{ "cells": [ { "cell_type": "markdown", "id": "d5ef2198", "metadata": {}, "source": [ "# A phantom microstructure\n", "\n", "To test indexing we need a sample whose answer we know, and one that looks like the materials Anri is for.\n", "`anri.phantom.polycrystal` makes a 2D slice of a polycrystal with the features that make real maps hard:\n", "\n", "- **grains** with random orientations, from a Voronoi tessellation;\n", "- **cells** of about 1.5 µm inside them (dislocation or solidification cells), each turned from its grain by a few tenths of a degree;\n", "- **annealing twins**: lamellae with sharp boundaries, turned 60° about the grain's ⟨111⟩ (the Σ3 twin of FCC metals).\n", "\n", "Orientations are piecewise constant on a grid finer than the scan step, so one scan voxel can hold several cells, or a parent and its twin.\n", "\n", "Here we make a 316L-like stainless steel phantom (FCC, *a* = 3.5966 Å), turn it into an ImageD11 `TensorMap`, look at it, and save it to `tests/data`, where the tests and the [indexing tutorial](indexing.ipynb) use it.\n", "\n", "This notebook is stored with its outputs and is not re-run when the docs are built." ] }, { "cell_type": "code", "execution_count": 1, "id": "85a9e0b1", "metadata": { "execution": { "iopub.execute_input": "2026-10-04T23:28:50.523751Z", "iopub.status.busy": "2026-10-04T23:28:50.523634Z", "iopub.status.idle": "2026-10-04T23:28:51.109902Z", "shell.execute_reply": "2026-10-04T23:28:51.109305Z" } }, "outputs": [], "source": [ "import anri.utils\n", "\n", "anri.utils.setup() # before any JAX computation\n", "\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "import anri.crystal\n", "import anri.io\n", "import anri.phantom" ] }, { "cell_type": "markdown", "id": "56719cba", "metadata": {}, "source": [ "## The microstructure\n", "\n", "A disk of radius 25 µm on a grid of 0.5 µm voxels (103 × 103), with 40 grains, cells of about 1.5 µm misoriented by 0.3° (standard deviation of each component of the rotation vector), and twin lamellae 2 µm thick every 5 µm in the largest grain." ] }, { "cell_type": "code", "execution_count": 2, "id": "cf4b1510", "metadata": { "execution": { "iopub.execute_input": "2026-10-04T23:28:51.111368Z", "iopub.status.busy": "2026-10-04T23:28:51.111201Z", "iopub.status.idle": "2026-10-04T23:28:51.523678Z", "shell.execute_reply": "2026-10-04T23:28:51.523191Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7845 voxels in the disk, 38 grains, 721 cells, 253 twin voxels\n" ] } ], "source": [ "ph = anri.phantom.polycrystal(n=103, step=0.5, radius=25.0, n_grains=40, cell_size=1.5, cell_spread_deg=0.3,\n", " twin_grains=1, twin_axis=(1, 1, 1), twin_angle_deg=60.0, twin_period=5.0,\n", " twin_thickness=2.0, seed=0)\n", "inside = ph[\"inside\"]\n", "print(f\"{inside.sum()} voxels in the disk, {len(np.unique(ph['grain'][inside]))} grains, \"\n", " f\"{len(np.unique(ph['cell'][inside]))} cells, {ph['twin'].sum()} twin voxels\")" ] }, { "cell_type": "markdown", "id": "5cf9f7c6", "metadata": {}, "source": [ "## Symmetry and misorientations\n", "\n", "`anri.crystal.laue_rotations` gives the 24 proper rotations of the cubic Laue group, as Cartesian matrices in the crystal frame: `U` and `U S` give the same reflections.\n", "Misorientations are taken over them with `anri.crystal.disorientation`.\n", "\n", "Each cell is a small rotation away from its grain, and each twin is 60° away from its parent: let's check." ] }, { "cell_type": "code", "execution_count": 3, "id": "f8775c0b", "metadata": { "execution": { "iopub.execute_input": "2026-10-04T23:28:51.524761Z", "iopub.status.busy": "2026-10-04T23:28:51.524659Z", "iopub.status.idle": "2026-10-04T23:28:51.984234Z", "shell.execute_reply": "2026-10-04T23:28:51.983783Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "24 Laue-group rotations\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = 3.5966\n", "B = anri.crystal.B_matrix([a, a, a, 90.0, 90.0, 90.0])\n", "ops = anri.crystal.laue_rotations(anri.crystal.symmetry_matrices(225), B)\n", "print(f\"{len(ops)} Laue-group rotations\")\n", "\n", "U = ph[\"U\"].reshape(-1, 3, 3)\n", "grain, twin = ph[\"grain\"].ravel(), ph[\"twin\"].ravel()\n", "# each grain's mean orientation, from its non-twin voxels (cells are within a degree, so a plain mean works)\n", "mean_U = {}\n", "for g in np.unique(grain[grain >= 0]):\n", " u, _, vt = np.linalg.svd(U[(grain == g) & ~twin].mean(0))\n", " mean_U[g] = u @ vt\n", "mis = np.full(len(U), np.nan)\n", "ins = inside.ravel()\n", "mis[ins] = anri.crystal.disorientation(U[ins], np.stack([mean_U[g] for g in grain[ins]]), ops)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(11, 3.5), layout=\"constrained\")\n", "ax[0].hist(mis[ins & ~twin], bins=60, color=\"tab:blue\")\n", "ax[0].set_xlabel(\"misorientation of a voxel from its grain's mean (°)\")\n", "ax[0].set_ylabel(\"voxels\")\n", "ax[0].set_title(\"cells\")\n", "ax[1].hist(mis[twin], bins=60, color=\"tab:red\")\n", "ax[1].set_xlabel(\"misorientation of a twin voxel from its parent grain (°)\")\n", "ax[1].set_title(\"twins\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "73f4f9aa", "metadata": {}, "source": [ "## As a TensorMap\n", "\n", "`anri.io.tensormap_from_recon` takes maps in reconstruction order and builds an ImageD11 `TensorMap`, so the phantom can be viewed and used like any map ImageD11 makes.\n", "Next to the `UBI` and the phase, we store the grain (`labels`), cell and twin maps." ] }, { "cell_type": "code", "execution_count": 4, "id": "7c5bad41", "metadata": { "execution": { "iopub.execute_input": "2026-10-04T23:28:51.985568Z", "iopub.status.busy": "2026-10-04T23:28:51.985378Z", "iopub.status.idle": "2026-10-04T23:28:54.902603Z", "shell.execute_reply": "2026-10-04T23:28:54.902151Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 103, 103) [0.5, 0.5, 0.5] {0: 316L | [ 3.5966 3.5966 3.5966 90. 90. 90. ] | 225}\n" ] } ], "source": [ "UBI = np.where(inside[..., None, None], np.linalg.inv(ph[\"U\"] @ B), np.nan)\n", "maps = {\"UBI\": UBI, \"phase_ids\": np.where(inside, 0, -1), \"labels\": ph[\"grain\"], \"cell\": ph[\"cell\"],\n", " \"twin\": ph[\"twin\"].astype(np.int8), \"misorientation\": mis.reshape(inside.shape)}\n", "tmap = anri.io.tensormap_from_recon(maps, [a, a, a, 90.0, 90.0, 90.0], 225, \"316L\", 0.5)\n", "for name in (\"B\", \"U\", \"UB\", \"mt\", \"unitcell\", \"euler\"):\n", " getattr(tmap, name) # ImageD11's derived maps, computed from UBI and kept in the maps\n", "tmap.get_ipf_maps()\n", "print(tmap.shape, tmap.steps, tmap.phases)" ] }, { "cell_type": "code", "execution_count": 5, "id": "13f77a21", "metadata": { "execution": { "iopub.execute_input": "2026-10-04T23:28:54.904012Z", "iopub.status.busy": "2026-10-04T23:28:54.903721Z", "iopub.status.idle": "2026-10-04T23:28:55.034431Z", "shell.execute_reply": "2026-10-04T23:28:55.034035Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.default_rng(1)\n", "colours = rng.uniform(0.2, 1.0, (tmap.labels.max() + 1, 3))\n", "labels = tmap.labels[0]\n", "grain_rgb = np.where(labels[..., None] >= 0, colours[np.maximum(labels, 0)], 1.0)\n", "\n", "fig, ax = plt.subplots(1, 4, figsize=(16, 4.4), layout=\"constrained\")\n", "ax[0].imshow(grain_rgb, origin=\"lower\")\n", "ax[0].set_title(\"grains\")\n", "ax[1].imshow(np.where(labels[..., None] >= 0, tmap.ipf_z[0], 1.0), origin=\"lower\")\n", "ax[1].set_title(\"IPF-Z\")\n", "im = ax[2].imshow(np.where(tmap.twin[0] == 1, np.nan, tmap.misorientation[0]), origin=\"lower\", cmap=\"viridis\", vmax=1.5)\n", "ax[2].set_title(\"cells: misorientation from the grain (°)\")\n", "fig.colorbar(im, ax=ax[2], shrink=0.8)\n", "ax[3].imshow(np.where(labels[..., None] >= 0, 0.85, 1.0) * np.ones(3), origin=\"lower\")\n", "ax[3].imshow(np.ma.masked_where(tmap.twin[0] == 0, tmap.twin[0]), origin=\"lower\", cmap=\"autumn\", vmin=0, vmax=1)\n", "ax[3].set_title(\"twin lamellae\")\n", "for a_ in ax:\n", " a_.set_xticks([]), a_.set_yticks([])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "51d7206b", "metadata": {}, "source": [ "## Save it\n", "\n", "The phantom is saved where the tests and the other notebooks find it." ] }, { "cell_type": "code", "execution_count": 6, "id": "8825efaf", "metadata": { "execution": { "iopub.execute_input": "2026-10-04T23:28:55.035681Z", "iopub.status.busy": "2026-10-04T23:28:55.035578Z", "iopub.status.idle": "2026-10-04T23:28:55.086061Z", "shell.execute_reply": "2026-10-04T23:28:55.085650Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "../../../tests/data/phantoms/am316l/am316l_tmap.h5: 1.0 MB\n" ] } ], "source": [ "import os\n", "\n", "out = os.path.join(\"..\", \"..\", \"..\", \"tests\", \"data\", \"phantoms\", \"am316l\", \"am316l_tmap.h5\")\n", "if os.path.exists(out):\n", " os.remove(out)\n", "tmap.to_h5(out)\n", "print(f\"{out}: {os.path.getsize(out) / 1e6:.1f} MB\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.14.7" }, "nbsphinx": { "execute": "never" } }, "nbformat": 4, "nbformat_minor": 5 }