Sparse non-negative super-resolution - simplified and stabilised

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We present new results concerning the approximation of the total variation,

\int_{\Omega} |\nabla u|

, of a function

u

by non-local, non-convex functionals of the form $$ \Lambda_\delta u = \int_{\Omega} \int_{\Omega} \frac{\delta \varphi \big( |u(x) - ...

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Splines come in a variety of flavors that can be characterized in terms of some differential operator L. The simplest piecewise-constant model corresponds to the derivative operator. Likewise, one can extend the traditional notion of total variation by con ...

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We present new results concerning the approximation of the total variation, integral(Omega)vertical bar del u vertical bar, of a function u by non-local, non-convex functionals of the form Lambda delta(u) = integral(Omega)integral(Omega)delta phi(vertical ...

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Millions of digital images are captured by imaging devices on a daily basis. The way imaging devices operate follows an integral process from which the information of the original scene needs to be estimated. The estimation is done by inverting the integra ...

Sparse non-negative super-resolution - simplified and stabilised

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Correlative light and electron microscopy for human brain and other biological models

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Coarse graining and large-N behavior of the d-dimensional N-clock model

Coherently amplified ultrafast imaging using a free-electron interferometer

Functional registration and local variations: Identifiability, rank, and tuning

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A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators

Transient fission matrix approach for assessing complex kinetics behavior in the ZEPHYR ZPR coupled core configurations

Subwavelength imaging using a solid-immersion diffractive optical processor

Non-local Functionals Related to the Total Variation and Connections with Image Processing

From Nano to Macro An overview of the IEEE Bio Image and Signal Processing Technical Committee

Performing mathematical operations using high-index acoustic metamaterials

A framework for evaluating the performance of SMLM cluster analysis algorithms

Wavevector-Selective Nonlinear Plasmonic Metasurfaces

Chemical Probe for Imaging of Polo-like Kinase 4 and Centrioles

Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization

In-vivo investigation of electrochemical behavior of Ti and CoCrMo alloy in human synovial fluids

Non-convex, non-local functionals converging to the total variation

The new X-ray/visible microscopy MAXWELL technique for fast three-dimensional nanoimaging with isotropic resolution

Sparse Gradient Optimization and its Applications in Image Processing