Edge detection based on Krawtchouk polynomials

Rivero Castillo, Daniel; Pijeira Cabrera, Héctor Esteban; Assunçao, Pedro

Publication:
Edge detection based on Krawtchouk polynomials

dc.affiliation.dpto	UC3M. Departamento de Matemáticas	es
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Análisis Aplicado	es
dc.contributor.author	Rivero Castillo, Daniel
dc.contributor.author	Pijeira Cabrera, Héctor Esteban
dc.contributor.author	Assunçao, Pedro
dc.date.accessioned	2016-07-18T08:07:43Z
dc.date.available	2017-08-16T22:00:07Z
dc.date.issued	2015-08-15
dc.description.abstract	Discrete orthogonal polynomials are useful tools in digital image processing to extract visual object contours in different application contexts. This paper proposes an alternative method that extends beyond classic first-order differential operators, by using the properties of Krawtchouk orthogonal polynomials to achieve a first order differential operator. Therefore, smoothing of the image with a 2-D Gaussian filter is not necessary to regularize the ill-posed nature of differentiation. Experimentally, we provide simulation results which show that the proposed method achieves good performance in comparison with commonly used algorithms.	es
dc.description.sponsorship	The authors dedicate this work to the memory of their friend Pablo González Vera. First and second authors work was partially supported by Ministerio de Economía y Competitividad of Spain, under grant MTM2012-36372-C03-01.	en
dc.format.extent	8
dc.format.mimetype	application/pdf
dc.identifier.bibliographicCitation	Journal of Computational and Applied Mathematics, v. 284, 2015, pp. 244-250 (OrthoQuad 2014: International Symposium on Orthogonality, Quadrature and Related Topics).	en
dc.identifier.isbn	0377-0427
dc.identifier.publicationfirstpage	244
dc.identifier.publicationlastpage	250
dc.identifier.publicationtitle	Journal of Computational and Applied Mathematics	en
dc.identifier.publicationvolume	284
dc.identifier.uri	https://hdl.handle.net/10016/23357
dc.identifier.uxxi	CC/0000024371
dc.language.iso	eng
dc.publisher	Elsevier	en
dc.relation.eventdate	January 20-24, 201	en
dc.relation.eventplace	Puerto de la Cruz, Tenerife, Spain	en
dc.relation.eventtitle	OrthoQuad 2014: An International Symposium on Orthogonality, Quadrature and Related Topics	en
dc.relation.projectID	Gobierno de España. MTM2012-36372-C03-01	es
dc.relation.publisherversion	http://dx.doi.org/10.1016/j.cam.2014.11.017
dc.rights	© Elsevier 2015	en
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRights	open access
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.eciencia	Matemáticas	es
dc.subject.other	Image processing	en
dc.subject.other	Edge detection	en
dc.subject.other	Krawtchouk polynomials	en
dc.subject.other	Discrete orthogonal polynomials	en
dc.title	Edge detection based on Krawtchouk polynomials	en
dc.type	conference paper	*
dc.type.hasVersion	AM	*
dspace.entity.type	Publication