Wavelets: on the virtues and applications of the mathematical microscope

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For the first time, a high-density amorphous and crack-free bulk metallic glass (BMG) based on a precious metal (PdCuNiP) was produced via additive manufacturing (AM). Laser powder-bed fusion (LPBF) was used for the fabrication of the samples, and led to a ...

Single-molecule localization microscopy (SMLM) is a fluorescence microscopy technique that achieves super-resolution imaging by sequentially activating and localizing random sparse subsets of fluorophores. Each activated fluorophore emits light that then s ...

Single-molecule localization microscopy (SMLM) describes a family of powerful imaging techniques that dramatically improve spatial resolution over standard, diffraction-limited microscopy techniques and can image biological structures at the molecular scal ...

We characterize the local smoothness and the asymptotic growth rate of the Levy white noise. We do so by characterizing the weighted Besov spaces in which it is located. We extend known results in two ways. First, we obtain new bounds for the local smoothn ...

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In this paper, we study the compressibility of random processes and fields, called generalized Levy processes, that are solutions of stochastic differential equations driven by d-dimensional periodic Levy white noises. Our results are based on the estimati ...

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Optical microscopy is one widely used tool to study cell functions and the interaction of molecules at a sub-cellular level. Optical microscopy techniques can be broadly divided into two categories: partially coherent and incoherent. Coherent microscopy te ...

Wavelets: on the virtues and applications of the mathematical microscope

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Additive manufacturing of a precious bulk metallic glass

Diffraction Tomography from Single-Molecule Localization Microscopy: Numerical Feasibility

Single-molecule localization microscopy

Wavelet analysis of the Besov regularity of Levy white noise

Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations

H0LiCOW-XI. A weak lensing measurement of the external convergence in the field of the lensed quasar B1608+656 using HST and Subaru deep imaging

The n-term Approximation of Periodic Generalized Levy Processes

W2S: Microscopy Data with Joint Denoising and Super-Resolution for Widefield to SIM Mapping

Spatially-Variant CNN-Based Point Spread Function Estimation for Blind Deconvolution and Depth Estimation in Optical Microscopy

Development of novel experimental and computational methods for three-dimensional coherent and super-resolution microscopy