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The work summarizes published results from multiple chapters, focused on introducing relevant mathematical concepts in dedicated sections and building the research narrative across consecutive years at the Lille Computer Science Laboratory. It details supervision, funding sources, and includes acknowledgements and foreword material outlining the research scope, teaching role, and contribution context within computer graphics and shape analysis.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/reeb-graph-based-3d-shape-modeling-and-applications/142312/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/reeb-graph-based-3d-shape-modeling-and-applications/142312.png","ImageObject",300,407,{"name":92,"@type":93},"Tawan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the central topic of this thesis?","Question",{"text":113,"@type":114},"The thesis focuses on Reeb graph based 3D shape modeling and its applications.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which period and institution does the foreword describe?",{"text":118,"@type":114},"It reviews research conducted from October 2005 to October 2008 at the Computer Science Laboratory of Lille.",{"name":120,"@type":111,"acceptedAnswer":121},"What parts of the manuscript contain the main published results?",{"text":122,"@type":114},"The manuscript presents most published results across chapters 5 and 6, chapter 7, and chapter 8.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},142312,1787678529,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145,"preview_page_count":4},2336475104042,"https://ap-avatar.wpscdn.com/avatar/22000c4c32af1715be0?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786537525561427321","Numéro d'ordre: 4218  \nUniversité des Sciences et Techonologies de Lille Laboratoire d'Informatique Fondamentale de Lille  \nThèse  \nPrésentée en vue d'obtenir le grade de Docteur, spécialité Informatique  \npar  \nJulien Tierny  \nReeb graph based 3D shape modeling and applications  \nThèse soutenue le 2 Octobre 2008 devant le jury composé de :  \nMme Sophie Tison  \nM. Atilla Baskurt  \nM. Bruno Lévy  \nM. Claude Labit  \nM. Anuj Srivastava  \nM. Mohamed Daoudi  \nM. Jean-Philippe Vandeborre  \nProfesseur, USTL  \nProfesseur, INSA Lyon  \nDirecteur de Recherche, INRIA Nancy Grand Est  \nDirecteur de Recherche, INRIA Rennes Professeur, Florida State University  \nProfesseur, TELECOM Lille 1  \nMaître de Conférences, TELECOM Lille 1  \n(Présidente)  \n(Rapporteur)  \n(Rapporteur)(Examinateur)  \n(Examinateur)(Directeur)(Co-encadrant)  \nUniversité des Sciences et Techonologies de Lille Laboratoire d'Informatique Fondamentale de Lille UMR USTL/CNRS 8022 – Bat. M3 Cité Scientifique – 59655 Villeneuve d'Ascq Cedex – FRANCE Tel: +33 (0)3 28 77 85 41 – Fax: +33 (0)3 28 77 85 37  \nThis manuscript is dedicated to all those who supported me along the years.  \n“ Any problem which is non-linear in character, which involves more than one coordinate system or more than one variable, or where structure is initially defined in the large, is likely to require considerations of topology and group theory for its solution. In the solution of such problems classical analysis will frequently appear as an instrument in the small, integrated over the whole problem with the aid of topology or group theory. ”  \nMarston Morse, 1934 (Mor34)  \nForeword  \nThis manuscript reviews my research work during the last three years  \n(from October 2005 to October 2008) at the Computer Science Laboratory of Lille (LIFL) for the obtention of a Ph.D. in Computer Science.  \nThis work has been supervised by Dr. Jean-Philippe Vandeborre and Pr. Mohamed Daoudi (Institut TELECOM) . It has been mainly funded through a French Ministry for Research Ph.D. grant and partially funded by the European Network of Excellence Delos (No. 507618) and through an ANR grant (Agence Nationale de la Recherche, No 07-MDCO-015) .  \nDuring this period, I also held a teaching assistant position (Moniteur de l'Enseignement Supérieur) at the Computer Science department (UFRIEEA) of the University of Sciences and Technologies of Lille.  \nThis manuscript presents most of the published results of this research work (chapters 5 and 6: (TVD06b, TVD06a, TVD08a), chapter 7: (TVD07a, TVD08c) and chapter 8: (TVD07b, TVD08b) .  \nThe reading of this manuscript only requires basic background in Computer Science and algorithmic; most of the mathematical notions are introduced in a dedicated chapter.  \nAcknowledgements  \nFirst of all, I would like to thank my two thesis advisors for their trust, and more specifically for having made me discover scientific research and the two research fields of top excitement (!) that are Shape Analysis and Computer Graphics. During these three years, Pr. Mohamed Daoudi has been a mentor to me, even more than at a pure scientific level. I would like to express my gratitude to Dr. Jean-Philippe Vandeborre for his outstanding human qualities and its unconditional encouragements which definitely helped me mutate into a grown-up researcher.  \nThen, I would like to thank the members of the committee and especially the reviewers of the manuscript for having accepted this significant task (in the middle of the summer!): M. Atilla Baskurt (Professor at INSA Lyon)– who assessed his interest in my work since the very beginning of my thesis, presented me to the community and who finally accepted to review my manuscript despite his time consuming responsabilities – and M. Bruno Lévy (INRIA Research Director)– who also showed early his interest in my work, afforded me his trust in several occasions and who finally also kindly accepted to sacrifice his precious time for the manuscript reviewing. I also thank the committee","cbCaik8skCNnAJYF","https://ap.wps.com/l/cbCaik8skCNnAJYF","pdf",17243601,280,"English","# Foreword\n## Research period and supervision\n## Scope of published results\n# Acknowledgements\n## Thesis committee and reviewers\n## Advisors and research community","[{\"question\":\"What is the central topic of this thesis?\",\"answer\":\"The thesis focuses on Reeb graph based 3D shape modeling and its applications.\"},{\"question\":\"Which period and institution does the foreword describe?\",\"answer\":\"It reviews research conducted from October 2005 to October 2008 at the Computer Science Laboratory of Lille.\"},{\"question\":\"What parts of the manuscript contain the main published results?\",\"answer\":\"The manuscript presents most published results across chapters 5 and 6, chapter 7, and chapter 8.\"}]","Reeb graph based 3D shape modeling and applications | PDF",706]