{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Mixing endmember spectra \n", "\n", "Author: Charles Le Losq\n", "\n", "This function allows one to mix two endmembers spectra, $ref1$ and $ref2$, to an observed one $obs$:\n", "\n", "$obs = ref1 * F1 + ref2 * (1-F1)$ .\n", "\n", "The calculation is done with performing least absolute regression, which presents advantages compared to least squares to fit problems with outliers as well as non-Gaussian character (see [wikipedia](https://en.wikipedia.org/wiki/Least_absolute_deviations) for instance)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import rampy as rp" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Problem setting\n", "\n", "We will setup a simple problem in which we mix two Gaussian peaks in different ratios. The code below is going to create those peaks, and to plot them for reference." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(0,100,1.0) # a dummy x axis\n", "ref1 = 50.0*np.exp(-1/2*((x-40)/20)**2) + np.random.randn(len(x)) # a gaussian with added noise\n", "ref2 = 70.0*np.exp(-1/2*((x-60)/15)**2) + np.random.randn(len(x)) # a gaussian with added noise\n", "plt.figure()\n", "plt.plot(x,ref1,label=\"ref1\")\n", "plt.plot(x,ref2,label=\"ref2\")\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Y\")\n", "plt.legend()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We now create 4 intermediate $obs$ signals, with $F1$ = 20%,40%,60% and 80% of ref1." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Observed signals')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F1_true = np.array([0.80,0.60,0.40,0.20])\n", "obs = np.dot(ref1.reshape(-1,1),F1_true.reshape(1,-1)) + np.dot(ref2.reshape(-1,1),(1-F1_true.reshape(1,-1)))\n", "plt.figure()\n", "plt.plot(x,obs)\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Y\")\n", "plt.title(\"Observed signals\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Resolutiuon with rampy.mixing_sp()\n", "\n", "Now we can use rp.mixing_sp() to retrieve $F1$.\n", "\n", "We suppose here that we have some knowledge of $ref1$ and $ref2$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F1_meas = rp.mixing_sp(obs,ref1,ref2)\n", "plt.figure()\n", "plt.plot(F1_true,F1_meas,'ro',label=\"Measurements\")\n", "plt.plot([0,1],[0,1],'k-',label=\"1:1 line\")\n", "plt.xlabel(\"True $F1$ value\")\n", "plt.ylabel(\"Determined $F1$ value\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "gpvisc", "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": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 2 }