,
, , 1957.
,
Image analysis with rapid and accurate two-dimensional Gaussian fitting, Langmuir, vol.25, issue.14, pp.8152-8160, 2009. ,
DOI : 10.1021/la900393v
Proximal alternating minimization and projection methods for nonconvex problems: an approach based on the Kurdyka-?ojasiewicz inequality, Math. Oper. Res, vol.35, issue.2, pp.438-457, 2010. ,
Proximal alternating minimization and projection methods for nonconvex problems: an approach based on the Kurdyka-?ojasiewicz inequality, Mathematics of Operations Research, vol.35, issue.2, pp.438-457, 2010. ,
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods, Math. Prog, vol.137, issue.1, pp.91-129, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00790042
On entropies, divergences, and mean values, Proceedings of 1995 IEEE International Symposium on Information Theory, p.330, 1995. ,
DOI : 10.1109/isit.1995.550317
Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01517477
, Nonlinear Programming, 1999.
Alternating proximal algorithm for blind image recovery, Proc. IEEE Int. Conf. Image Process. (ICIP 2010), pp.1673-1676, 2010. ,
DOI : 10.1109/icip.2010.5652173
URL : https://hal.archives-ouvertes.fr/hal-00844115
Clarke subgradients of stratifiable functions, SIAM Journal on Optimization, vol.18, issue.2, pp.556-572, 2007. ,
Proximal alternating linearized minimization for nonconvex and nonsmooth problems, Mathematical Programming, vol.146, issue.1, pp.459-494, 2014. ,
DOI : 10.1007/s10107-013-0701-9
URL : https://hal.archives-ouvertes.fr/hal-00916090
First Order Algorithms in Variational Image Processing, pp.345-407, 2016. ,
Fast algorithm for the resolution of spectra, Anal. Chem, vol.58, issue.6, pp.1162-1167, 1986. ,
Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction, Special issue on Structured Matrices: Analysis, Algorithms and Applications, vol.366, pp.139-155, 2003. ,
Nested iterative algorithms for convex constrained image recovery problems, SIAM Journal on Imaging Sciences, vol.2, issue.2, pp.730-762, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00621932
Calibration of scintillation cameras and pinhole SPECT imaging systems, vol.12, pp.195-202, 2005. ,
Approche variationnelle pour la déconvolution rapide de données 3d en microscopie biphotonique, Actes du 25e colloque GRETSI, 2015. ,
A block coordinate variable metric forward-backward algorithm, Journal of Global Optimization, vol.66, issue.3, pp.457-485, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-00945918
Proximal splitting methods in signal processing, Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00643807
On the Lambert W function, Advances in Computational mathematics, vol.5, issue.1, pp.329-359, 1996. ,
Geometric categories and o-minimal structures, Duke Math. J, vol.84, issue.2, pp.497-540, 1996. ,
Deconvolution and curve-fitting in the analysis of complex spectra: The CH stretching region in infrared spectra of coal, Appl. Spectrosc, vol.45, issue.1, pp.50-56, 1991. ,
Methods for choosing the regularization parameter and estimating the noise variance in image restoration and their relation, IEEE Trans. Image Process, vol.1, issue.3, pp.322-336, 1992. ,
A simple algorithm for fitting a Gaussian function, IEEE Signal Proc. Mag, vol.28, issue.5, pp.134-137, 2011. ,
Gaussian profile estimation in two dimensions, Appl. Opt, vol.47, issue.36, pp.6842-6851, 2008. ,
Gaussian profile estimation in one dimension, Appl. Opt, vol.46, issue.22, pp.5374-5383, 2007. ,
Deep tissue two-photon microscopy, Nat. Methods, vol.2, issue.12, 2005. ,
QuickPALM: 3D real-time photoactivation nanoscopy image processing in ImageJ, Nat. Methods, vol.7, issue.5, pp.339-340, 2010. ,
URL : https://hal.archives-ouvertes.fr/pasteur-02081312
Beam position estimation by means of detector arrays, Opt. Quantum Electron, vol.13, pp.201-208, 1981. ,
Numerical Analysis: Mathematics of Scientific Computing, 3th edn. Pure and applied undergraduate texts, 2002. ,
3-D PSF fitting for fluorescence microscopy: implementation and localization application, J. Microsc, vol.249, issue.1, pp.13-25, 2013. ,
On the statistical uncertainties associated with line profile fitting, Astrophys. J, vol.261, pp.732-735, 1982. ,
Improving single particle localization with an empirically calibrated Gaussian kernel, 5th IEEE Int. Symp. Biomed. Imag.: From Nano to Macro (ISBI 2008), pp.1003-1006, 2008. ,
, Variational Analysis. Springer Verlag, 1998.
A new algorithm for fitting a Gaussian function riding on the polynomial background, IEEE Signal Process. Lett, vol.20, issue.11, pp.1062-1065, 2013. ,
Estimating locations of quantum-dotencoded microparticles from ultra-high density 3-d microarrays, IEEE Trans. NanoBioscience, vol.7, issue.4, pp.284-297, 2008. ,
Improved depth resolution in video-rate line-scanning multiphoton microscopy using temporal focusing, Opt. Lett, vol.30, pp.1686-1688, 2005. ,
Precise nanometer localization analysis for individual fluorescent probes, Biophys. J, vol.82, pp.2775-2783, 2002. ,
DOI : 10.1016/s0006-3495(02)75618-x
URL : https://doi.org/10.1016/s0006-3495(02)75618-x
Convergence of a block coordinate descent method for nondifferentiable minimization, Journal of Optimization Theory and Applications, vol.109, issue.3, pp.475-494, 2001. ,
rapidSTORM: accurate, fast open-source software for localization microscopy, Nat. Methods, vol.9, pp.1040-1041, 2012. ,
DOI : 10.1038/nmeth.2224
A block coordinate descent method for regularized multiconvex optimization with applications to nonnegative tensor factorization and completion, SIAM Journal on Imaging Sciences, vol.6, issue.3, pp.1758-1789, 2013. ,
Gaussian approximations of fluorescence microscope point-spread function models, Appl. Opt, vol.46, issue.10, pp.1819-1829, 2007. ,
URL : https://hal.archives-ouvertes.fr/pasteur-00163734
Efficient parallel Levenberg-Marquardt model fitting towards real-time automated parametric imaging microscopy, PLOS ONE, vol.8, issue.10, pp.1-9, 2013. ,
DOI : 10.1371/journal.pone.0076665
URL : https://doi.org/10.1371/journal.pone.0076665