BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gaik Ambartsoumian (University of Texas at Arlington) DTSTART:20210401T160000Z DTEND:20210401T170000Z DTSTAMP:20260423T021157Z UID:Inverse/40 DESCRIPTION:Title: 2D vector tomography with broken rays and stars\nby Gaik Ambartsoumia n (University of Texas at Arlington) as part of International Zoom Inverse Problems Seminar\, UC Irvine\n\n\nAbstract\nMultiple classical works of i ntegral geometry have been dedicated to the reconstruction of vector field s from various integral transforms of such fields\, including the longitud inal ray transform (Doppler transform)\, transverse ray transform\, and th eir integral moments. We consider a generalization of these transforms\, i n which the straight-line path of integration is substituted either by bro ken rays or by stars (a finite union of rays emanating from a common verte x). We present several exact closed-form inversion formulas for certain pa irs of these transforms on 2D compactly supported vector fields in the pla ne\, discuss their properties and present results of numerical simulations . The talk is based on joint work with Mohammad Latifi (University of Ariz ona) and Rohit Mishra (University of Texas at Arlington).\n LOCATION:https://researchseminars.org/talk/Inverse/40/ END:VEVENT END:VCALENDAR