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Adversarially-Sandwiched VAEs for Inverse Problems02 Oct 2018

Harshit Gupta
EPFL STI LIB

PSF-Extractor: from fluorescent beads measurements to continuous PSF model11 Sep 2018

Emmanuel Soubies
EPFL STI LIB

Analysis of Planar Shapes through Shape Dictionary Learning with an Extension to Splines28 Aug 2018

Anna Song
EPFL STI LIB

Complex-order scale-invariant operators and self-similar processes21 Aug 2018

Arash Amini
Sharif University, Tehran, Iran

Variational Framework for Continuous Angular Refinement and Reconstruction in Cryo-EM14 Aug 2018

Mona Zehni
EPFL STI LIB

Looking beyond Pixels: Theory, Algorithms and Applications of Continuous Sparse Recovery07 Aug 2018

Hanjie Pan
Audiovisual Communications Laboratory (LCAV, EPFL

A L1 representer theorem of vector-valued learning17 Jul 2018

Shayan Aziznejad
EPFL STI LIB

Local Rotation Invariance and Directional Sensitivity of 3D Texture Operators: Comparing Classical Radiomics, CNNs and Spherical Harmonics26 Jun 2018

Adrien Depeursinge
EPFL STI LIB

Computational Super-Sectioning for Single-Slice Structured-Illumination Microscopy 19 Jun 2018

Emmanuel Soubies
EPFL STI LIB

Theoretical and Numerical Analysis of Super-Resolution without Grid19 Jun 2018

Quentin Denoyelle
Université Paris Dauphine

Subdivision-Based Active Contours --- Statistical optimality of Hermite splines for the reconstruction of self-similar signals --- The Role of Discretisation in X-Ray CT Reconstruction29 May 2018

Anaïs Badoual, Virginie Uhlmann, Michael McCann
EPFL STI LIB

Influence of spatial context over color perception: unifying chromatic assimilation and simultaneous contrast into a neural field model22 May 2018

Anna Song
EPFL STI LIB

Fast rotational dictionary learning using steerability 08 May 2018

Mike McCann
EPFL STI LIB

Hybrid spline dictionaries for continuous-domain inverse problems24 Apr 2018

Thomas Debarre
EPFL STI LIB

Fast Multiresolution Reconstruction for Cryo-EM17 Apr 2018

Laurène Donati
EPFL STI LIB

Direct Reconstruction of Clipped Peaks in Bandlimited OFDM Signals13 Mar 2018

Kyong Hwan Jin
EPFL STI LIB

Sparsity-based techniques for diffraction tomography27 Feb 2018

Thanh-an Pham
EPFL STI LIB

Structured Illumination and the Analysis of Single Molecules in Cells09 Feb 2018

Rainer Heintzmann
Institute of Photonic Technology,Jena, Germany

Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems30 Jan 2018

Anaïs Badoual
EPFL STI LIB

Fast Piecewise-Affine Motion Estimation Without Segmentation19 Dec 2017

Denis Fortun
EPFL STI LIB

Continuous Representations in Bioimage Analysis: a Bridge from Pixels to the Real World12 Dec 2017

Virginie Uhlmann
EPFL STI LIB

Steer&Detect on Images 14 Nov 2017

Julien Fageot
EPFL STI LIB

Fundamental computational barriers in inverse problems and the mathematics of information27 Oct 2017

Alexander Bastounis
Cambridge University

Variational use of B-splines and Kernel Based Functions27 Oct 2017

Christophe Rabut
INSA Toulouse

Kernel Based Functions are generalizations of spline functions and radial basis functions. These R^d to R functions are in the form f = \sum_{i=1}^n λi φ(x−xi) or \sum_{i=1}^n λi φ(x−xi)+pk(x) where φ is called the kernel, (xi)_{i=1:n} ∈ (R^d)^n are the so called centers of f, (λi)_{i=1:n} are real coefficients, and pk is some degree k polynomial. When φ is a bell shaped function meeting some property (such as, in particular \sum_{i=1}^n φ(x) = 1 for any x ∈ R^d), we write it B and call it, for short, B-spline. In this talk we present two particular uses of these Kernel Based Functions, and a property of a specific polynomial interpolation. First, hierarchical B-splines: using B-splines of different scales, and a mean square optimization, we show how to approximate scattered data with possibility of zoom on some regions, adaptively from the data. We so obtain locally tensor product functions, where the grid of the centers is finer in some regions and coarser in other regions. Second, in a CAGD aim and using modified (variational) Bézier curves or surfaces, we show that it is possible to derive B-spline curves or surfaces being closer to (or further from) the control polygon, while being in the same vectorial space. This gives more flexibility to easily derive new forms. Third we present variational polynomial interpolation, which is true polynomial interpolation of any given data, and so obtain a polynomial interpolation without the famous Runge oscillations. These interpolating polynomials converge towards the interpolating polynomial spline of the data.

Deep learning based data manifold projection - a new regularization for inverse problems17 Oct 2017

Harshit Gupta
EPFL STI LIB

GlobalBioIm Lib - v2: new tools, more flexibility, and improved composition rules.03 Oct 2017

Emmanuel Soubies
EPFL STI LIB

Exact Discretization of Continuous-Domain Linear Inverse Problems with Generalized TV Regularization Using B-Splines​24 Aug 2017

Thomas Debarre
EPFL STI LIB

Fractional Integral transforms and Time-Frequency Representations02 Jun 2017

Prof. Ahmed I. Zayed
Department of Mathematical Sciences DePaul University

First steps toward fast PET reconstruction30 May 2017

Mike McCann
EPFL STI LIB

Lipid membranes and surface reconstruction - a biologically inspired method for 3D segmentation16 May 2017

Nicolas Chiaruttini
University of Geneva

Optical Diffraction Tomography: Principles and Algorithms09 May 2017

Thanh-an Pham
EPFL STI LIB

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