{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Baseline removal and Centroid measurement\n", "\n", "Author: Charles Le Losq\n", "\n", "This notebook illustrates the use of the `rampy.centroid()` function to measure the centroid of a peak." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "np.random.seed(42) # fixing the seed\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import rampy as rp\n", "import scipy" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Problem definition\n", "\n", "The rampy.centroid function will calculate the centroid of the signal you provide to it.\n", "\n", "In this case, we have a combination of two Gaussian peaks with some noise. This example is that used in the Machine Learning Regression notebook.\n", "\n", "The example signals $D_{i,j}$ are generated from a linear combination of two Gaussian peaks $S_{k,j}$, and are affected by a constant background $\\epsilon_{i,j}$:\n", "\n", "$$ D_{i,j} = C_{i,k} \\times S_{k,j} + \\epsilon_{i,j}$$\n", "\n", "We thus will remove the background, then calculate the centroid, and plot it against $C_{i,k}$ which is known in the present case." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of samples:100\n", "Shape of partial spectra matrix:(2, 600)\n", "Shape of concentration matrix:(100, 2)\n" ] } ], "source": [ "x = np.arange(0,600,1.0)\n", "nb_samples = 100 # number of samples in our dataset\n", "\n", "# partial spectra\n", "S_1 = scipy.stats.norm.pdf(x,loc=300.,scale=40.)\n", "S_2 = scipy.stats.norm.pdf(x,loc=400,scale=20)\n", "S_true = np.vstack((S_1,S_2))\n", "print(\"Number of samples:\"+str(nb_samples))\n", "print(\"Shape of partial spectra matrix:\"+str(S_true.shape))\n", "\n", "# concentrations\n", "C_ = np.random.rand(nb_samples) #60 samples with random concentrations between 0 and 1\n", "C_true = np.vstack((C_,(1-C_))).T\n", "print(\"Shape of concentration matrix:\"+str(C_true.shape))\n", "\n", "# background\n", "E_ = 1e-8*x**2" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "true_sig = np.dot(C_true,S_true)\n", "Obs = np.dot(C_true,S_true) + E_ + np.random.randn(nb_samples,len(x))*1e-4\n", "\n", "# prepare figure\n", "ax = plt.subplot()\n", "\n", "# norm is a class which, when called, can normalize data into the\n", "# [0.0, 1.0] interval.\n", "norm = matplotlib.colors.Normalize(\n", " vmin=np.min(C_),\n", " vmax=np.max(C_))\n", "\n", "# choose a colormap\n", "c_m = matplotlib.cm.jet\n", "\n", "# create a ScalarMappable and initialize a data structure\n", "s_m = matplotlib.cm.ScalarMappable(cmap=c_m, norm=norm)\n", "s_m.set_array([])\n", "\n", "# plotting spectra\n", "# calling the ScalarMappable that was initialised with c_m and norm\n", "for i in range(C_.shape[0]):\n", " plt.plot(x,\n", " Obs[i,:].T,\n", " color=s_m.to_rgba(C_[i]))\n", "\n", "# we plot the colorbar, using again our\n", "# ScalarMappable\n", "c_bar = plt.colorbar(s_m, ax=ax)\n", "c_bar.set_label(r\"C_\")\n", "\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Baseline fit\n", "\n", "We will use the rampy.baseline function with the gcvspline option, without specifying the smoothing coefficient. It will be automatically determined using the GCV algorithm.\n", "\n", "We first create the array to store baseline-corrected spectra" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100, 600)\n" ] } ], "source": [ "Obs_corr = np.ones(Obs.shape)\n", "print(Obs_corr.shape)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We define regions of interest ROI where the baseline will fit the signals. From the previous figure, this is clear that it should be between 0 and 100, and 500 and 600." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0. 100.]\n", " [500. 600.]]\n" ] } ], "source": [ "ROI = np.array([[0.,100.],[500.,600.]])\n", "print(ROI)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Then we loop to save the baseline corrected data in this array." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "for i in range(nb_samples):\n", " sig_corr, bas_, = rp.baseline(x, Obs[i,:].T, method=\"gcvspline\", roi=ROI)\n", " Obs_corr[i,:] = sig_corr.reshape(1,-1)\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting spectra\n", "# calling the ScalarMappable that was initialised with c_m and norm\n", "\n", "plt.figure(figsize=(8,4))\n", "ax1 = plt.subplot(1,2,1)\n", "\n", "for i in range(C_.shape[0]):\n", " plt.plot(x,\n", " Obs[i,:].T,\n", " color=s_m.to_rgba(C_[i]), alpha=0.3)\n", "\n", "plt.plot(x,bas_,\"k-\",linewidth=2.0,label=\"baseline\")\n", "\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "plt.ylim(-0.001,0.026)\n", "plt.legend()\n", "plt.title(\"A) Baseline fit\")\n", "\n", "ax2 = plt.subplot(1,2,2)\n", "\n", "for i in range(C_.shape[0]):\n", " plt.plot(x,\n", " Obs_corr[i,:].T,\n", " color=s_m.to_rgba(C_[i]), alpha=0.3)\n", "\n", "\n", "c_bar = plt.colorbar(s_m, ax=ax2, )\n", "c_bar.set_label(r\"C_\")\n", "\n", "plt.xlabel('X')\n", "plt.ylim(-0.001,0.026)\n", "plt.title(\"B) Corrected spectra\")\n", "plt.show()\n", "plt.tight_layout()\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Centroid determination" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we can calculate the centroid of the signal. rampy.centroid calculates it as\n", "\n", "`centroid = np.sum(y_/np.sum(y_)*x)`\n", "\n", "It accepts arrays of spectrum, organised as n points by m samples.\n", "\n", "Smoothing can be done if wanted, by indicating `smoothing = True`. We will compare both in the following code.\n", "\n", "A tweak is to prepare an array fo x with the same shape as y, and the good x values in each columns.\n", "\n", "Furthermore, do not forget that arrays should be provided as n points by m samples. So use `.T` if needed to transpose your array. We need it below!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "x_array = np.ones((len(x),nb_samples))\n", "for i in range(nb_samples):\n", " x_array[:,i] = x\n", "\n", "centroids_no_smooth = rp.centroid(x_array,Obs_corr.T)\n", "centroids_smooth = rp.centroid(x_array,Obs_corr.T,smoothing=True)\n", "centroids_true_sig = rp.centroid(x_array,true_sig.T,smoothing=True)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we can plot the centroids against the chemical ratio C_ for instance." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(C_,centroids_true_sig,\"r-\",markersize=3.,label=\"true values\")\n", "plt.plot(C_,centroids_no_smooth,\"k.\",markersize=5., label=\"non-smoothed centroids\")\n", "plt.plot(C_,centroids_smooth,\"b+\",markersize=3., label=\"smoothed centroids\")\n", "plt.xlabel(\"Fraction C_\")\n", "plt.ylabel(\"Signal centroid\")\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 }