{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Mesh visualisation\n", "\n", "We are now going to have a look at different mesh visualisation options. We are going to use the following mesh:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import discretisedfield as df\n", "\n", "p1 = (0, 0, 0)\n", "p2 = (100e-9, 50e-9, 20e-9)\n", "n = (20, 10, 4)\n", "\n", "region = df.Region(p1=p1, p2=p2)\n", "mesh = df.Mesh(region=region, n=n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Same as the region object, there are two main ways how we can visualise mesh in `discretisedfield`:\n", "\n", "1. Using `matplotlib` (static 2D plots, usually with some tricks to make them look 3D)\n", "2. Using `k3d` (interactive 3D plots)\n", "\n", "All `matplotlib` method names start with `mpl`, whereas all `k3d` plots start with `k3d`. We will first have a look at simple plotting using both `matplotlib` and `k3d` and later look at how we can pass different parameters to change them.\n", "\n", "## Basic plotting\n", "\n", "To get a quick `matploltlib` \"3D\" plot of the mesh, we call `mpl`:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`mpl` plots two cubic regions. The larger one corresponds to the region and the smaller one to the discretisation cell. Without passing any parameters to `mpl` function, some default settings are chosen. We can see that `matplotlib` is not good in showing the right proportions of the region. More precisely, we know that the region is much thinner in the z-direction, but that is not the impression we get from the plot. This is the main disadvatage of `mpl`.\n", "\n", "Now, we can ask our region object for an interactive `k3d` plot:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cc31622efbb747de921dc5da6894cd0f", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.k3d()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similar to the `mpl` plot, we can see the region as well as the discretisation cell in this plot. This can be useful to get an impression of the discretisation cell size with respect to the region we discretise. `k3d` plot is an interactive plot, which we can zoom, rotate, etc. In addition, a small contol panel is shown in the top-right corner, where we can modify some of the plot's properties." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advanced plotting\n", "\n", "Here we explore what parameters we can pass to `mpl` and `k3d` functions. Let us start with `mpl`.\n", "\n", "### `mpl`\n", "\n", "The default plot is:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to change the figure size, we can pass `figsize` parameter. Its value must be a lenth-2 tuple, with the first element being the size in the horizontal direction, whereas the second element is the size in the vertical direction." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "region.mpl(figsize=(10, 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The color of the lines depicting the region and the discretisation cell we can choose by passing `color` argument. `color` must be a lenght-2 tuple which consists of valid `matplotlib` colours. For instance, it can be a pair of RGB hex-strings ([online converter](http://www.javascripter.net/faq/rgbtohex.htm)). The first element is `color` is the colour of the region, whereas the second element is the colour of the discretisation cell." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl(color=(\"#9400D3\", \"#0000FF\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`discretisedfield` automatically chooses the SI prefix (nano, micro, etc.) it is going to use to divide the axes with and show those units on the axes. Sometimes (e.g. for thin films), `discretisedfield` does not choose the SI prefix we expected. In those cases, we can explicitly pass it using `multiplier` argument. ``multiplier`` can be passed as $10^{n}$, where $n$ is a multiple of 3 (..., -6, -3, 0, 3, 6,...). For instance, if `multiplier=1e-6` is passed, all axes will be divided by $1\\,\\mu\\text{m}$ and $\\mu\\text{m}$ units will be used as axis labels." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl(multiplier=1e-6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to save the plot, we pass `filename`, mesh plot is going to be shown and the plot saved in our working directory as a PDF." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl(filename=\"my-mesh-plot.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`mpl` mesh plot is based on [`matplotlib.pyplot.plot` function](https://matplotlib.org/3.2.1/api/_as_gen/matplotlib.pyplot.plot.html). Therefore, any parameter accepted by it can be passed. For instance:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl(marker=\"o\", linestyle=\"dashed\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we show how to expose the axes on which the mesh is plotted, so that we can customise them. We do that by creating the axes ourselves and then passing them to `mpl` function." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'height')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Create the axes\n", "fig = plt.figure(figsize=(8, 5))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "\n", "# Add the region to the axes\n", "mesh.mpl(ax=ax)\n", "\n", "# Customise the axes\n", "ax.set_xlabel(\"length\")\n", "ax.set_ylabel(\"width\")\n", "ax.set_zlabel(\"height\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This way, by exposing the axes and passing any allowed `matplotlib.pyplot.plot` argument, we can customise the plot any way we like (as long as it is allowed by `matplotlib`).\n", "\n", "### `k3d`\n", "\n", "Default k3d plot is:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "582032167b3e4a0d9cf478441830992e", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.k3d()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to change the color, we can pass `color` argument. It is a length-2 tuple of integer colours. The first number in the tuple is the colour of the region, whereas the second colour is the colour of the discretisation cell." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "c553e30714d043adb68d07b231643107", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.k3d(color=(754321, 123456))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similar to the `mpl` plot, we can change the axes multiplier." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "bdb4c8f596604ed393df97e7351b7d1f", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.k3d(multiplier=1e-6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`k3d` plot is based on [k3d.voxels](https://k3d-jupyter.org/k3d.html#k3d.factory.voxels), so any parameter accepted by it can be passed. For instance:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d7f5a94070db4ef9aa14d18341885b76", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.k3d(opacity=0.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also expose `k3d.Plot` object and customise it." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d0744d500e8e4753a39b9f4b77048b68", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import k3d\n", "\n", "# Expose plot object\n", "plot = k3d.plot()\n", "plot.display()\n", "\n", "# Add region to the plot\n", "mesh.k3d(plot=plot)\n", "\n", "# Customise the plot\n", "plot.axes = [r\"\\text{length}\", r\"\\text{width}\", r\"\\text{height}\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This way, we can modify the plot however we want (as long as `k3d` allows it)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "043f2c94646049539c6a1a8f5acf7a8d": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "079e2d000a6846e1b6d32e6f54a1ce31": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", 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