{ "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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", 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" ] }, "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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", 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" ] }, "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": "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": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 2 }