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Algorithmic Foundation of Robotics VII: Selected Contributions of the Seventh International Workshop on the Algorithmic Foundations of Robotics PDF

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Springer Tracts in Advanced Robotics Volume 47 Editors:BrunoSiciliano·OussamaKhatib·FransGroen Srinivas Akella, Nancy M. Amato, Wesley H. Huang, Bud Mishra (Eds.) Algorithmic Foundation of Robotics VII Selected Contributions of the Seventh International Workshop on the Algorithmic Foundations of Robotics ABC ProfessorBrunoSiciliano, Dipartimento diInformatica eSistemistica, Università diNapoli Federico II, ViaClaudio21,80125Napoli,Italy,E-mail:[email protected] ProfessorOussamaKhatib,RoboticsLaboratory,DepartmentofComputerScience,StanfordUniversity, Stanford,CA94305-9010,USA,E-mail:[email protected] Professor Frans Groen, Department of Computer Science, Universiteit van Amsterdam, Kruislaan 403, 1098SJAmsterdam,TheNetherlands,E-mail:[email protected] Editors SrinivasAkella WesleyH.Huang DepartmentofComputerScience AppliedPerception,Inc. RensselaerPolytechnicInstitute 220ExecutiveDrive,Suite400 110EighthStreet CranberryTownship,PA16066 Troy,NewYork12180 E-Mail:[email protected] USA E-Mail:[email protected] BudMishra DepartmentofComputerScience NancyM.Amato NewYorkUniversity DepartmentofComputerScience CourantInst,251MercerSt TexasA&MUniversity NewYork,NY10012 CollegeStation,Texas77843 USA USA E-Mail:[email protected] E-Mail:[email protected] ISBN978-3-540-68404-6 e-ISBN978-3-540-68405-3 DOI 10.1007/978-3-540-68405-3 SpringerTractsinAdvancedRobotics ISSN1610-7438 LibraryofCongressControlNumber:2008927063 (cid:2)c2008Springer-VerlagBerlinHeidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationor partsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,in itscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliablefor prosecutionundertheGermanCopyrightLaw. Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply, evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsand regulationsandthereforefreeforgeneraluse. Typeset&CoverDesign:ScientificPublishingServicesPvt.Ltd.,Chennai,India. Printedinacid-freepaper 543210 springer.com EditorialAdvisoryBoard HermanBruyninckx,KULeuven,Belgium RajaChatila,LAAS,France HenrikChristensen,GeorgiaInstituteofTechnology,USA PeterCorke,CSIRO,Australia PaoloDario,ScuolaSuperioreSant’AnnaPisa,Italy RüdigerDillmann,UniversitätKarlsruhe,Germany KenGoldberg,UCBerkeley,USA JohnHollerbach,UniversityofUtah,USA MakotoKaneko,OsakaUniversity,Japan LydiaKavraki,RiceUniversity,USA SukhanLee,SungkyunkwanUniversity,Korea TimSalcudean,UniversityofBritishColumbia,Canada SebastianThrun,StanfordUniversity,USA YangshengXu,ChineseUniversityofHongKong,PRC Shin’ichiYuta,TsukubaUniversity,Japan N SunTdAeRrth(SeparuisnpgiecresTorfacEtUsRinONAd(vEaunrcoepdeaRnoRboobtioctsic)shRaessebaerecnhpNreotmwootrekd) RERuersoOepaeracBnhROO************TICS NetworkU E Foreword By the dawn of the new millennium, robotics has undergone a major transfor- mation in scope and dimensions. This expansion has been brought about by the maturity of the field and the advances in its related technologies. From a largely dominant industrial focus, robotics has been rapidly expanding into the challenges of the human world. The new generation of robots is expected to safely and dependably co-habitat with humans in homes, workplaces,and com- munities, providing support in services, entertainment, education, healthcare, manufacturing, and assistance. Beyond its impact on physical robots, the body of knowledge robotics has producedisrevealingamuchwiderrangeofapplicationsreachingacrossdiverse research areas and scientific disciplines, such as: biomechanics, haptics, neuro- sciences, virtual prototyping, animation, surgery, and sensor networks among others.Inreturn,thechallengesofthenew emergingareasareprovinganabun- dant source of stimulation and insights for the field of robotics. It is indeed at the intersection of disciplines that the most striking advances happen. The goal of the series of Springer Tracts in Advanced Robotics (STAR) is to bring, in a timely fashion, the latest advances and developments in robotics on thebasisoftheirsignificanceandquality.Itisourhopethatthewiderdissemina- tion of researchdevelopments will stimulate more exchanges and collaborations among the research community and contribute to further advancement of this rapidly growing field. This volume is the outcome of the seventh edition of the biennial Workshop Algorithmic Foundations of Robotics (WAFR). Edited by S. Akella, N.M. Am- ato, W.H. Huang, and B. Mishra, the book offers a collection of a broad range of topics in advanced robotics. The contents of these contributions represent a cross-section of the current state of research from one particular aspect: algo- rithms,andhowtheyreflectonthetheoreticalbasisofsubsequentdevelopments. Validation of algorithms, design concepts, or techniques is the common thread running through this focused collection. VIII Foreword Rich by topics and authoritative contributors, WAFR culminates with this unique reference on the current developments and new directions in the field of algorithmic foundations. A fine addition to the series! Naples, Italy Bruno Siciliano April 2008 STAR Editor Preface Algorithms are a fundamental component of robotic systems: they control or reason about motion and perception in the physical world. They receive input from noisy sensors, consider geometric and physical constraints, and operate on the world through imprecise actuators. The design and analysis of robot algorithms therefore raises a unique combination of questions in control theory, computational and differential geometry, and computer science. The Workshop on the Algorithmic Foundations of Robotics (WAFR) is a multi-disciplinarysingle-trackworkshopwithsubmittedpapersandinvitedtalks on advances on algorithmic problems in robotics. It has been held every other year since 1994 and has an established reputation as one of the most (if not the most) important venues for presenting algorithmic work related to robotics. As youwillsee,the topicsofinterestinWAFRareverybroadsincethe focus isonalgorithmdevelopmentandanalysisratherthanonspecificproblemsorap- plications. Increasingly, robotics algorithms are finding use in areas far beyond the traditional scope of robots. One of the most important aspects of WAFR is its informal atmosphere which allows a frank exchange of new, previously unpublished ideas. In particular,WAFR has been an occasionfor graduate stu- dentstomeetandinteractwithmoreseniorresearcherswhomanytimesarenot accessible to students at the larger robotics conferences. The seventh WAFR was held July 16–18, 2006, in New York City at the Tribeca Grand Hotel in lower Manhattan.WAFR 2006 had a record number of submissionsandarecordattendancewith106registrants,justover50students. Inadditiontothe 32contributedpaperscontainedinthisvolume,the workshop featured six invited speakers, including both researchers who defined the field and who are today defining the frontiers of the field – in several cases the same people: James Gimzewski (UCLA), Jessica K. Hodgins (CMU), Jean-Claude Latombe (Stanford), Toma´s Lozano-P´erez (MIT), Jacob Schwartz (NYU), and Sebastian Thrun (Stanford). WAFR 2006 had a very strong program of 32 contributed technical papers. Thesepaperswereselectedfrom62submissionsbyarigorousevaluationprocess, with each submission being reviewed by at least 3 members of the program X Preface committee. The authors of selected papers were invited to submit expanded versionsoftheirWAFR2006paperstoaspecialissueoftheInternationalJournal of Robotics Research. We areextremely gratefulto the programcommittee for their carefuland in- sightfulreviews.Theprogramcommitteememberswere:O.BurchanBayazit,An- tonioBicchi,GregChirikjian,MikeErdmann,DanHalperin,HirohisaHirukawa, Seth Hutchinson, Lydia Kavraki,James Kuffner, Vijay Kumar, Jean-Paul Lau- mond,SteveLaValle,MingLin,YoshiNakamura,DineshPai,ElonRimon,Jack Snoeyink,DezhenSong,FrankvanderStappen,andGauravSukhatme. This meeting would not have been possible without the dedicated work and assistanceofmanyindividualsandorganizations.We havemanythankstogive: to Kay Jones from Texas A&M for overallsupport and logistics; to the student volunteers from Rensselaer and from Texas A&M for their diligent work; to our institutions (NYU, Rensselaer, and Texas A&M) for their support; to the NationalScienceFoundationforthestudenttravelgrantsthatprovidedsupport to 38 students; to Microsoft for sponsoring the banquet cruise; and, of course, to the WAFR steering committee for their advice and suggestions. Thank you all for making WAFR 2006 a WAFR to remember! Srinivas Akella Nancy M. Amato Wesley H. Huang Bud Mishra Contents Part I: Probabilistic Roadmap Methods (PRMs) Quantitative Analysis of Nearest-Neighbors Search in High-Dimensional Sampling-Based Motion Planning Erion Plaku, Lydia E. Kavraki 3 Path Deformation Roadmaps L´eonard Jaillet, Thierry Sim´eon 19 Workspace-Based Connectivity Oracle: An Adaptive Sampling Strategy for PRM Planning Hanna Kurniawati, David Hsu 35 Incremental Map Generation (IMG) Dawen Xie, Marco Morales, Roger Pearce, Shawna Thomas, Jyh-Ming Lien, Nancy M. Amato 53 Part II: Planning for Movable and Moving Obstacles Caging Polygons with Two and Three Fingers Mostafa Vahedi, A. Frank van der Stappen 71 An Effective Framework for Path Planning Amidst Movable Obstacles Dennis Nieuwenhuisen, A. Frank van der Stappen, Mark H. Overmars 87 Planning the Shortest Safe Path Amidst Unpredictably Moving Obstacles Jur van den Berg, Mark Overmars 103 XII Contents Planning Among Movable Obstacles with Artificial Constraints Mike Stilman, James J. Kuffner 119 Part III: Navigation, SLAM, and Error Models for Filtering/Control Inferring and Enforcing Relative Constraints in SLAM Kristopher R. Beevers, Wesley H. Huang 139 Second-Order Theory of Error Propagation on Motion Groups Yunfeng Wang, Gregory S. Chirikjian 155 Extensive Representations and Algorithms for Nonlinear Filtering and Estimation Ethan Stump, Ben Grocholsky, Vijay Kumar 169 Part IV: Geometric Computations and Applications An Experimental Study of Weighted k-Link Shortest Path Algorithms Ovidiu Daescu, Joseph S.B. Mitchell, Simeon Ntafos, James D. Palmer, Chee K. Yap 187 Low-Discrepancy Curves and Efficient Coverage of Space Subramanian Ramamoorthy, Ram Rajagopal, Qing Ruan, Lothar Wenzel 203 The Snowblower Problem Esther M. Arkin, Michael A. Bender, Joseph S.B. Mitchell, Valentin Polishchuk 219 Stratified Deformation Space and Path Planning for a Planar Closed Chain with Revolute Joints L. Han, L. Rudolph, J. Blumenthal, I. Valodzin 235 Part V: Motion Planning Competitive Disconnection Detection in On-Line Mobile Robot Navigation Yoav Gabriely, Elon Rimon 253 A Simple Path Non-existence Algorithm Using C-Obstacle Query Liangjun Zhang, Young J. Kim, Dinesh Manocha 269

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