|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "metadata": {}, |
| 6 | + "source": [ |
| 7 | + "# Sieve Filter: Removing Small Raster Clumps\n", |
| 8 | + "\n", |
| 9 | + "Classification outputs often contain salt-and-pepper noise: tiny clumps of 1-3 pixels that don't represent real features. The `sieve` function removes these by replacing connected regions smaller than a given threshold with the value of their largest spatial neighbor.\n", |
| 10 | + "\n", |
| 11 | + "This is the xarray-spatial equivalent of GDAL's `gdal_sieve.py`, and it pairs naturally with classification functions like `natural_breaks()` or `reclassify()` and with `polygonize()` for cleaning results before vectorization." |
| 12 | + ] |
| 13 | + }, |
| 14 | + { |
| 15 | + "cell_type": "code", |
| 16 | + "execution_count": null, |
| 17 | + "metadata": {}, |
| 18 | + "outputs": [], |
| 19 | + "source": [ |
| 20 | + "import numpy as np\n", |
| 21 | + "import xarray as xr\n", |
| 22 | + "import matplotlib.pyplot as plt\n", |
| 23 | + "from matplotlib.colors import ListedColormap\n", |
| 24 | + "\n", |
| 25 | + "from xrspatial.sieve import sieve\n", |
| 26 | + "from xrspatial.classify import natural_breaks" |
| 27 | + ] |
| 28 | + }, |
| 29 | + { |
| 30 | + "cell_type": "markdown", |
| 31 | + "metadata": {}, |
| 32 | + "source": [ |
| 33 | + "## Generate a Noisy Classified Raster\n", |
| 34 | + "\n", |
| 35 | + "We'll create a synthetic classified raster with three land-cover classes and scatter some salt-and-pepper noise across it." |
| 36 | + ] |
| 37 | + }, |
| 38 | + { |
| 39 | + "cell_type": "code", |
| 40 | + "execution_count": null, |
| 41 | + "metadata": {}, |
| 42 | + "outputs": [], |
| 43 | + "source": [ |
| 44 | + "np.random.seed(42)\n", |
| 45 | + "rows, cols = 80, 100\n", |
| 46 | + "\n", |
| 47 | + "# Build a base classification with three broad zones\n", |
| 48 | + "base = np.ones((rows, cols), dtype=np.float64)\n", |
| 49 | + "base[:, 40:70] = 2.0\n", |
| 50 | + "base[30:60, :] = 3.0\n", |
| 51 | + "base[30:60, 40:70] = 2.0\n", |
| 52 | + "\n", |
| 53 | + "# Add salt-and-pepper noise: randomly flip ~8% of pixels\n", |
| 54 | + "noise_mask = np.random.random((rows, cols)) < 0.08\n", |
| 55 | + "noise_vals = np.random.choice([1.0, 2.0, 3.0], size=(rows, cols))\n", |
| 56 | + "noisy = base.copy()\n", |
| 57 | + "noisy[noise_mask] = noise_vals[noise_mask]\n", |
| 58 | + "\n", |
| 59 | + "# Sprinkle some NaN (nodata) pixels\n", |
| 60 | + "noisy[0:3, 0:3] = np.nan\n", |
| 61 | + "noisy[77:, 97:] = np.nan\n", |
| 62 | + "\n", |
| 63 | + "raster = xr.DataArray(noisy, dims=['y', 'x'], name='landcover')\n", |
| 64 | + "print(f'Raster shape: {raster.shape}')\n", |
| 65 | + "print(f'Unique values (excl. NaN): {np.unique(raster.values[~np.isnan(raster.values)])}')" |
| 66 | + ] |
| 67 | + }, |
| 68 | + { |
| 69 | + "cell_type": "code", |
| 70 | + "execution_count": null, |
| 71 | + "metadata": {}, |
| 72 | + "outputs": [], |
| 73 | + "source": [ |
| 74 | + "cmap = ListedColormap(['#2ecc71', '#3498db', '#e74c3c'])\n", |
| 75 | + "\n", |
| 76 | + "fig, ax = plt.subplots(figsize=(8, 5))\n", |
| 77 | + "im = ax.imshow(raster.values, cmap=cmap, vmin=0.5, vmax=3.5, interpolation='nearest')\n", |
| 78 | + "ax.set_title('Noisy classified raster')\n", |
| 79 | + "cbar = fig.colorbar(im, ax=ax, ticks=[1, 2, 3])\n", |
| 80 | + "cbar.ax.set_yticklabels(['Class 1', 'Class 2', 'Class 3'])\n", |
| 81 | + "plt.tight_layout()\n", |
| 82 | + "plt.show()" |
| 83 | + ] |
| 84 | + }, |
| 85 | + { |
| 86 | + "cell_type": "markdown", |
| 87 | + "metadata": {}, |
| 88 | + "source": [ |
| 89 | + "## Basic Sieve: Remove Single-Pixel Noise\n", |
| 90 | + "\n", |
| 91 | + "The simplest use case: set a threshold so isolated pixels are absorbed by their surroundings." |
| 92 | + ] |
| 93 | + }, |
| 94 | + { |
| 95 | + "cell_type": "code", |
| 96 | + "execution_count": null, |
| 97 | + "metadata": {}, |
| 98 | + "outputs": [], |
| 99 | + "source": [ |
| 100 | + "sieved = sieve(raster, threshold=4)\n", |
| 101 | + "\n", |
| 102 | + "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", |
| 103 | + "for ax, data, title in zip(axes, [raster, sieved], ['Before sieve', 'After sieve (threshold=4)']):\n", |
| 104 | + " im = ax.imshow(data.values, cmap=cmap, vmin=0.5, vmax=3.5, interpolation='nearest')\n", |
| 105 | + " ax.set_title(title)\n", |
| 106 | + "fig.colorbar(im, ax=axes, ticks=[1, 2, 3], shrink=0.8)\n", |
| 107 | + "plt.tight_layout()\n", |
| 108 | + "plt.show()" |
| 109 | + ] |
| 110 | + }, |
| 111 | + { |
| 112 | + "cell_type": "markdown", |
| 113 | + "metadata": {}, |
| 114 | + "source": [ |
| 115 | + "## Connectivity: 4 vs 8\n", |
| 116 | + "\n", |
| 117 | + "With 4-connectivity (rook), only pixels sharing an edge are considered connected. With 8-connectivity (queen), diagonally adjacent pixels also form part of the same region. This affects which clumps are identified as \"small.\"" |
| 118 | + ] |
| 119 | + }, |
| 120 | + { |
| 121 | + "cell_type": "code", |
| 122 | + "execution_count": null, |
| 123 | + "metadata": {}, |
| 124 | + "outputs": [], |
| 125 | + "source": [ |
| 126 | + "sieved_4 = sieve(raster, threshold=6, neighborhood=4)\n", |
| 127 | + "sieved_8 = sieve(raster, threshold=6, neighborhood=8)\n", |
| 128 | + "\n", |
| 129 | + "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n", |
| 130 | + "for ax, data, title in zip(\n", |
| 131 | + " axes,\n", |
| 132 | + " [raster, sieved_4, sieved_8],\n", |
| 133 | + " ['Original', '4-connectivity (threshold=6)', '8-connectivity (threshold=6)'],\n", |
| 134 | + "):\n", |
| 135 | + " im = ax.imshow(data.values, cmap=cmap, vmin=0.5, vmax=3.5, interpolation='nearest')\n", |
| 136 | + " ax.set_title(title)\n", |
| 137 | + "fig.colorbar(im, ax=axes, ticks=[1, 2, 3], shrink=0.8)\n", |
| 138 | + "plt.tight_layout()\n", |
| 139 | + "plt.show()" |
| 140 | + ] |
| 141 | + }, |
| 142 | + { |
| 143 | + "cell_type": "markdown", |
| 144 | + "metadata": {}, |
| 145 | + "source": [ |
| 146 | + "## Selective Sieving with `skip_values`\n", |
| 147 | + "\n", |
| 148 | + "Sometimes certain class values should never be removed, even if their regions are small. Use `skip_values` to protect specific categories from merging while still allowing other small regions to be cleaned up." |
| 149 | + ] |
| 150 | + }, |
| 151 | + { |
| 152 | + "cell_type": "code", |
| 153 | + "execution_count": null, |
| 154 | + "metadata": {}, |
| 155 | + "outputs": [], |
| 156 | + "source": [ |
| 157 | + "# Protect class 3 from sieving\n", |
| 158 | + "sieved_skip = sieve(raster, threshold=10, skip_values=[3.0])\n", |
| 159 | + "sieved_noskip = sieve(raster, threshold=10)\n", |
| 160 | + "\n", |
| 161 | + "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n", |
| 162 | + "for ax, data, title in zip(\n", |
| 163 | + " axes,\n", |
| 164 | + " [raster, sieved_noskip, sieved_skip],\n", |
| 165 | + " ['Original', 'threshold=10 (no skip)', 'threshold=10 (skip class 3)'],\n", |
| 166 | + "):\n", |
| 167 | + " im = ax.imshow(data.values, cmap=cmap, vmin=0.5, vmax=3.5, interpolation='nearest')\n", |
| 168 | + " ax.set_title(title)\n", |
| 169 | + "fig.colorbar(im, ax=axes, ticks=[1, 2, 3], shrink=0.8)\n", |
| 170 | + "plt.tight_layout()\n", |
| 171 | + "plt.show()" |
| 172 | + ] |
| 173 | + }, |
| 174 | + { |
| 175 | + "cell_type": "markdown", |
| 176 | + "metadata": {}, |
| 177 | + "source": [ |
| 178 | + "## Practical Example: Clean Up a Classification\n", |
| 179 | + "\n", |
| 180 | + "Generate a continuous surface, classify it with `natural_breaks`, and then sieve the result to remove small artifacts." |
| 181 | + ] |
| 182 | + }, |
| 183 | + { |
| 184 | + "cell_type": "code", |
| 185 | + "execution_count": null, |
| 186 | + "metadata": {}, |
| 187 | + "outputs": [], |
| 188 | + "source": [ |
| 189 | + "# Create a smooth surface with some high-frequency variation\n", |
| 190 | + "y = np.linspace(0, 4 * np.pi, rows)\n", |
| 191 | + "x = np.linspace(0, 4 * np.pi, cols)\n", |
| 192 | + "Y, X = np.meshgrid(y, x, indexing='ij')\n", |
| 193 | + "surface = np.sin(Y) * np.cos(X) + 0.4 * np.random.randn(rows, cols)\n", |
| 194 | + "\n", |
| 195 | + "surface_da = xr.DataArray(surface, dims=['y', 'x'])\n", |
| 196 | + "classified = natural_breaks(surface_da, k=5)\n", |
| 197 | + "\n", |
| 198 | + "# Sieve the classification\n", |
| 199 | + "cleaned = sieve(classified, threshold=8)\n", |
| 200 | + "\n", |
| 201 | + "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n", |
| 202 | + "axes[0].imshow(surface, cmap='terrain', interpolation='nearest')\n", |
| 203 | + "axes[0].set_title('Continuous surface')\n", |
| 204 | + "axes[1].imshow(classified.values, cmap='tab10', interpolation='nearest')\n", |
| 205 | + "axes[1].set_title('natural_breaks (k=5)')\n", |
| 206 | + "axes[2].imshow(cleaned.values, cmap='tab10', interpolation='nearest')\n", |
| 207 | + "axes[2].set_title('After sieve (threshold=8)')\n", |
| 208 | + "plt.tight_layout()\n", |
| 209 | + "plt.show()" |
| 210 | + ] |
| 211 | + }, |
| 212 | + { |
| 213 | + "cell_type": "markdown", |
| 214 | + "metadata": {}, |
| 215 | + "source": [ |
| 216 | + "## Threshold Selection\n", |
| 217 | + "\n", |
| 218 | + "The right threshold depends on pixel resolution and the minimum feature size you care about. Here's a comparison across threshold values." |
| 219 | + ] |
| 220 | + }, |
| 221 | + { |
| 222 | + "cell_type": "code", |
| 223 | + "execution_count": null, |
| 224 | + "metadata": {}, |
| 225 | + "outputs": [], |
| 226 | + "source": [ |
| 227 | + "thresholds = [2, 5, 15, 50]\n", |
| 228 | + "fig, axes = plt.subplots(1, len(thresholds), figsize=(5 * len(thresholds), 5))\n", |
| 229 | + "\n", |
| 230 | + "for ax, t in zip(axes, thresholds):\n", |
| 231 | + " result = sieve(classified, threshold=t)\n", |
| 232 | + " ax.imshow(result.values, cmap='tab10', interpolation='nearest')\n", |
| 233 | + " ax.set_title(f'threshold={t}')\n", |
| 234 | + "\n", |
| 235 | + "plt.suptitle('Effect of sieve threshold on classified raster', y=1.02)\n", |
| 236 | + "plt.tight_layout()\n", |
| 237 | + "plt.show()" |
| 238 | + ] |
| 239 | + } |
| 240 | + ], |
| 241 | + "metadata": { |
| 242 | + "kernelspec": { |
| 243 | + "display_name": "Python 3 (ipykernel)", |
| 244 | + "language": "python", |
| 245 | + "name": "python3" |
| 246 | + }, |
| 247 | + "language_info": { |
| 248 | + "codemirror_mode": { |
| 249 | + "name": "ipython", |
| 250 | + "version": 3 |
| 251 | + }, |
| 252 | + "file_extension": ".py", |
| 253 | + "mimetype": "text/x-python", |
| 254 | + "name": "python", |
| 255 | + "nbformat_minor": 4, |
| 256 | + "version": "3.11.0" |
| 257 | + } |
| 258 | + }, |
| 259 | + "nbformat": 4, |
| 260 | + "nbformat_minor": 4 |
| 261 | +} |
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