diff --git a/python/gtsam/examples/RangeISAMExample_plaza2.ipynb b/python/gtsam/examples/RangeISAMExample_plaza2.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "GTSAM Copyright 2010-2022, Georgia Tech Research Corporation,\n",
+ "Atlanta, Georgia 30332-0415\n",
+ "All Rights Reserved\n",
+ "\n",
+ "Authors: Frank Dellaert, et al. (see THANKS for the full author list)\n",
+ "\n",
+ "See LICENSE for the license information\n",
+ "\n",
+ "A 2D Range SLAM example, with iSAM and smart range factors\n",
+ "\n",
+ "Author: Frank Dellaert"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# pylint: disable=invalid-name, E1101\n",
+ "\n",
+ "from gtsam import Point2, Pose2\n",
+ "import plotly.express as px\n",
+ "import numpy as np\n",
+ "import gtsam\n",
+ "import math\n",
+ "\n",
+ "import matplotlib.pyplot as plt\n",
+ "from gtsam.utils import plot\n",
+ "from numpy.random import default_rng\n",
+ "\n",
+ "rng = default_rng()\n",
+ "\n",
+ "NM = gtsam.noiseModel"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Read 4090 odometry entries.\n"
+ ]
+ }
+ ],
+ "source": [
+ "# load the odometry\n",
+ "# DR: Odometry Input (delta distance traveled and delta heading change)\n",
+ "# Time (sec) Delta Distance Traveled (m) Delta Heading (rad)\n",
+ "odometry = {}\n",
+ "data_file = gtsam.findExampleDataFile(\"Plaza2_DR.txt\")\n",
+ "for row in np.loadtxt(data_file):\n",
+ " t, distance_traveled, delta_heading = row\n",
+ " odometry[t] = Pose2(distance_traveled, 0, delta_heading)\n",
+ "M = len(odometry)\n",
+ "print(f\"Read {M} odometry entries.\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Read 1816 range triples.\n"
+ ]
+ }
+ ],
+ "source": [
+ "# load the ranges from TD\n",
+ "# Time (sec) Sender / Antenna ID Receiver Node ID Range (m)\n",
+ "triples = []\n",
+ "data_file = gtsam.findExampleDataFile(\"Plaza2_TD.txt\")\n",
+ "for row in np.loadtxt(data_file):\n",
+ " t, sender, receiver, _range = row\n",
+ " triples.append((t, int(receiver), _range))\n",
+ "K = len(triples)\n",
+ "print(f\"Read {K} range triples.\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# parameters\n",
+ "minK = 150 # minimum number of range measurements to process initially\n",
+ "incK = 25 # minimum number of range measurements to process after\n",
+ "robust = True"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Set Noise parameters\n",
+ "priorSigmas = gtsam.Point3(1, 1, math.pi)\n",
+ "odoSigmas = gtsam.Point3(0.05, 0.01, 0.1)\n",
+ "sigmaR = 100.0 # range standard deviation\n",
+ "\n",
+ "priorNoise = NM.Diagonal.Sigmas(priorSigmas) # prior\n",
+ "looseNoise = NM.Isotropic.Sigma(2, 1000) # loose LM prior\n",
+ "odoNoise = NM.Diagonal.Sigmas(odoSigmas) # odometry\n",
+ "gaussian = NM.Isotropic.Sigma(1, sigmaR) # non-robust\n",
+ "tukey = NM.Robust.Create(NM.mEstimator.Tukey.Create(15), gaussian) # robust\n",
+ "rangeNoise = tukey if robust else gaussian"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ ": cliques: 0, variables: 0\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize iSAM\n",
+ "isam = gtsam.ISAM2()\n",
+ "print(isam)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "NonlinearFactorGraph: size: 1\n",
+ "\n",
+ "Factor 0: PriorFactor on 0\n",
+ " prior mean: (-34.2086, 45.3008, 1.1205)\n",
+ " noise model: diagonal sigmas[1; 1; 3.14159265];\n",
+ "\n",
+ " Values with 1 values:\n",
+ "Value 0: (gtsam::Pose2)\n",
+ "(-34.208649, 45.300764, 1.12050365)\n",
+ "\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Add prior on first pose\n",
+ "pose0 = Pose2(-34.2086489999201, 45.3007639991120, math.pi - 2.021089)\n",
+ "newFactors = gtsam.NonlinearFactorGraph()\n",
+ "newFactors.addPriorPose2(0, pose0, priorNoise)\n",
+ "initial = gtsam.Values()\n",
+ "initial.insert(0, pose0)\n",
+ "print(newFactors, initial)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Adding landmark L1\n",
+ "Adding landmark L6\n",
+ "Adding landmark L0\n",
+ "Adding landmark L5\n",
+ "Initializing at time 151\n"
+ ]
+ }
+ ],
+ "source": [
+ "# set some loop variables\n",
+ "i = 1 # step counter\n",
+ "k = 0 # range measurement counter\n",
+ "initialized = False\n",
+ "lastPose = pose0\n",
+ "countK = 0\n",
+ "\n",
+ "initializedLandmarks = set()\n",
+ "\n",
+ "# Loop over odometry\n",
+ "for t, relative_pose in odometry.items():\n",
+ " # add odometry factor\n",
+ " newFactors.add(gtsam.BetweenFactorPose2(i - 1, i, relative_pose,\n",
+ " odoNoise))\n",
+ "\n",
+ " # predict pose and add as initial estimate\n",
+ " predictedPose = lastPose.compose(relative_pose)\n",
+ " lastPose = predictedPose\n",
+ " initial.insert(i, predictedPose)\n",
+ "\n",
+ " # Check if there are range factors to be added\n",
+ " while (k < K) and (triples[k][0] <= t):\n",
+ " j = triples[k][1]\n",
+ " landmark_key = gtsam.symbol('L', j)\n",
+ " _range = triples[k][2]\n",
+ " newFactors.add(gtsam.RangeFactor2D(\n",
+ " i, landmark_key, _range, rangeNoise))\n",
+ " if landmark_key not in initializedLandmarks:\n",
+ " p = rng.normal(loc=40,scale=5,size=(2,))\n",
+ " initial.insert(landmark_key, p)\n",
+ " print(f\"Adding landmark L{j}\")\n",
+ " initializedLandmarks.add(landmark_key)\n",
+ " # We also add a very loose prior on the landmark in case there is only\n",
+ " # one sighting, which cannot fully determine the landmark.\n",
+ " newFactors.add(gtsam.PriorFactorPoint2(\n",
+ " landmark_key, Point2(-40, 40), looseNoise))\n",
+ " k = k + 1\n",
+ " countK = countK + 1\n",
+ "\n",
+ " # Check whether to update iSAM 2\n",
+ " if (k > minK) and (countK > incK):\n",
+ " if not initialized: # Do a full optimize for first minK ranges\n",
+ " print(f\"Initializing at time {k}\")\n",
+ " batchOptimizer = gtsam.LevenbergMarquardtOptimizer(\n",
+ " newFactors, initial)\n",
+ " initial = batchOptimizer.optimize()\n",
+ " initialized = True\n",
+ "\n",
+ " isam.update(newFactors, initial)\n",
+ " result = isam.calculateEstimate()\n",
+ " lastPose = result.atPose2(i)\n",
+ " newFactors = gtsam.NonlinearFactorGraph()\n",
+ " initial = gtsam.Values()\n",
+ " countK = 0\n",
+ "\n",
+ " i += 1\n",
+ "\n",
+ "finalResult = isam.calculateEstimate()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "5476377146882523136: [-36.82919593 26.43059833]\n",
+ "5476377146882523137: [-76.14891175 22.8614804 ]\n",
+ "5476377146882523141: [ -3.59406453 -13.50748537]\n",
+ "5476377146882523142: [-34.91205938 72.42462601]\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Print optimized landmarks:\n",
+ "for j in [0,1,5,6]:\n",
+ " landmark_key = gtsam.symbol('L', j)\n",
+ " p = finalResult.atPoint2(landmark_key)\n",
+ " print(f\"{landmark_key}: {p}\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(4090, 2)\n"
+ ]
+ }
+ ],
+ "source": [
+ "# plot positions\n",
+ "poses = gtsam.utilities.allPose2s(finalResult)\n",
+ "landmarks = gtsam.utilities.extractPoint2(finalResult)\n",
+ "positions = np.array([poses.atPose2(key).translation()\n",
+ " for key in poses.keys()])\n",
+ "print(positions.shape)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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+ "x": 0.05
+ },
+ "xaxis": {
+ "automargin": true,
+ "gridcolor": "white",
+ "linecolor": "white",
+ "ticks": "",
+ "title": {
+ "standoff": 15
+ },
+ "zerolinecolor": "white",
+ "zerolinewidth": 2
+ },
+ "yaxis": {
+ "automargin": true,
+ "gridcolor": "white",
+ "linecolor": "white",
+ "ticks": "",
+ "title": {
+ "standoff": 15
+ },
+ "zerolinecolor": "white",
+ "zerolinewidth": 2
+ }
+ }
+ },
+ "xaxis": {
+ "anchor": "y",
+ "domain": [
+ 0,
+ 1
+ ],
+ "title": {
+ "text": "x"
+ }
+ },
+ "yaxis": {
+ "anchor": "x",
+ "domain": [
+ 0,
+ 1
+ ],
+ "scaleanchor": "x",
+ "scaleratio": 1,
+ "title": {
+ "text": "y"
+ }
+ }
+ }
+ }
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig = px.scatter(x=positions[:,0],y=positions[:,1])\n",
+ "fig.add_scatter(x=landmarks[:,0], y=landmarks[:,1], mode=\"markers\", showlegend= False)\n",
+ "fig.update_layout(margin=dict(l=0, r=0, t=0, b=0))\n",
+ "fig.update_yaxes(scaleanchor = \"x\", scaleratio = 1)\n",
+ "fig.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[-36.82919593, 26.43059833],\n",
+ " [-76.14891175, 22.8614804 ],\n",
+ " [ -3.59406453, -13.50748537],\n",
+ " [-34.91205938, 72.42462601]])"
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "landmarks"
+ ]
+ }
+ ],
+ "metadata": {
+ "interpreter": {
+ "hash": "341996cd3f3db7b5e0d1eaea072c5502d80452314e72e6b77c40445f6e9ba101"
+ },
+ "kernelspec": {
+ "display_name": "Python 3.8.12 ('nbdev')",
+ "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": "3.8.12"
+ },
+ "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}