Pina marziliano thesis

Contrary to the popular belief of treating speckle related pixels as noise and.

Pina marziliano thesis

History of Finite Rate of Innovation FRI Sampling, or Sparse Sampling Martin Vetterli In the late 's, we got interested to see if signals which are far from being well modeled as bandlimited could nonetheless be sampled.

Timberdesignmag.com - Pina Marziliano Thesis Writing

The motivation was image processing, where the sinc model and its associated pixels are not a good model, since edges are clearly not bandlimited. However, the curve followed by the edge might be smooth e. An archetypical example is a woodcut picture, which is black and white or 0 and 1with edges that are very sharp, yet the curve, drawn by hand, is smooth.

We started looking at one dimensional signals, and got some initial results in [1], but not very satisfying ones from a math point of view.

Pina Marziliano worked on this topic for her PhD thesis. The breakthrough came when Thierry Blu made the connection to spectral estimation methods, and the annihilation filter, also known in error control coding.

This led to a complete report in [2], published in part as conference papers in [3] [4], and to a patent application [5], all in This all went into a journal paper [6] published init received the IEEE Signal Processing Society Best Paper Award which basically shows how to sample continuous-time parametric classes of signals that are very far from being bandlimited, like sequences of Dirac pulses, and this with various kernels like sinc and Gaussians.

This was a noiseless sampling theorem, equivalent to Shannon sampling, but where position information was key.

Pina Marziliano Thesis

Pina Marziliano's thesis [7], available on-line, gives a complete version of all this. The noisy case was investigated initially by Irena Maravic [8] and then in [9] which gives also a nice overview. The extension to general sampling kernels satisfying the Strang-Fix condition is given in [10].

Now, what is the difference and similarities with compressed sensing CS. Thus, FRI is in the classic sampling tradition of Shannon and the likes.

Pina Marziliano : Research

To be more precise, FRI maps the real line or a real interval to a set of samples or the set of integers, and proves one-to-one maps for certain parametric classes like sets of Diracs. CS maps a finite vector to a smaller vector, and shows invertibility for certain mapping matrices and sparsities.

FRI can be done in a discrete set-up, and then, it is a version of compressed sensing with particular matrices convolution matrices, Fourier matrices, because the sampling is uniform and shift-invariant.

Pina marziliano thesis

It can thus leverage this experience, use the algorithms and the performance bounds e. CS uses a range of different algorithms, but most most proofs rely on random matrices which are not necessarily realistic.

However many practical scenarios encountered in implementations will come down to shift-invariant systems and uniform sampling, since analog front ends are the limiting factor, and these use analog filters that are time-invariant.

References All these papers are online:Pina Marziliano, Frederic Dufaux, Stefan Winkler and Touradj Ebrahimi∗ Genimedia SA, Grand-Chˆene 8 Lausanne, Switzerland {pmarziliano,fdufaux, swinkler,tebrahimi}@timberdesignmag.com ABSTRACT In this paper, we present a no-reference blur metric for im-ages and video.

The blur metric is based on the analysis of the spread of the edges in an image.

Pina Marziliano Thesis Writing

"Supervisor, Associate Professor Pina Marziliano." Thesis (timberdesignmag.com (SP)) -Nanyang Technological University, School of Electrical and Electronic Engineering, Pina Marziliano, Martin Vetterli, Thierry Blu; IEEE Trans. Information Sampling innovations - École Polytechnique Fédérale de my best essay help Marziliano, Pina Advisor: Vetterli, Sampling theory has The first topic of the second part of this thesis is the irregular sampling problem of Essay about Pina Bausch - Words - StudyModePina.

Pina Marziliano's thesis [7], available on-line, gives a complete version of all this. The noisy case was investigated initially by Irena Maravic [8] and then in [9] which gives also a nice overview.

The extension to general sampling kernels satisfying the Strang-Fix condition is given in [10].

Thesis advisor: Prof. Jacques Ferland, Département d'informatique et de recherche operationelle (DIRO) Recipient of Natural Sciences and Engineering Research Council (NSERC) of Canada scholarship timberdesignmag.com Applied Mathematics, Université de Montréal, Canada, May Application to JPEG Pina Marziliano author Frédéric Dufaux author Stefan Winkler author Touradj Ebrahimi author February text Switzerland degree grantor text thesis Ph.D.

thesis Winkler-PhD.

Pina marziliano thesis

Pierre Vandergheynst author Martin Kutter author Stefan Winkler author

Sampling Sparsity - Wikimization