Bandlimited shearlet-type frames with nice duals

• Autores: Philipp Grohs
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 243, Nº 1, 2013, págs. 139-151
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.10.030
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• Resumen

  • The present paper constructs a frame/dual frame pair of shearlet type such that both frames possess the distinctive time�frequency localization properties needed in establishing their desirable approximation properties. Our construction is based on a careful pasting together of two bandlimited shearlet Parseval frames associated with two different frequency cones, inspired by domain decomposition methods used primarily for the solution of PDEs.