Robotics, vision and control fundamental algorithms in MATLAB

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1. Verfasser: Corke, Peter I. 1959- (VerfasserIn)
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Veröffentlicht: Cham Springer [2017]
Ausgabe:Second, completely revised, extended and updated edition
Schriftenreihe:Springer Tracts in Advanced Robotics Volume 118
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Datensatz im Suchindex

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adam_text Contents 1 Introduction ...................................................... 1 1.1 Robots, Jobs and Ethics ............................................7 1.2 About the Book .....................................................8 1.2.1 MATLAB Software and the Toolboxes ....................... 9 1.2.2 Notation, Conventions and Organization .................. 10 1.2.3 Audience and Prerequisites ................................ 11 1.2.4 Learning with the Book .................................... 11 1.2.5 Teaching with the Book .....................................12 1.2.6 Outline ................................................... 12 Further Reading .................................................. 14 Parti Foundations ............................................... 15 2 Representing Position and Orientation............................ 17 2.1 Working in Two Dimensions (2D) ....................................22 2.1.1 Orientation in 2-Dimensions ................................23 2.1.2 Pose in 2-Dimensions .......................................26 2.2 Working in Three Dimensions (3D) ..................................31 2.2.1 Orientation in 3-Dimensions ................................32 2.2.2 Pose in 3-Dimensions .......................................46 2.3 Advanced Topics ...................................................49 2.3.1 Normalization ..............................................49 2.3.2 Understanding the Exponential Mapping ......................50 2.3.3 More About Twists ..........................................52 2.3.4 Dual Quaternions ...........................................55 2.3.5 Configuration Space ....................................... 55 2.4 Using the Toolbox .................................................56 2.5 Wrapping Up .......................................................58 Further Reading ...................................................60 Exercises .........................................................61 3 Time and Motion ...................................................63 3.1 Time-Varying Pose..................................................63 3.1.1 Derivative of Pose ........................................ 63 3.1.2 Transforming Spatial Velocities ............................64 3.1.3 Incremental Rotation .......................................66 3.1.4 Incremental Rigid-Body Motion ..............................67 3.2 Accelerating Bodies and Reference Frames ..........................68 3.2.1 Dynamics of Moving Bodies ..................................68 3.2.2 Transforming Forces and Torques ............................69 3.2.3 Inertial Reference Frame ...................................69 3.3 Creating Time-Varying Pose.........................................70 3.3.1 Smooth One-Dimensional Trajectories ........................70 xviii Contents 3.4 3.5 4 4.1 4.2 4.3 4.4 5 5.1 5.2 5.3 6 6.1 6.2 6.3 6.4 6.5 6.6 3.3.2 Multi-Dimensional Trajectories ..............................73 3.3.3 Multi-Segment Trajectories ..................................74 3.3.4 Interpolation of Orientation in 3D ..........................75 3.3.5 Cartesian Motion in 3D ......................................77 Application: Inertial Navigation.....................................79 3.4.1 Gyroscopes ..................................................79 3.4.2 Accelerometers .............................................81 3.4.3 Magnetometers ...............................................85 3.4.4 Sensor Fusion ...............................................87 Wrapping Up .........................................................90 Further Reading .....................................................90 Exercises ...........................................................91 Part II Mobile Robots...............................................93 Mobile Robot Vehicles ...............................................99 Wheeled Mobile Robots ............................................. 99 4.1.1 Car-Like Mobile Robots ......................................99 4.1.2 Differentially-Steered Vehicle ............................ 109 4.1.3 Omnidirectional Vehicle ....................................112 Flying Robots ..................................................... 114 Advanced Topics ................................................... 119 4.3.1 Nonholonomic and Under-Actuated Systems ................................ 119 Wrapping Up ...................................................... 121 Further Reading ................................................... 122 Toolbox and MATLAB Notes .......................................... 123 Exercises ........................................................ 123 Navigation ........................................................ 125 Reactive Navigation ............................................... 126 5.1.1 Braitenberg Vehicles ...................................... 126 5.1.2 Simple Automata........................................... 128 Map-Based Planning ................................................ 130 5.2.1 Distance Transform ........................................ 130 5.2.2 D* ........................................................ 134 5.2.3 Introduction to Roadmap Methods ........................... 136 5.2.4 Probabilistic Roadmap Method (PRM) ........................ 137 5.2.5 Lattice Planner ........................................... 140 5.2.6 Rapidly-Exploring Random Tree (RRT) ........................144 Wrapping Up ........................................................146 Further Reading ....................................................147 Resources...........................................................148 MATLAB Notes .......................................................148 Exercises ..........................................................148 Localization .......................................................151 Dead Reckoning ................................................... 155 6.1.1 Modeling the Vehicle .................................155 6.1.2 Estimating Pose ............................................157 Localizing with a Map ..............................................160 Creating a Map .....................................................165 Localization and Mapping............................................167 Rao-Blackwellized SLAM .............................................169 Pose Graph SLAM ....................................................170 Contents xix 6.7 Sequential Monte-Carlo Localization .............................. 175 6.8 Application: Scanning Laser Rangefinder ............................ 178 Laser Odometry .................................................... 179 Laser-Based Map Building .......................................... 181 Laser-Based Localization........................................... 182 6.9 Wrapping Up ........................................................182 Further Reading ................................................... 183 Toolbox and MATLAB Notes ..................,.......................185 Exercises ....................................................... 185 Part ill Arm-Type Robots ........................................ 189 7 Robot Arm Kinematics ............................................... 193 7.1 Forward Kinematics ................................................ 193 7.1.1 2-Dimensional (Planar) Robotic Arms .. ................... 194 7.1.2 3-Dimensional Robotic Arms ............................... 196 7.2 Inverse Kinematics............................................... 205 7.2.1 2-Dimensional (Planar) Robotic Arms.........................205 7.2.2 3-Dimensional Robotic Arms ............................... 207 7.3 Trajectories ..................................................... 211 7.3.1 Joint-Space Motion .........................................211 7.3.2 Cartesian Motion........................................... 214 7.3.3 Kinematics in Simulink .....................................214 7.3.4 Motion through a Singularity ............................ 215 7.3.5 Configuration Change .......................................216 7.4 Advanced Topics ................................................... 217 7.4.1 Joint Angle Offsets ........................................217 7.4.2 Determining Denavit-Hartenberg Parameters ..................217 7.4.3 Modified Denavit-Hartenberg Parameters .....................218 7.5 Applications ...................................................... 220 7.5.1 Writing on a Surface ................................... 220 7.5.2 A Simple Walking Robot ................................. 221 7.6 Wrapping Up .........................................................225 Further Reading .................................................. 226 MATLAB and Toolbox Notes .......................................... 227 Exercises ........................................................ 227 8 Manipulator Velocity............................................ 229 8.1 Manipulator Jacobian ...............;.................... ...... 229 8.1.1 Jacobian in the World Coordinate Frame .....................229 8.1.2 Jacobian in the End-Effector Coordinate Frame ..............232 8.1.3 Analytical Jacobian ........................................232 8.2 Jacobian Condition and Manipulability ............................ 234 8.2.1 Jacobian Singularities .................................... 234 8.2.2 Manipulability ........................................ 235 8.3 Resolved-Rate Motion Control ........................................237 8.3.1 Jacobian Singularity .................................. 240 8.4 Under- and Over-Actuated Manipulators ............................ 240 8.4.1 Jacobian for Under-Actuated Robot...........................241 8.4.2 Jacobian for Over-Actuated Robot ....................... 242 8.5 Force Relationships ............................................. 244 8.5.1 Transforming Wrenches to Joint Space .......................244 8.5.2 Force Ellipsoids ...........................................244 8.6 Inverse Kinematics: a General Numerical Approach ................... 245 8.6.1 Numerical Inverse Kinematics ........................... 245 xx Contents 8.7 Advanced Topics ....................................................247 8.7.1 Computing the Manipulator Jacobian Using Twists ............247 8.8 Wrapping Up ........................................................247 Further Reading ...................................................248 MATLAB and Toolbox Notes ..........................................248 Exercises .........................................................248 9 Dynamics and Control ...............................................251 9.1 Independent Joint Control ..........................................251 9.1.1 Actuators ..................................................251 9.1.2 Friction ...................................................252 9.1.3 Effect of the Link Mass ....................................253 9.1.4 Gearbox ....................................................254 9.1.5 Modeling the Robot Joint ...................................255 9.1.6 Velocity Control Loop ......................................257 9.1.7 Position Control Loop ......................................261 9.1.8 Independent Joint Control Summary...........................262 9.2 Rigid-Body Equations of Motion .....................................263 9.2.1 Gravity Term ...............................................264 9.2.2 Inertia Matrix............................................ 266 9.2.3 Coriolis Matrix.............................................267 9.2.4 Friction ...................................................268 9.2.5 Effect of Payload ..........................................268 9.2.6 Base Force .................................................269 9.2.7 Dynamic Manipulability .....................................269 9.3 Forward Dynamics ...................................................271 9.4 Rigid-Body Dynamics Compensation ...................................272 9.4.1 Feedforward Control ........................................273 9.4.2 Computed Torque Control ....................................274 9.4.3 Operational Space Control...................................275 9.5 Applications .......................................................276 9.5.1 Series-Elastic Actuator (SEA) ..............................276 9.6 Wrapping Up ........................................................278 Further Reading ...................................................278 Exercises .........................................................280 Part IV Computer Vision ...........................................283 10 Light and Color ....................................................287 10.1 Spectral Representation of Light ...................................287 10.1.1 Absorption .................................................289 10.1.2 Reflectance ................................................290 10.1.3 Luminance ..................................................290 10.2 Color ..............................................................291 10.2.1 The Human Eye ..............................................292 10.2.2 Measuring Color ............................................294 10.2.3 Reproducing Colors .........................................295 10.2.4 Chromaticity Space .........................................298 10.2.5 Color Names ................................................300 10.2.6 Other Color and Chromaticity Spaces ........................301 10.2.7 Transforming between Different Primaries....................304 10.2.8 What Is White? .............................................306 10.3 Advanced Topics ....................................................306 10.3.1 Color Temperature ..........................................306 10.3.2 Color Constancy ............................................307 Contents xxi 10.3.3 White Balancing ............................................308 10.3.4 Color Change Due to Absorption ............................308 10.3.5 Dichromatic Reflectance .................................. 310 10.3.6 Gamma .................................................. 310 10.4 Application: Color Image .......................................... 312 10.4.1 Comparing Color Spaces .................................---312 10.4.2 Shadow Removal ......................’.....•................313 10.5 Wrapping Up ......................................................... 315 Further Reading ...................................................316 Data Sources ......................................................316 Exercises .......................................................... . 317 11 Image Formation ................................................. 319 11.1 Perspective Camera .................................................319 11.1.1 Perspective Projection .................................... 319 11.1.2 Modeling a Perspective Camera ............................ 322 11.1.3 Discrete Image Plane ..................................... 324 11.1.4 CameraMatrix..............................,............... 325 11.1.5 Projecting Points ................................... 327 11.1.6 Lens Distortion ............................................330 11.2 Camera Calibration ..................................................331 11.2.1 Homogeneous Transformation Approach.........................331 11.2.2 Decomposing the Camera Calibration Matrix..........................................333 11.2.3 Pose Estimation ....................................... 334 11.2.4 Camera Calibration Toolbox ................................. . 335 11.3 Wide Field-of-View Imaging ........................................ 336 11.3.1 Fisheye Lens Camera ...................................... 337 11.3.2 Catadioptric Camera.........................................340 11.3.3 Spherical Camera ........................................... 342 11.4 Unified Imaging .....................................................344 11.4.1 Mapping Wide-Angle Images to the Sphere ....................345 11.4.2 Mapping from the Sphere to a Perspective Image .............347 11.5 Novel Cameras ...................................................... 348 11.5.1 Multi-Camera Arrays ........................................348 11.5.2 Light-Field Cameras ...................................... 348 11.6 Advanced Topics ................................................... 350 11.6.1 Projecting 3D Lines and Quadrics............................350 11.6.2 Nonperspective Cameras ................... ................ 352 11.7 Wrapping Up .................................................... 353 Further Reading and Resources ......................................354 Toolbox Notes .................................................... 355 Exercises ..................................... ...................356 12 Images and Image Processing ........................................ 359 12.1 Obtaining an Image ................................................ 359 12.1.1 Images from Files ........................................ 359 12.1.2 Images from an Attached Camera ....................... 363 12.1.3 Images from a Movie File ...................................365 12.1.4 Images from the Web ...................................... 366 12.1.5 Images from Maps.................................... 367 12.1.6 Images from Code ..................................... 367 12.2 Image Histograms ............................................. 369 12.3 Monadic Operations ............................................. 370 xxii Contents 12.4 Diadic Operations .................................................372 12.5 Spatial Operations ................................................376 12.5.1 Linear Spatial Filtering ..................................376 12.5.2 Template Matching .........................................387 12.5.3 Nonlinear Operations ......................................392 12.6 Mathematical Morphology ......................................... 393 12.6.1 Noise Removal .............................................396 12.6.2 Boundary Detection ........................................398 12.6.3 Hit or Miss Transform .....................................398 12.6.4 Distance Transform ...................................... 399 12.7 Shape Changing ....................................................401 12.7.1 Cropping ..................................................401 12.7.2 Image Resizing.............................................402 12.7.3 Image Pyramids............................................ 403 12.7.4 Image Warping .............................................404 12.8 Wrapping Up .......................................................407 Further Reading ...................................................407 Sources of Image Data .............................................409 MATLAB Notes ......................................................409 General Software Tools ............................................409 Exercises .........................................................410 13 Image Feature Extraction...........................................413 13.1 Region Features ...................................................415 13.1.1 Classification ............................................415 13.1.2 Representation............................................ 424 13.1.3 Description................................................427 13.1.4 Summary ...................................................437 13.2 Line Features......................................................438 13.2.1 Summary ...................................................443 13.3 Point Features ................................................... 443 13.3.1 Classical Corner Detectors ................................443 13.3.2 Scale-Space Corner Detectors ..............................449 13.4 Wrapping Up .......................................................454 MATLAB Notes ......................................................454 Further Reading ...................................................455 Exercises .........................................................457 14 Using Multiple Images .............................................459 14.1 Feature Correspondence ............................................460 14.2 Geometry of Multiple Views ........................................464 14.2.1 The Fundamental Matrix ....................................466 14.2.2 The Essential Matrix ......................................468 14.2.3 Estimating the Fundamental Matrix from Real Image Data.......................................470 14.2.4 Planar Homography .........................................474 14.3 Stereo Vision .....................................................479 14.3.1 Sparse Stereo .............................................479 14.3.2 Dense Stereo Matching......................................483 14.3.3 Peak Refinement ...........................................489 14.3.4 Cleaning up and Reconstruction.............................491 14.3.5 3D Texture Mapped Display .................................494 14.3.6 Anaglyphs..................................................495 14.3.7 Image Rectification .......................................496 14.4 Bundle Adjustment .................................................497 Contents xxiii 14.5 Point Clouds ....................... 14.5.1 Fitting a Plane ........ 14.5.2 Matching Two Sets of Points , 14.6 Structured Light ................... 14.7 Applications ............... 14.7.1 Perspective Correction .... 14.7.2 Mosaicing ................. 14.7.3 Image Matching and Retrieval 14.7.4 Visual Odometry ........... 14.8 Wrapping Up ........................ MATLAB and Toolbox Notes .......... Further Reading ................... Resources.......................... Exercises ........................... 503 503 505 507 509 509 512 514 520 523 524 524 528 529 Part V Robotics, Vision and Control 15 Vision-Based Control ............... 15.1 Position-Based Visual Servoing ..... 15.2 Image-Based Visual Servoing ....... 15.2.1 Camera and Image Motion . 15.2.2 Controlling Feature Motion . 15.2.3 Estimating Feature Depth .. 15.2.4 Performance Issues ........ 15.3 Using Other Image Features ......... 15.3.1 Line Features ............. 15.3.2 Circle Features ........... 15.3.3 Photometric Features ...... 15.4 Wrapping Up ........................ Further Reading ................... Exercises ......................... 533 537 538 541 542 547 551 554 556 556 557 559 560 560 562 16 Advanced Visual Servoing .. 16.1 XY/Z-Partitioned IBVS 16.2 IBVS Using Polar Coordinates 16.3 IBVS for a Spherical Camera . 16.4 Applications . .. ........... 16.4.1 Arm-Type Robot ... 16.4.2 Mobile Robot ...... 16.4.3 Aerial Robot....... 16.5 Wrapping Up .......... Further Reading ........... Resources.................. Exercises ................. 565 565 568 570 572 572 573 576 578 578 579 579 Appendices .......................................................581 A Installing the Toolboxes ..........................................583 B Linear Algebra Refresher ..........................................587 C Geometry ........................................................ 595 D Lie Groups and Algebras ...........................................611 E Linearization, Jacobians and Hessians............................ 617 F Solving Systems of Equations ......................................621 G Gaussian Random Variables .........................................631 H Kalman Filter .....................................................635 I Graphs .......................................................... 641 J Peak Finding ......................................................645 xxiv Contents Bibliography.........................................................649 Index ...............................................................663 Index of People .....................................................663 Index of Functions, Classes and Methods .............................664 General Index .......................................................669
any_adam_object 1
author Corke, Peter I. 1959-
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author_sort Corke, Peter I. 1959-
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discipline Maschinenbau / Maschinenwesen
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edition Second, completely revised, extended and updated edition
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physical xxix, 693 Seiten Illustrationen, Diagramme 23.5 cm x 15.5 cm
publishDate 2017
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publishDateSort 2017
publisher Springer
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series Springer Tracts in Advanced Robotics
series2 Springer Tracts in Advanced Robotics
spellingShingle Corke, Peter I. 1959-
Robotics, vision and control fundamental algorithms in MATLAB
Springer Tracts in Advanced Robotics
Roboterarm (DE-588)4507425-2 gnd
SIMULINK (DE-588)4480546-9 gnd
Robotik (DE-588)4261462-4 gnd
Maschinelles Sehen (DE-588)4129594-8 gnd
Visual servoing (DE-588)7719524-3 gnd
Bahnplanung (DE-588)4267628-9 gnd
Mobiler Roboter (DE-588)4191911-7 gnd
MATLAB (DE-588)4329066-8 gnd
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(DE-588)4129594-8
(DE-588)7719524-3
(DE-588)4267628-9
(DE-588)4191911-7
(DE-588)4329066-8
title Robotics, vision and control fundamental algorithms in MATLAB
title_auth Robotics, vision and control fundamental algorithms in MATLAB
title_exact_search Robotics, vision and control fundamental algorithms in MATLAB
title_full Robotics, vision and control fundamental algorithms in MATLAB Peter Corke
title_fullStr Robotics, vision and control fundamental algorithms in MATLAB Peter Corke
title_full_unstemmed Robotics, vision and control fundamental algorithms in MATLAB Peter Corke
title_short Robotics, vision and control
title_sort robotics vision and control fundamental algorithms in matlab
title_sub fundamental algorithms in MATLAB
topic Roboterarm (DE-588)4507425-2 gnd
SIMULINK (DE-588)4480546-9 gnd
Robotik (DE-588)4261462-4 gnd
Maschinelles Sehen (DE-588)4129594-8 gnd
Visual servoing (DE-588)7719524-3 gnd
Bahnplanung (DE-588)4267628-9 gnd
Mobiler Roboter (DE-588)4191911-7 gnd
MATLAB (DE-588)4329066-8 gnd
topic_facet Roboterarm
SIMULINK
Robotik
Maschinelles Sehen
Visual servoing
Bahnplanung
Mobiler Roboter
MATLAB
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