{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# `spline_fxns` module tutorial\n", "\n", "This tutorial showcases the usage and results of the three methods implemented in the `brainlit.algoritm.trace_analysis.spline_fxns` module:\n", "\n", "1. `speed()`\n", "\n", "2. `curvature()`\n", "\n", "3. `torsion()`\n", "\n", "Here, we will apply the module's methods to a synthetic case where\n", "\n", "$f: u \\mapsto [u^3, \\sin(u), u^2], u \\in [-\\pi, \\pi]$,\n", "\n", "using B-Splines with order $k \\in \\{1, 2, 3, 4, 5\\}$. The goal of the experiment is to show how changing the order of the B-Spline affects the accuracy of the methods with respects to the theoretical ground truth. We remark that `scipy.interpolate.BSpline` has a default value of $k = 3$.\n", "\n", "First of all, it is important to remark that values of $k$ less or equal to $2$ should be avoided because they provide very poor results. Furthermore, $k=1$ cannot be used to evaluate the curvature because B-Splines with order $1$ do not have a second derivative, and $k=2$ cannot be used to evaluate the torsion because B-Splines with order $2$ do not have a third derivative. The results of this experiment suggest that it is not necessarily true that higher orders will provide more accurate results, since the accuracy varies with the value of the parameter that we are trying to estimate. For example, we will show in this experiment that a B-Spline with order $5$ is better than a B-Spline with order $3$ when the torsion is much greater than $0$, while its performance degrades almost completely for values close to $0$. \n", "\n", "To conclude, this simple experiment wants to show the performance of the `spline_fxns` module on a synthetic, 3D curve. By changing the order of the B-Spline used to interpolate the curve, we see that the accuracy of the methods changes significantly. We do not provide a general rule to pick the best value of $k$, but we suggest that using $k=3,4$ could provide a better performance on average, avoiding singularities that can arise with $k = 5$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0. Define and evaluate the function\n", "\n", "Here, we define and plot the function $f$ - the ground truth of the experiment." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "plt.rcParams.update({\"font.size\": 14})\n", "from brainlit.algorithms.trace_analysis import spline_fxns\n", "from scipy.interpolate import BSpline, splprep\n", "\n", "# define the paremeter space\n", "theta = np.linspace(-np.pi, np.pi, 100)\n", "L = len(theta)\n", "# define f(u)\n", "X = theta**3\n", "Y = np.sin(theta)\n", "Z = theta**2\n", "# define df(u)\n", "dX = 3 * theta**2\n", "dY = np.cos(theta)\n", "dZ = 2 * theta\n", "# define ddf(u)\n", "ddX = 6 * theta\n", "ddY = -np.sin(theta)\n", "ddZ = 2 * np.ones(L)\n", "# define dddf(u)\n", "dddX = 6 * np.ones(L)\n", "dddY = -np.cos(theta)\n", "dddZ = np.zeros(L)\n", "\n", "# define the ground-truth arrays\n", "C = np.array([X, Y, Z])\n", "dC = np.array([dX, dY, dZ]).T\n", "ddC = np.array([ddX, ddY, ddZ]).T\n", "dddC = np.array([dddX, dddY, dddZ]).T\n", "\n", "# plot f(u)\n", "fig = plt.figure(figsize=(12, 10), dpi=80)\n", "ax = fig.add_subplot(1, 1, 1, projection=\"3d\")\n", "ax.plot(X, Y, Z)\n", "ax.scatter(X, Y, Z, c=\"r\")\n", "ax.set_xlabel(\"X\")\n", "ax.set_ylabel(\"Y\")\n", "ax.set_zlabel(\"Z\")\n", "ax.set_title(r\"$f(u) = [u^3, sin(u), u^2], u \\in [-\\pi, \\pi]$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Speed\n", "\n", "The speed measures how fast a point is moving on a parametric curve. \n", "\n", "Let $F: \\mathbf{R} \\to \\mathbf{R}^d$ be a differentiable function, its speed is the $\\ell^2$-norm of $\\mathbf{J}(F) = \\left[\\frac{\\partial F_i}{\\partial x}, \\dots , \\frac{\\partial F_d}{\\partial x}\\right]$.\n", "\n", "Given $u_1, \\dots, u_N$ evaluation points of the parameter, we will compare the results of `spline_fxns.speed()` (denoted with $\\hat{S_k}$) with the ground truth $S = ||\\mathbf{J}(f)||_2 = \\sqrt{(3u_i^2)^2 + (\\cos(u_i))^2 + (2u_i)^2}$. Here, we will use the uniform norm of the relative error:\n", "\n", "$||\\mathcal{E}||_\\infty = \\max |\\mathcal{E}|,\\quad \\mathcal{E} = \\frac{S(u) - \\hat{S_k}(u)}{S(u)}$,\n", "\n", "to evaluate the accuracy as a function of $k$.\n", "\n", "$Fig.1$ shows the estimated speed and its error for $k \\in \\{1, 2, 3, 4, 5\\}$. Specifically, we see that the default value of $k=3$ implies a $10\\%$ error on the speed, while $k=5$ performs better, with an error $\\sim 1\\%$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Fig.1 Estimating the speed of a curve via B-Spline interpolation')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# prepare output figure and axes\n", "fig = plt.figure(figsize=(16, 6))\n", "axes = fig.subplots(1, 2)\n", "\n", "# evaluate the theoretical expected value S(u)\n", "expected_speed = np.linalg.norm(dC, axis=1)\n", "\n", "# initialize vector of B-Spline orders to test\n", "ks = [1, 2, 3, 4, 5]\n", "# initialize vector that will contain the relative errors\n", "uniform_err = []\n", "for k in ks:\n", " tck, u = splprep(C, u=theta, k=k)\n", " t = tck[0]\n", " c = tck[1]\n", " k = tck[2]\n", " speed = spline_fxns.speed(theta, t, c, k, aux_outputs=False)\n", " # plot the estimated curvature\n", " axes[0].plot(theta, speed, \"o--\", label=\"k = %d\" % k, markersize=3)\n", " # evaluate the uniform error\n", " uniform_err.append(np.amax(np.abs((expected_speed - speed) / expected_speed)))\n", "\n", "# plot speed\n", "ax = axes[0]\n", "ax.plot(theta, expected_speed, c=\"r\", label=\"true value\")\n", "ax.set_xlabel(r\"$u$\")\n", "ax.set_ylabel(r\"$S(u)$\")\n", "ax.set_title(\"Speed\")\n", "ax.legend()\n", "\n", "# plot error\n", "ax = axes[1]\n", "ax.plot(ks, uniform_err, \"o--\")\n", "ax.set_yscale(\"log\")\n", "ax.set_xlabel(r\"$k$\")\n", "ax.set_xticks(ks)\n", "ax.set_ylabel(r\"$||\\mathcal{E}||_\\infty$\")\n", "ax.set_title(\"Error\")\n", "\n", "fig.suptitle(\"Fig.1 Estimating the speed of a curve via B-Spline interpolation\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Curvature\n", "\n", "The curvature measures the failure of a curve to be a straight line.\n", "\n", "Given $u_1, \\dots, u_N$ evaluation points of the parameter, the expected curvature vector $C$ for the ground truth function $f$ is\n", "\n", "$C(u) = \\lVert f'(u) \\times f''(u) \\rVert \\; / \\; \\lVert f'(u) \\rVert^3$.\n", "\n", "Here, we will compare the results of `spline_fxns.curvature()` (denoted with $\\hat{C_k}$) with the ground truth $C$. Again, we will use the uniform norm of the relative error:\n", "\n", "$||\\mathcal{E}||_\\infty = \\max |\\mathcal{E}|,\\quad \\mathcal{E} = \\frac{C(u) - \\hat{C_k}(u)}{C(u)}$,\n", "\n", "to evaluate the accuracy as a function of $k$.\n", "\n", "$Fig.2$ shows the estimated curvature and its error for $k \\in \\{1, 2, 3, 4, 5\\}$. For $k=1$, the curvature is identically $0$ for any $u$ because the second derivative of a B-Spline of order $1$ does not exist, and we set it to $0$. Specifically, we see that the default value of $k=3$ implies a $\\sim 30\\%$ error on the curvature, which is much higher than the previous error found for the speed. We also see that for $k=5$ the uniform error is $\\sim 10\\%$, which is almost $10$ times bigger than the error on the speed for $k=5$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Fig.2 Estimating the curvature of a line via B-Spline interpolation')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# prepare output figure and axes\n", "fig = plt.figure(figsize=(16, 6))\n", "axes = fig.subplots(1, 2)\n", "\n", "# evaluate the theoretical expected value C(u)\n", "cross = np.cross(dC, ddC)\n", "num = np.linalg.norm(cross, axis=1)\n", "denom = np.linalg.norm(dC, axis=1) ** 3\n", "expected_curvature = np.nan_to_num(num / denom)\n", "\n", "# initialize vector of B-Spline orders to test\n", "ks = [1, 2, 3, 4, 5]\n", "# initialize vector that will contain the relative errors\n", "uniform_err = []\n", "for k in ks:\n", " tck, u = splprep(C, u=theta, k=k)\n", " t = tck[0]\n", " c = tck[1]\n", " k = tck[2]\n", " curvature, deriv, dderiv = spline_fxns.curvature(theta, t, c, k, aux_outputs=True)\n", " # plot the estimated curvature\n", " axes[0].plot(theta, curvature, \"o--\", label=\"k = %d\" % k, markersize=3)\n", " # evaluate the uniform error\n", " uniform_err.append(\n", " np.amax(np.abs((expected_curvature - curvature) / expected_curvature))\n", " )\n", "\n", "# plot curvature\n", "ax = axes[0]\n", "ax.plot(theta, expected_curvature, c=\"r\", label=\"true value\")\n", "ax.set_xlabel(r\"$u$\")\n", "ax.set_ylabel(r\"$C(u)$\")\n", "ax.set_title(\"Curvature of a B-Spline\")\n", "ax.legend()\n", "\n", "# plot error\n", "ax = axes[1]\n", "ax.plot(ks, uniform_err, \"o--\")\n", "ax.set_yscale(\"log\")\n", "ax.set_xlabel(r\"$k$\")\n", "ax.set_xticks(ks)\n", "ax.set_ylabel(r\"$||\\mathcal{E}||_\\infty$\")\n", "ax.set_title(\"Error\")\n", "\n", "fig.suptitle(\"Fig.2 Estimating the curvature of a line via B-Spline interpolation\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Torsion\n", "\n", "The torsion measures the failure of a curve to be planar. \n", "\n", "Given $u_1, \\dots, u_N$ evaluation points of the parameter, the expected torsion vector $\\tau$ for the ground truth function $f$ is\n", "\n", "$\\tau(u) = \\lvert f'(u), f''(u), f'''(u) \\rvert \\; / \\; \\lVert f'(u) \\times f''(u) \\rVert^2$\n", "\n", "Here, we will compare the results of `spline_fxns.torsion()` (denoted with $\\hat{\\tau_k}$) with the ground truth $\\tau$. Again, ee will use the uniform norm of the relative error:\n", "\n", "$||\\mathcal{E}||_\\infty = \\max |\\mathcal{E}|,\\quad \\mathcal{E} = \\frac{\\tau(u) - \\hat{\\tau_k}(u)}{\\tau(u)}$,\n", "\n", "to evaluate the accuracy as a function of $k$.\n", "\n", "$Fig.3$ shows the estimated torsion and its error for $k \\in \\{1, 2, 3, 4, 5\\}$. For $k=1, 2$ the torsion is identically $0$ for any $u$ because the second, third derivatives of a B-Spline of order $1, 2$ respectively, cannot be evaluated, so we set them to $0$. Interestingly, we see that $k=3$ reduces the error compared to $k=5$. This happens because the B-Spline with order $5$ is worse at estimating the long tails close to $0$, while it performs better with larger values of the torsion." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Fig.3 Estimating the torsion of a line via B-Spline interpolation')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# prepare output figure and axes\n", "fig = plt.figure(figsize=(18, 6))\n", "axes = fig.subplots(1, 2)\n", "\n", "# evaluate the theoretical expected value \\tau(u)\n", "expected_cross = np.cross(dC, ddC)\n", "expected_num = np.diag((expected_cross @ dddC.T))\n", "expected_denom = np.linalg.norm(expected_cross, axis=1) ** 2\n", "expected_torsion = np.nan_to_num(expected_num / expected_denom)\n", "\n", "# initialize vector of B-Spline orders to test\n", "ks = [1, 2, 3, 4, 5]\n", "# initialize vector that will contain the relative errors\n", "uniform_err = []\n", "for k in [1, 2, 3, 4, 5]:\n", " tck, u = splprep(C, u=theta, k=k)\n", " t = tck[0]\n", " c = tck[1]\n", " k = tck[2]\n", " torsion = spline_fxns.torsion(theta, t, c, k, aux_outputs=False)\n", " # plot the estimated curvature\n", " axes[0].plot(theta, torsion, \"o--\", label=\"k = %d\" % k, markersize=3)\n", " # evaluate the uniform error\n", " uniform_err.append(np.amax(np.abs((expected_torsion - torsion) / expected_torsion)))\n", "\n", "# plot torsion\n", "ax = axes[0]\n", "ax.plot(theta, expected_torsion, c=\"r\", label=\"true value\")\n", "ax.set_xlabel(r\"$u$\")\n", "ax.set_ylabel(r\"$\\tau(u)$\")\n", "ax.set_title(\"Torsion of a B-Spline\")\n", "ax.legend()\n", "\n", "# plot error\n", "ax = axes[1]\n", "ax.plot(ks, uniform_err, \"o--\")\n", "ax.set_yscale(\"log\")\n", "ax.set_xlabel(r\"$k$\")\n", "ax.set_xticks(ks)\n", "ax.set_ylabel(r\"$||\\mathcal{E}||_\\infty$\")\n", "ax.set_title(\"Error\")\n", "\n", "fig.suptitle(\"Fig.3 Estimating the torsion of a line via B-Spline interpolation\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 2.96088132e+01 -8.71069066e-01 -6.28318531e+00]\n", " [ 2.84245815e+01 -9.01479929e-01 -6.15625227e+00]\n", " [ 2.72645178e+01 -9.22808496e-01 -6.02931923e+00]\n", " [ 2.61286221e+01 -9.35578172e-01 -5.90238620e+00]\n", " [ 2.50168944e+01 -9.40301452e-01 -5.77545316e+00]\n", " [ 2.39293347e+01 -9.37479932e-01 -5.64852012e+00]\n", " [ 2.28659430e+01 -9.27604299e-01 -5.52158709e+00]\n", " [ 2.18267193e+01 -9.11154340e-01 -5.39465405e+00]\n", " [ 2.08116635e+01 -8.88598935e-01 -5.26772102e+00]\n", " [ 1.98207758e+01 -8.60396060e-01 -5.14078798e+00]\n", " [ 1.88540560e+01 -8.26992789e-01 -5.01385494e+00]\n", " [ 1.79115043e+01 -7.88825289e-01 -4.88692191e+00]\n", " [ 1.69931205e+01 -7.46318825e-01 -4.75998887e+00]\n", " [ 1.60989048e+01 -6.99887756e-01 -4.63305583e+00]\n", " [ 1.52288570e+01 -6.49935539e-01 -4.50612280e+00]\n", " [ 1.43829772e+01 -5.96854724e-01 -4.37918976e+00]\n", " [ 1.35612654e+01 -5.41026959e-01 -4.25225672e+00]\n", " [ 1.27637216e+01 -4.82822986e-01 -4.12532369e+00]\n", " [ 1.19903458e+01 -4.22602646e-01 -3.99839065e+00]\n", " [ 1.12411380e+01 -3.60714871e-01 -3.87145761e+00]\n", " [ 1.05160982e+01 -2.97497694e-01 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4.25225672e+00]\n", " [ 1.43829772e+01 -5.80056910e-01 4.37918976e+00]\n", " [ 1.52288570e+01 -6.30552667e-01 4.50612280e+00]\n", " [ 1.60989048e+01 -6.78509412e-01 4.63305583e+00]\n", " [ 1.69931205e+01 -7.23734038e-01 4.75998887e+00]\n", " [ 1.79115043e+01 -7.66044443e-01 4.88692191e+00]\n", " [ 1.88540560e+01 -8.05270258e-01 5.01385494e+00]\n", " [ 1.98207758e+01 -8.41253533e-01 5.14078798e+00]\n", " [ 2.08116635e+01 -8.73849377e-01 5.26772102e+00]\n", " [ 2.18267193e+01 -9.02926538e-01 5.39465405e+00]\n", " [ 2.28659430e+01 -9.28367933e-01 5.52158709e+00]\n", " [ 2.39293347e+01 -9.50071118e-01 5.64852012e+00]\n", " [ 2.50168944e+01 -9.67948701e-01 5.77545316e+00]\n", " [ 2.61286221e+01 -9.81928697e-01 5.90238620e+00]\n", " [ 2.72645178e+01 -9.91954813e-01 6.02931923e+00]\n", " [ 2.84245815e+01 -9.97986676e-01 6.15625227e+00]\n", " [ 2.96088132e+01 -1.00000000e+00 6.28318531e+00]]\n" ] } ], "source": [ "curvature, deriv, dderiv = spline_fxns.curvature(theta, t, c, k, aux_outputs=True)\n", "print(deriv, dC)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "env_37_demo", "language": "python", "name": "env_37_demo" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.8" } }, "nbformat": 4, "nbformat_minor": 2 }