Lilí Guadarrama Bustos

ORCID: 0000-0002-3741-7235
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Research Areas
  • Ultrasonics and Acoustic Wave Propagation
  • Microwave Imaging and Scattering Analysis
  • Ultrasound Imaging and Elastography
  • Electrical and Bioimpedance Tomography
  • Numerical methods in inverse problems
  • Seismic Imaging and Inversion Techniques
  • Photoacoustic and Ultrasonic Imaging
  • Seismic Waves and Analysis
  • Advanced X-ray and CT Imaging
  • Electromagnetic Scattering and Analysis
  • NMR spectroscopy and applications
  • Smart Agriculture and AI
  • Remote Sensing in Agriculture
  • Soil Geostatistics and Mapping
  • Leaf Properties and Growth Measurement
  • Geophysical Methods and Applications

Consejo Nacional de Humanidades, Ciencias y Tecnologías
2022

Mathematics Research Center
2016-2020

Universidad Tecnológica de Aguascalientes
2016

École Polytechnique
2010-2011

Centre National de la Recherche Scientifique
2010-2011

Centre de Mathématiques Appliquées
2010-2011

ESPCI Paris
2011

Institut Langevin
2011

We consider for the wave equation inverse problem of identifying locations point sources and dipoles from limited-view data. Using as weights particular background solutions constructed by geometrical control method, we recover classical imaging algorithms appropriately averaging show both analytically numerically that if one can accurately construct geometric control, then perform with same resolution when using data full-view

10.1137/100786174 article EN SIAM Journal on Imaging Sciences 2011-01-01

We consider a purely quasi-incompressible elasticity model. rigorously establish asymptotic expansions of near- and far-field measurements the transient elastic wave induced by small anomaly. Our proof uses layer potential techniques for modified Stokes system. Based on these formulae, we design imaging methods leading to quantitative estimation geometrical parameters

10.1017/s030821051000020x article EN Proceedings of the Royal Society of Edinburgh Section A Mathematics 2011-11-15

In this work, we present an explicit expression for the Green function in a visco-elastic medium. We choose Szabo and Wu's frequency power law model to describe properties derive generalized wave equation. express ideal (without any viscous effect) terms of using attenuation operator. By means approximation function, address problem reconstructing small anomaly medium from wavefield measurements. Copyright © 2011 John Wiley & Sons, Ltd.

10.1002/mma.1404 article EN Mathematical Methods in the Applied Sciences 2011-01-03

We pose a Bayesian formulation of the inverse problem associated to recovering both support and refractive index convex obstacle given measurements near-field scattered waves. Aiming at sampling efficiently from arising posterior distribution using Markov Chain Monte Carlo, we construct sampler (probability transition kernel) that is invariant under affine transformations space. A point cloud method used approximate scatterer support. show can successfully address presence multiple scales in...

10.1002/mma.3929 article EN Mathematical Methods in the Applied Sciences 2016-06-16

A simple and robust methodology for plant disease diagnosis using images in the visible spectrum of plants, even uncontrolled environments, is presented possible use mobile applications. This strategy divided into two main parts: on one hand, segmentation plant, other identification color associated with diseases. Gaussian mixture models probabilistic saliency are used to accurately segment from background an image, HSV thresholds order achieve quantification colors Proper diseases interest...

10.3390/app12042199 article EN cc-by Applied Sciences 2022-02-20
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