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SUMMARY:Estimation of the reliability of detecting linear point structures
  in two-dimensional distributions of experimental data based on the Hough 
 transform
DTSTART;VALUE=DATE-TIME:20261030T101500Z
DTEND;VALUE=DATE-TIME:20261030T103000Z
DTSTAMP;VALUE=DATE-TIME:20261023T224017Z
UID:indico-contribution-6389@cern.ch
DESCRIPTION:Speakers: Amina Guseinova ()\nUnusual rectangular structures w
 ere observed for the first time using a resulting fragment mass–mass mat
 rix in experiments on the FOBOS spectrometer studying the spontaneous fiss
 ion of 248Cm and 252Cf nuclei. These structures are associated with a larg
 e "missing" mass and are bounded by magic nuclei\, and they were interpret
 ed as a manifestation of a new exotic decay mode – triple collinear clus
 ter decay (TCCD). These pioneering results have been repeatedly confirmed 
 and refined in a series of subsequent experiments. At the stage of interpr
 eting the obtained data\, an assessment of the statistical reliability of 
 the aforementioned linear structures in the mass–mass distribution of th
 e registered fragments is required.\n\nThis report presents the results of
  a comparison between assessments of the statistical reliability of point 
 linear structures using the standard Hough transform and a modified Hough 
 transform that offers greater robustness to noise and outliers. In the cla
 ssical Hough method\, each experimental point is treated as a point source
  of votes in parameter space. To reduce the influence of extreme points\, 
 random points are generated inside a bounding circle\, which lowers the pr
 obability of false maxima along diagonal directions. However\, this approa
 ch does not account for finite measurement accuracy. In this work\, a Houg
 h method has been implemented in a way that each experimental point is rep
 resented by a circle whose radius corresponds to the measurement uncertain
 ty. The sought line is then treated as a band of finite thickness (greater
  than one pixel). Such a band may fully or partially overlap the "smeared"
  point. The simulation was carried out on a 100×100 pixel field with appr
 oximately 25 random points generated. During voting\, partial intersection
 s of the line band with the uncertainty regions of the points were taken i
 nto account. The results of both methods were compared. It is shown that t
 he probability of a random occurrence of linear structures on the plane do
 es not exceed 2% for either method.\n\nhttps://indico.particle.mephi.ru/ev
 ent/626/contributions/6389/
LOCATION:Sevastopol Hotel
URL:https://indico.particle.mephi.ru/event/626/contributions/6389/
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