Superresolution: an ill-posed problem in Fourier optics

info:eu-repo/semantics/published

On the problems of object restoration and image extrapolation in optics

In this paper we consider the problems of object restoration and image extrapolation, according to the regularization theory of improperly posed problems. In order to take into account the stochastic nature of the noise and to introduce the main concepts of information theory, great attention is devoted to the probabilistic methods of regularization. The kind of the restored continuity is investigated in detail; in particular we prove that, while the image extrapolation presents a Hölder type stability, the object restoration has only a logarithmic continuity. © 1979 American Institute of Physics.

On the regularization of linear inverse problems in Fourier optics

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Applied Inverse Problems in Optics

info:eu-repo/semantics/published

A new inversion procedure for confocal scanning microscopy and other bandlimited signal processing problems

We find a simple analytic expression for the inverse of an infinite matrix related to the problem of data reduction in confocal scanning microscopy and other band-limited signal processing problems. Potential applications of this result to practical problems are outlined. The matrix arises from a sampling expansion approach to the integral equation.

Estimación de valores máximos de lluvia de 24 horas en Río Cuarto (Córdoba)

p.7-13

Nociones matemáticas adquiridas y audición diferenciada: edades 18-24 años

En este estudio, de orden cualitativo, se aplicó un cuestionario a 17 estudiantes con déficit auditivo, 18 a 24 años de edad, para obtener información sobre su comprensión de los números naturales, sus operaciones y sus relaciones básicas. Registrados en papel, los reactivos se presentaron en lengua escrita, con términos sencillos. Se prescindió de intérprete en la lengua de señas mexicana para identificar directamente posibles dificultades de comprensión de los conceptos matemáticos implicados; además, la aspiración de los participantes en el estudio al acceso a un bachillerato en línea impone su dominio de la lengua escrita. Los resultados indican el predominio de un razonamiento aditivo sobre el multiplicativo y, a lo más, una abstracción pseudoempírica en edades que en los normoyentes corresponden a las etapas del pensamiento formal. La escasa y deficiente producción en lengua escrita referida a los reactivos sugiere investigar el empleo del método de logogenia para su adquisición en conjunción con la del conocimiento matemático.

The Russell Cycle. An update and review of trends in zooplankton and fish larvae off Plymouth 1924-2009. Occasional Publication of the Marine Biological Association 24

Regular plankton sampling off Plymouth by the Marine Biological Association (MBA) has been carried out from the early 1900s. Much of the sample analysis and description of the results was carried out by Sir Frederick Russell and Professor Alan Southward (AJS), the latter having completed the organisation and transfer of the paper records to digital files. The current authors have transferred the main data files of AJS on zooplankton and fish larvae to the MBA long-term database (including various editing and checking against original analysis records and published data) together with adding the data for 2002-2009. In this report the updated time-series are reviewed in the context of earlier work, particularly with respect to the Russell Cycle. It is not intended as an exhaustive analysis. Brief details of the sampling and comments on data processing are given in an appendix.