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DCREATED:20130525T152150Z
DTSTART:20120503T030000Z
DTEND:20120503T040000Z
PRIORITY:0
SUMMARY:Euclidean Signature Curves
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Department of Mathematics & Statistics=0D=0A=0D=0AThursday, 3 May 2012=0D=0A3.00pm=0D=0AErskine Room 446=0D=0A=0D=0AMark Hickman (University of Canterbury)=0D=0A=0D=0AEuclidean Signature Curves=0D=0A=0D=0AAbstract=0D=0AIn 1998, Calabi et al. suggested the use of signature curves in object recognition problems. In that paper it was claimed that two curves were congruent under a group G if and only if their G-signature curves were identical. For the next decade the research was mainly focused on finding a numerically stable method to compute the signature curve. However in 2009 Musso and Nicolodi produced examples of non-congruent curves that nonetheless had identical Euclidean signature curves.  In this talk, I will simplify the Musso and Nicolodi construction to produce two simple closed curves of the same length that are not congruent which have identical signature curves. I will then give a corrected version of the fundamental "theorem" of the 1998 paper.=0D=0A                           ALL WELCOME=0D=0A=0D=0APlease check back on the Events Calendar on the day of the event to ensure the event is still being held. If the event has been cancelled, it will no longer appear.=0D=0A
LOCATION:Erskine 446
CLASS:PUBLIC
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