{"614605":{"#nid":"614605","#data":{"type":"event","title":"PhD Proposal by Mukul Sati","body":[{"value":"\u003Cp\u003EPh.D. Thesis Proposal Announcement\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003ETitle: Computing representative shapes for compatible, situated shapes\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003EMukul Sati,\u003C\/p\u003E\r\n\r\n\u003Cp\u003EComputer Science\u0026nbsp;Ph.D. Student,\u003C\/p\u003E\r\n\r\n\u003Cp\u003ESchool of Interactive Computing,\u003C\/p\u003E\r\n\r\n\u003Cp\u003ECollege of Computing,\u003C\/p\u003E\r\n\r\n\u003Cp\u003EGeorgia Institute of Technology\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDate: Wednesday, November 28th, 2018\u003C\/p\u003E\r\n\r\n\u003Cp\u003ETime: 2:00pm to 4:00pm (EDT)\u003C\/p\u003E\r\n\r\n\u003Cp\u003ELocation: TSRB, 222\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003ECommittee:\u003C\/p\u003E\r\n\r\n\u003Cp\u003E----------------\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDr. Jarek Rossignac, (Advisor), School of Interactive Computing, Georgia Institute of Technology\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDr. Greg Turk, School of Interactive Computing, Georgia Institute of Technology\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDr. Concettina Guerra, School of Interactive Computing, Georgia Institute of Technology\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDr. Thomas Kurfess, School of Mechanical Engineering, Georgia Institute of Technology\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003EAbstract:\u003C\/p\u003E\r\n\r\n\u003Cp\u003E----------------\u003C\/p\u003E\r\n\r\n\u003Cp\u003EThe proposed thesis focuses on providing definitions, closed-form expressions and algorithmic solutions for computing averages of sets of shapes and associated standard deviation fields. By shapes, we mean lines, planes, curves, and surfaces. Note that these shapes are situated, a term by which we mean that their scales, orientations, and positions are fixed and important.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003EWe establish sufficient conditions on sets of shapes for which our proposed solutions\u003C\/p\u003E\r\n\r\n\u003Cp\u003Eyield topologically valid results, and call such sets compatible. We propose, study and apply suitable generalizations of the statistical formulations of the average and standard\u0026nbsp;deviation of sets of numbers to sets of compatible shapes. In particular, the solutions proposed extend naturally the popular concept of the medial axis to two and more curves in the plane or in three-dimensions and to two or more surfaces.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"Computing representative shapes for compatible, situated shapes"}],"uid":"27707","created_gmt":"2018-11-26 20:12:53","changed_gmt":"2018-11-26 20:12:53","author":"Tatianna Richardson","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2018-11-28T14:00:00-05:00","event_time_end":"2018-11-28T16:00:00-05:00","event_time_end_last":"2018-11-28T16:00:00-05:00","gmt_time_start":"2018-11-28 19:00:00","gmt_time_end":"2018-11-28 21:00:00","gmt_time_end_last":"2018-11-28 21:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"221981","name":"Graduate Studies"}],"categories":[],"keywords":[{"id":"102851","name":"Phd proposal"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1788","name":"Other\/Miscellaneous"}],"invited_audience":[{"id":"174045","name":"Graduate students"},{"id":"78751","name":"Undergraduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}