{ "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": "rp", "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": "3.12.1" } }, "nbformat": 4, "nbformat_minor": 2 }