{ "cells": [ { "cell_type": "markdown", "id": "19c6b67f", "metadata": {}, "source": [ "# Correcting pupil foreshortening\n", "\n", "
\n", "\n", "**Experimental:** The method works on simulated data, but it has not been\n", "validated on real recordings yet, and the API will change. A fitted\n", "model cannot yet be applied to the data with a single method call; the\n", "correction is applied by hand below.\n", "\n", "
\n", "\n", "Video-based eye trackers measure the pupil as it appears to the camera.\n", "When the eye looks away from the camera, the pupil is seen at an angle\n", "and appears smaller, even though its true size does not change. This\n", "*pupil foreshortening error* can be large compared to the effects of\n", "interest, and it is a problem whenever gaze position differs between\n", "conditions.\n", "\n", "If $\\alpha$ is the angle between the direction from the eye to the\n", "camera and the direction of gaze, the measured pupil size $A$ is related\n", "to the true size $A_0$ by\n", "\n", "$$A(t) = A_0(t) \\cdot \\cos\\alpha(x(t), y(t)),$$\n", "\n", "where $x, y$ is the gaze position on the screen. $\\alpha$ depends on the\n", "geometry of the setup: the distance between eye and screen, and the\n", "position of the camera. The details of the model and the fitting\n", "procedure are described in [the algorithm description](foreshortening_correction_algorithm.md)." ] }, { "cell_type": "code", "execution_count": 1, "id": "734e253a", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:36.782619Z", "iopub.status.busy": "2026-11-10T13:35:36.782429Z", "iopub.status.idle": "2026-11-10T13:35:37.361746Z", "shell.execute_reply": "2026-11-10T13:35:37.360400Z" } }, "outputs": [], "source": [ "import pypillometry as pp\n", "from pypillometry import u\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "pp.logging_set_level(\"WARNING\")" ] }, { "cell_type": "markdown", "id": "7298939f", "metadata": {}, "source": [ "## The experimental setup\n", "\n", "The geometry is described by an `ExperimentalSetup`: screen resolution\n", "and physical size, the distance from the eye to the screen, and the\n", "position of the camera relative to the eye, in spherical coordinates\n", "($\\theta$: angle from the line of sight to the screen center,\n", "$\\phi$: direction around it, $r$: distance). Here, the camera sits below\n", "the screen ($\\phi = -90°$), 20° below the line of sight:" ] }, { "cell_type": "code", "execution_count": 2, "id": "b11730c4", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:37.366023Z", "iopub.status.busy": "2026-11-10T13:35:37.365695Z", "iopub.status.idle": "2026-11-10T13:35:37.372723Z", "shell.execute_reply": "2026-11-10T13:35:37.371750Z" } }, "outputs": [ { "data": { "text/plain": [ "ExperimentalSetup(\n", " screen=1920x1080px\n", " physical=520x290mm\n", " d=600mm\n", " camera: r=700mm, θ=20.0°, φ=-90.0°\n", ")" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "setup = pp.ExperimentalSetup(\n", " screen_resolution=(1920, 1080),\n", " physical_screen_size=(\"52 cm\", \"29 cm\"),\n", " eye_to_screen_center=\"60 cm\",\n", " camera_spherical=(\"20 deg\", \"-90 deg\", \"70 cm\"),\n", ")\n", "setup" ] }, { "cell_type": "markdown", "id": "587d984b", "metadata": {}, "source": [ "For your own data, set these values with `d.set_experimental_setup()`.\n", "Eye-to-screen distance and screen size are easy to measure; the camera\n", "angles are harder, which is why the method below estimates them from\n", "the data.\n", "\n", "## Simulated data\n", "\n", "`generate_foreshortening_data()` simulates two minutes of recording: a\n", "slowly changing true pupil size $A_0$, fixations at random places on the\n", "screen, the resulting foreshortening and some measurement noise. The true\n", "values are kept in `sim_data`:" ] }, { "cell_type": "code", "execution_count": 3, "id": "2b63d8ad", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:37.376766Z", "iopub.status.busy": "2026-11-10T13:35:37.376557Z", "iopub.status.idle": "2026-11-10T13:35:38.233584Z", "shell.execute_reply": "2026-11-10T13:35:38.232667Z" } }, "outputs": [ { "data": { "text/html": [ "
\n", "

FakeEyeData — nifaguhe

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Samples
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60,000
\n", "
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Sampling rate
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500 Hz
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Duration
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2.00 min (start 0.00, end 2.00)
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Eyes
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left
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\n", "
Variables
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left_x, left_y, left_pupil
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Events
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0
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Size
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2.3MiB
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\n", "\n", "\n", "
\n", " Signal overview\n", "
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left_pupil
\n", " \"left_pupil\n", "
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left_x
\n", " \"left_x\n", "
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\n", "
left_y
\n", " \"left_y\n", "
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\n", "\n", "\n", "\n", "
\n", " Data glimpse\n", "
EyeDataDict(vars=3,n=60000,shape=(60000,)): \n",
       "  left_x (float64): 179.3079, 179.3079, 179.3079, 179.3079, 179.3079...\n",
       "  left_y (float64): 830.9028, 830.9028, 830.9028, 830.9028, 830.9028...\n",
       "  left_pupil (float64): 671.0408, 681.3718, 681.0167, 666.7573, 667.4369...\n",
       "
\n", "
\n", "\n", "
\n" ], "text/plain": [ "FakeEyeData(nifaguhe, 2.3MiB):\n", " n : 60000\n", " sampling_rate : 500\n", " eyes : ['left']\n", " data : ['left_x', 'left_y', 'left_pupil']\n", " nevents : 0\n", " experimental_setup: {'screen_resolution': (1920, 1080), 'physical_screen_size_mm': (520.0, 290.0), 'eye_to_screen_distance_mm': 600.0, 'camera_distance_mm': 700.0, 'camera_angles_deg': (20.0, -90.0)}\n", " calibration : not available\n", " duration_minutes : 2.0\n", " start_min : 0.0\n", " end_min : 2.0\n", " params : {}\n", " nblinks : {}\n", " blinks : {}\n", " glimpse : EyeDataDict(vars=3,n=60000,shape=(60000,)): \n", " left_x (float64): 179.3079, 179.3079, 179.3079, 179.3079, 179.3079...\n", " left_y (float64): 830.9028, 830.9028, 830.9028, 830.9028, 830.9028...\n", " left_pupil (float64): 671.0408, 681.3718, 681.0167, 666.7573, 667.4369...\n", "\n", " Simulation: sim_fct=generate_foreshortening_data, sim_data=['left_A0', 'left_cosalpha']\n", " History:\n", " *" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fd = pp.signal.generate_foreshortening_data(experimental_setup=setup, duration=120,\n", " fs=500, seed=42)\n", "true_pupil = np.asarray(fd.sim_data[\"left_A0\"])\n", "fd" ] }, { "cell_type": "markdown", "id": "c123edbf", "metadata": {}, "source": [ "The measured pupil size depends on where the eye looks. Points far away\n", "from the camera (at the top of the screen) give the smallest values:" ] }, { "cell_type": "code", "execution_count": 4, "id": "7e3e515d", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:38.236025Z", "iopub.status.busy": "2026-11-10T13:35:38.235751Z", "iopub.status.idle": "2026-11-10T13:35:38.366990Z", "shell.execute_reply": "2026-11-10T13:35:38.366173Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "measured = np.asarray(fd[\"left_pupil\"])\n", "y_px = np.asarray(fd[\"left_y\"])\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.scatter(y_px[::50], (measured / true_pupil)[::50], s=4)\n", "plt.xlabel(\"gaze y (pixels, 0 = top of the screen)\")\n", "plt.ylabel(\"measured / true pupil size\");" ] }, { "cell_type": "markdown", "id": "f36e2baa", "metadata": {}, "source": [ "## A simple correction\n", "\n", "`pupil.correct_foreshortening()` uses a simple geometric correction that\n", "only needs the eye-to-screen distance. It assumes that the pupil appears\n", "undistorted when the eye looks at the screen center, i.e. that the\n", "camera is right behind the screen center:" ] }, { "cell_type": "code", "execution_count": 5, "id": "c260f8c5", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:38.369229Z", "iopub.status.busy": "2026-11-10T13:35:38.369057Z", "iopub.status.idle": "2026-11-10T13:35:38.376749Z", "shell.execute_reply": "2026-11-10T13:35:38.375937Z" } }, "outputs": [], "source": [ "simple = fd | pp.pupil.correct_foreshortening()\n", "simple_pupil = np.asarray(simple[\"left_pupil\"])" ] }, { "cell_type": "markdown", "id": "9ba5d05a", "metadata": {}, "source": [ "## Fitting the camera position\n", "\n", "`pupil.fit_foreshortening()` estimates the camera angles $\\theta$ and $\\phi$\n", "together with the time course of the true pupil size, which is modeled\n", "as a smooth B-spline. The idea is that the same true pupil size seen\n", "from different angles has to produce the measured values. The data are\n", "low-pass filtered and downsampled before fitting." ] }, { "cell_type": "code", "execution_count": 6, "id": "cab50f33", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:38.378580Z", "iopub.status.busy": "2026-11-10T13:35:38.378404Z", "iopub.status.idle": "2026-11-10T13:35:40.280146Z", "shell.execute_reply": "2026-11-10T13:35:40.279067Z" } }, "outputs": [ { "data": { "text/plain": [ "ForeshorteningCalibration(eye='left', theta=16.4°, phi=-89.5°, n_coeffs=124, R²=0.948, RMSE=21.995)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cal = fd.pupil.fit_foreshortening(\"left\", verbose=False)\n", "cal" ] }, { "cell_type": "markdown", "id": "c5c26c25", "metadata": {}, "source": [ "The estimated angles are close to the true values ($\\theta = 20°$,\n", "$\\phi = -90°$):" ] }, { "cell_type": "code", "execution_count": 7, "id": "7dd4e930", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:40.284976Z", "iopub.status.busy": "2026-11-10T13:35:40.283688Z", "iopub.status.idle": "2026-11-10T13:35:40.293399Z", "shell.execute_reply": "2026-11-10T13:35:40.291570Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta = 16.4 deg, phi = -89.5 deg\n" ] } ], "source": [ "print(f\"theta = {np.degrees(cal.theta):.1f} deg, phi = {np.degrees(cal.phi):.1f} deg\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "41570888", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:40.296724Z", "iopub.status.busy": "2026-11-10T13:35:40.296375Z", "iopub.status.idle": "2026-11-10T13:35:41.527587Z", "shell.execute_reply": "2026-11-10T13:35:41.526216Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fd.plot.plot_experimental_setup(calibration=cal);" ] }, { "cell_type": "markdown", "id": "95527a1e", "metadata": {}, "source": [ "The fitted model gives a correction factor $1/\\cos\\alpha$ for every gaze\n", "position. Multiplying the measured pupil size by it gives the corrected\n", "signal:" ] }, { "cell_type": "code", "execution_count": 9, "id": "2ac4d3b1", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:41.530636Z", "iopub.status.busy": "2026-11-10T13:35:41.530034Z", "iopub.status.idle": "2026-11-10T13:35:41.542629Z", "shell.execute_reply": "2026-11-10T13:35:41.541160Z" }, "lines_to_next_cell": 1 }, "outputs": [], "source": [ "factor = cal.get_correction_factor(fd[\"left_x\"], fd[\"left_y\"])\n", "fitted_pupil = np.asarray(fd[\"left_pupil\"] * factor)" ] }, { "cell_type": "markdown", "id": "332c1cc2", "metadata": {}, "source": [ "## Comparison\n", "\n", "Since the data are simulated, we can compare each version with the true\n", "pupil size:" ] }, { "cell_type": "code", "execution_count": 10, "id": "ebb906d0", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:41.545761Z", "iopub.status.busy": "2026-11-10T13:35:41.545442Z", "iopub.status.idle": "2026-11-10T13:35:41.553495Z", "shell.execute_reply": "2026-11-10T13:35:41.552201Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "measured RMSE = 79.7\n", "simple correction RMSE = 55.9\n", "fitted model RMSE = 17.8\n" ] } ], "source": [ "def rmse(x):\n", " return np.sqrt(np.nanmean((x - true_pupil) ** 2))\n", "\n", "for name, signal in [(\"measured\", measured), (\"simple correction\", simple_pupil),\n", " (\"fitted model\", fitted_pupil)]:\n", " print(f\"{name:18s} RMSE = {rmse(signal):5.1f}\")" ] }, { "cell_type": "code", "execution_count": 11, "id": "909c6c8d", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T13:35:41.556547Z", "iopub.status.busy": "2026-11-10T13:35:41.555996Z", "iopub.status.idle": "2026-11-10T13:35:42.133957Z", "shell.execute_reply": "2026-11-10T13:35:42.132382Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = fd.tx / 1000\n", "plt.figure(figsize=(12, 4))\n", "plt.plot(t, measured, color=\"lightgrey\", label=\"measured\")\n", "plt.plot(t, simple_pupil, color=\"tab:orange\", alpha=0.7, label=\"simple correction\")\n", "plt.plot(t, fitted_pupil, color=\"tab:blue\", alpha=0.7, label=\"fitted model\")\n", "plt.plot(t, true_pupil, color=\"black\", label=\"true\")\n", "plt.xlim(0, 30)\n", "plt.xlabel(\"time (s)\")\n", "plt.ylabel(\"pupil size\")\n", "plt.legend(ncol=4);" ] }, { "cell_type": "markdown", "id": "c96a44a5", "metadata": {}, "source": [ "The simple correction helps only partly, because the camera is not\n", "behind the screen center. The fitted model removes most of the error.\n", "\n", "## Open issues\n", "\n", "- The fitted correction is not yet available as a method of the data\n", " objects (it has to be applied by hand as above).\n", "- Only one eye is fitted at a time, and screen offset and tilt in the\n", " experimental setup are not taken into account.\n", "- The method still needs to be validated on real data, e.g., with a\n", " calibration task in which participants fixate points across the\n", " screen." ] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.15.1" } }, "nbformat": 4, "nbformat_minor": 5 }