The reconstruction of the surface of scatterers with continuous curvature via low-frequency moments

Charalambopoulos, A

dc.contributor.author	Charalambopoulos, A	en
dc.date.accessioned	2014-03-01T01:11:33Z
dc.date.available	2014-03-01T01:11:33Z
dc.date.issued	1995	en
dc.identifier.issn	0272-4960	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11695
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	HARMONIC ACOUSTIC-WAVES	en
dc.subject.other	INVERSE SCATTERING	en
dc.subject.other	RESONANCE REGION	en
dc.title	The reconstruction of the surface of scatterers with continuous curvature via low-frequency moments	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/imamat/54.2.171	en
heal.identifier.secondary	http://dx.doi.org/10.1093/imamat/54.2.171	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	In this work, the reconstruction of the shape of an acoustically soft scatterer from knowledge of the scattering amplitude is examined. It is demonstrated that if we work in the low-frequency region and the scatterer's surface is assumed to have continuous curvature then we can construct polynomial surfaces tending to coincide with the scatterer's surface as their degree increases. The proposed method is stable in such a way that small measurement errors lead to small changes of the polynomial surfaces approximating the scatterer's surface. © 1995 Oxford University Press.	en
heal.publisher	OXFORD UNIV PRESS UNITED KINGDOM	en
heal.journalName	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)	en
dc.identifier.doi	10.1093/imamat/54.2.171	en
dc.identifier.isi	ISI:A1995RB18400005	en
dc.identifier.volume	54	en
dc.identifier.issue	2	en
dc.identifier.spage	171	en
dc.identifier.epage	201	en