Publication

Fourier-based analysis and synthesis of moirés in the superposition of geometrically transformed periodic structures

Publications associées (40)

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Computing exact Fourier series coefficients of IC rectilinear polygons from low-resolution fast Fourier coefficients

Paul Hurley, Robin Scheibler

We present a novel, accurate and fast algorithm to obtain Fourier series coecients from an IC layer whose description consists of rectilinear polygons on a plane, and how to implement it using o-the-shelf hardware components. Based on properties of Fourier ...

2012

Diffractionless Fourier Domain Microscopy

Theo Lasser, Rainer Leitgeb, Cédric Blatter, Tilman Schmoll

Several methods have been proposed and realized to increase the lateral resolution in microscopy and ultimately to beat the actual diffraction limit as stated by Abbe. Structured illumination for example enhances the lateral resolution by virtually extendi ...

2011

Signal Processing in Space and Time

Francisco Pereira Correia Pinto

Sound waves propagate through space and time by transference of energy between the particles in the medium, which vibrate according to the oscillation patterns of the waves. These vibrations can be captured by a microphone and translated into a digital sig ...

EPFL2010

The role of Fourier theory and of modulation in the prediction of visible moiré effects

Roger Hersch, Isaac Amidror

Modern moiré theory is largely based on the Fourier approach. And yet, it seems that the Fourier theory by itself cannot answer all questions related to moiré effects. We present some visible phenomena in the superposition of periodic structures (such as l ...

2009

Bloch mode excitation in two-dimensional photonic crystals imaged by Fourier optics

Romuald Houdré, Nicolas Le Thomas

Coupling into the Bloch modes of a two-dimensional photonic crystal (PhC) field is investigated by Fourier optics. The PhC was designed to operate in the second band above the air-light line, close to the autocollimation regime for TE polarization. The sam ...

2009

k-Microscopy: resolution beyond the diffraction limit

Theo Lasser, Rainer Leitgeb

We present a novel Fourier domain method for microscopic imaging - so- called k-microscopy - with lateral resolution independent of the detection numerical aperture. The concept is based on sample illumination by a lateral fringe- pattern of varying spatia ...

SPIE2008

Synthèse d'images moiré

Sylvain Chosson

We explore a new approach for synthesizing moiré images that can be used for authentication of documents. For synthesizing moiré images, we need two layers: a base layer made of replicated bands or parallelograms and a revealing layer made of transparent l ...

EPFL2006

The plenacoustic function and its applications

Thibaut Ajdler

This thesis is a study of the spatial evolution of the sound field. We first present an analysis of the sound field along different geometries. In the case of the sound field studied along a line in a room, we describe a two-dimensional function characteri ...

EPFL2006

Authentication of secure items by shape level lines

Roger Hersch, Sylvain Chosson

The disclosed method and system may be used for creating advanced protection means for various categories of documents (e.g. bank notes, identity documents, certificates, checks, diploma, travel documents, tickets) and valuable products (e.g. optical disks ...

2006

Pattern Detection by Distributed Feature Extraction

Pascal Frossard, Effrosyni Kokiopoulou

This paper presents a distributed algorithm for the detection of patterns or their transformed versions, in noisy images. The proposed method projects the observed signal onto a redundant and structured dictionary of functions, which are distributed among ...

2006