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Monard, François

  1. Efficient Nonparametric Bayesian Inference For X-Ray Transforms
    2017/08/21 by Monard, François, Nickl, Richard, Paternain, Gabriel P. · 7 citations
    #58J40 #62F15 (Secondary) #62G20 (Primary) #65R10 #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Statistics Theory (math.ST)
  2. Consistent Inversion of Noisy Non-Abelian X-Ray Transforms
    2019/05/02 by Monard, François, Nickl, Richard, Paternain, Gabriel P. · 6 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Statistics Theory (math.ST)
  3. Statistical guarantees for Bayesian uncertainty quantification in non-linear inverse problems with Gaussian process priors
    2020/07/31 by François Monard, Monard, François, Richard Nickl +3 · 5 citations
    Computer Science · Decision Sciences · Engineering · #Gaussian Processes and Bayesian Inference #Scientific Measurement and Uncertainty Evaluation #Reservoir Engineering and Simulation Methods
  4. On solenoidal-injective and injective ray transforms of tensor fields on\n surfaces
    2018/07/27 by Venkateswaran P. Krishnan, Krishnan, Venkateswaran P., Rohit Kumar Mishra +3 · 2 citations
    Computer Science · Medicine · #Computer Graphics and Visualization Techniques #Computational Physics and Python Applications #Advanced Neuroimaging Techniques and Applications
  5. Inversion formulas and range characterizations for the attenuated\n geodesic ray transform
    2016/09/14 by Yernat M. Assylbekov, François Monard, Assylbekov, Yernat +3 · 2 citations
    Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Morphological variations and asymmetry
  6. Integral geometry on manifolds with boundary and applications
    2018/06/15 by Ilmavirta, Joonas, Monard, François · 2 citations
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  7. Numerical implementation of geodesic X-ray transforms and their inversion
    2013/09/24 by Monard, François · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Numerical Analysis (math.NA)
  8. Inversion of the attenuated geodesic X-ray transform over functions and vector fields on simple surfaces
    2015/03/24 by Monard, François · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  9. Sampling the X-ray transform on simple surfaces
    2021/10/12 by François Monard, Plamen Stefanov, Monard, François +1 · 2 citations
    Engineering · Mathematics · Medicine · #3D Shape Modeling and Analysis #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Medical Imaging Techniques and Applications #Morphological variations and asymmetry
  10. The attenuated geodesic X-ray transform
    2017/08/29 by Sean Holman, François Monard, Holman, Sean +3 · 1 citation
    Mathematics · Medicine · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Medical Imaging Techniques and Applications #Numerical methods in inverse problems
  11. Inverse source problems in transport via attenuated tensor tomography
    2019/08/18 by Bal, Guillaume, Monard, François · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Local and global blow-downs of transport twistor space
    2024/03/09 by Bohr, Jan, Monard, François, Paternain, Gabriel P. · 1 citation
    #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics