| " [corner] = tc + v\n", | |
| " corners.append(corner)\n", | |
| " p = shapely.geometry.Polygon(corners)\n", | |
| " pixels.append(p)\n", | |
| "\n", | |
| "gpd.GeoSeries(pixels).set_crs(3857).to_file(\"pixels.gpkg\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "id": "226ba3e0", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "!open ." | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "venv (3.13.2)", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.13.2" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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