{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Region visualisation\n", "\n", "It is sometimes useful to visualise the region we defined, either to make sure it is what we thought or to use it in more complex plots. In this tutorial, we show some basic as well as some more advanced ways of customising our plots.\n", "\n", "We are going to use the same region we used in the previous tutorial:\n", "\n", "$$p_{1} = (0, 0, 0)$$\n", "$$p_{2} = (l_{x}, l_{y}, l_{z})$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import discretisedfield as df # df is here chosen to be an alias for discretisedfield\n", "\n", "p1 = (0, 0, 0)\n", "p2 = (100e-9, 50e-9, 20e-9)\n", "\n", "region = df.Region(p1=p1, p2=p2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two main ways how we can visualise objects in `discretisedfield`:\n", "\n", "1. Using `matplotlib` (static 2D plots, usually with some tricks to make them look 3D)\n", "2. Using `pyvista` (interactive 3D plots)\n", "\n", "All `matplotlib` method names start with `mpl`, whereas all `pyvista` plots start with `pyvista`. We will first have a look at simple plotting using both `matplotlib` and `pyvista` 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 region, we call `mpl`:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "region.mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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 `pyvista` plot:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0f276adec8aa49eb872e8b0596546c03", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Widget(value=\"