{ "cells": [ { "cell_type": "code", "execution_count": 4, "id": "59981fce", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "from road_gen.integrator.integrator import integrate_road\n", "from road_gen.plotting.plot_road import plot_road" ] }, { "cell_type": "markdown", "id": "1a063d05", "metadata": {}, "source": [ "# Random roads using white noise\n", "\n", "Let's populate the discrete curvature field $\\{\\kappa_0, \\kappa_1 ... \\kappa_{N-1}\\}$ with random samples\n", "\n", "$$\n", "\\kappa_i \\sim \\mathcal{N}(0, 1), \\quad \\text{for } i = 0, 1, \\ldots, N-1,\n", "$$\n", "\n", "where \\(N\\) is the number of waypoints along the road. Let's see an example:" ] }, { "cell_type": "code", "execution_count": 144, "id": "7e9fc71b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "white_noise_curvature = np.random.randn(1000)\n", "x, y = integrate_road(white_noise_curvature)\n", "plot_road(x, y)" ] }, { "cell_type": "markdown", "id": "e9757efe", "metadata": {}, "source": [ "#### Clipping\n", "\n", "Of course no real road looks like this! But one thing we can do is to define a new hyperparameter $\\kappa_{max} \\equiv 1/R_{min}$ where $R_{min}$ is the minimum radius of the curvature. Just like a real turn in the road it can't be too sharp or cars cannot take the turn. Let's say we want a minimum of $25$ meters of turning radius. We clip all turns which are too sharp:" ] }, { "cell_type": "code", "execution_count": 145, "id": "62b5daaa", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kappa_max = 1 / 25\n", "clipped_wn_curvature = np.clip(white_noise_curvature, -kappa_max, kappa_max)\n", "x, y = integrate_road(clipped_wn_curvature)\n", "plot_road(x, y)" ] }, { "cell_type": "markdown", "id": "94666d02", "metadata": {}, "source": [ "#### Smoothing\n", "\n", "That looks a lot better, but there is still some jaggedness. We can apply smoothing through a moving average, which intuitively also makes sense as roads are highly autocorrelated. Let's smooth:" ] }, { "cell_type": "code", "execution_count": 146, "id": "cf2a1988", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clipped_wn_curvature = np.clip(white_noise_curvature, -kappa_max, kappa_max)\n", "\n", "window_size = int(len(clipped_wn_curvature) / 2) # 50% of the road length as smoothing\n", "window = np.ones(window_size) / window_size\n", "smooth_clipped_wn_curvature = np.convolve(clipped_wn_curvature, window, mode='same')\n", "\n", "x, y = integrate_road(smooth_clipped_wn_curvature)\n", "plot_road(x, y)" ] }, { "cell_type": "markdown", "id": "69a644c7", "metadata": {}, "source": [ "#### Adding random straight segments\n", "\n", "It kind of looks like a road segment now, but maybe a bit *too* smooth. Real roads also have perfectly straight sections as that is simply cheaper and more efficient. Let's define two hyperparameters to add random straight sections:\n", "\n", "- `straight_section_prob`: The probability that at step $i$, a straight section will start at step $i+1$.\n", "- `straight_section_max_rel_size`: The maximum size the straight section is allowed to be, relative to total number of points." ] }, { "cell_type": "code", "execution_count": null, "id": "a79341eb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "curvature = smooth_clipped_wn_curvature.copy()\n", "num_points = len(curvature)\n", "\n", "straight_section_prob = 0.1\n", "straight_section_max_rel_size = 0.3\n", "\n", "i = 0\n", "while i < num_points:\n", " if np.random.rand() < straight_section_prob:\n", " # Random straight segment length\n", " max_len = int(num_points * straight_section_max_rel_size)\n", " seg_len = np.random.randint(1, max_len + 1)\n", " curvature[i:i+seg_len] = 0 # set curvature to zero for straight\n", " i += seg_len # skip over straight segment\n", " else:\n", " i += 1\n", " \n", "x, y = integrate_road(curvature)\n", "plot_road(x, y)" ] }, { "cell_type": "markdown", "id": "91a3346b", "metadata": {}, "source": [ "#### A few more examples\n", "\n", "The road now has random straight sections that looks more like a road that might be built; somewhat realistic possible curves, restricted by a minimum turning radius, straight sections, but because it is based on random $\\kappa_i$ there can be a large variability between road segments:" ] }, { "cell_type": "code", "execution_count": 143, "id": "aa4fee68", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kappa_max = 1 / 25\n", "num_points = 1000\n", "straight_section_prob = 0.05\n", "straight_section_max_rel_size = 0.1\n", "\n", "# Create a 4x4 grid of subplots\n", "fig, axes = plt.subplots(4, 4, figsize=(16, 16))\n", "\n", "for ax in axes.flat:\n", " curvature = np.random.randn(num_points)\n", " clipped_curvature = np.clip(curvature, -kappa_max, kappa_max)\n", " window_size = int(len(clipped_curvature) / 2) # 50% of the road length as smoothing\n", " window = np.ones(window_size) / window_size\n", " smoothed_clipped_curvature = np.convolve(clipped_curvature, window, mode='same')\n", "\n", " i = 0\n", " while i < num_points:\n", " if np.random.rand() < straight_section_prob:\n", " max_len = int(num_points * straight_section_max_rel_size)\n", " seg_len = np.random.randint(1, max_len + 1)\n", " smoothed_clipped_curvature[i:i+seg_len] = 0\n", " i += seg_len\n", " else:\n", " i += 1\n", " x, y = integrate_road(smoothed_clipped_curvature)\n", " ax.plot(x, y, linewidth=3)" ] }, { "cell_type": "markdown", "id": "f0f41c5e", "metadata": {}, "source": [ "We now can randomly generate discrete planar curves that (kind of) look like real roads." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }