Watermarking Applications of Krawtchouk–Sobolev Type Orthogonal Moments

In this contribution, we consider the sequence {Hn ( x; q)}n≥0 of monic polynomials orthogonal with respect to a Sobolev-type inner product involving forward difference operators For the first time in the literature, we apply the non-standard properties of {Hn ( x; q)}n≥0 in a watermarking problem....

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Detalhes bibliográficos
Autores: Huertas-Cejudo, Edmundo José, Lastra, Alberto, Soria-Lorente, Anier
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad Loyola Andalucía
Repositorio:Brújula
OAI Identifier:oai:repositorio.uloyola.es:20.500.12412/6384
Acesso em linha:https://hdl.handle.net/20.500.12412/6384
Access Level:acceso abierto
Palavra-chave:Classical Krawtchouk orthogonal polynomials
Krawtchouk–Sobolev type orthogonal polynomials
Watermarking
Steganography
Descrição
Resumo:In this contribution, we consider the sequence {Hn ( x; q)}n≥0 of monic polynomials orthogonal with respect to a Sobolev-type inner product involving forward difference operators For the first time in the literature, we apply the non-standard properties of {Hn ( x; q)}n≥0 in a watermarking problem. Several differences are found in this watermarking application for the non-standard cases (when j > 0) with respect to the standard classical Krawtchouk case λ = µ = 0.