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Inverse Problem Theory

Applied Mathematics, 3600 University City Science Center, Philadelphia, PA 19104- ... Inverse problem theory and methods for model parameter estimation / Albert .... While the forward problem has (in deterministic physics) a unique solution, the inverse problem does not. As an example, consider measurements of the ...


Distributed Automatic Differentiation for Ptychography

Jun 12, 2017 ... Published by Elsevier B.V. ... Keywords: inverse problems, image reconstruction, gradient methods, distributed algorithms, X-ray ... Abstract. Synchrotron radiation light source facilities are leading the way to ultrahigh resolution X-ray imaging. High resolution imaging is essential to understanding the ...


Multiple-Scattering Microphysics Tomography

Until recently, 3D inverse problems in computer vision tended to use simple forward models, such as blur (defocus, motion), reflection (photometric stereo), and dehazing [33,. 42] based on single-scattering [5,48,49]. Other imaging communities use different simplified models. Specifically, tomography in medical imaging and ...


A Perspective on Deep Imaging

imaging. The intersection point (in red) indicates that research efforts in medical imaging and deep learning recently became comparable. (fifty-fifty). Hopefully, their combination might ... biological “computer” with a complicated biological neural network .... functional representation via biomimicry, be it forward or inverse.


PET Image Reconstruction

a more accurate description of the imaging process resulting in a more complicated mathematical solution requiring ... The physics of photon generation and detection for PET are described elsewhere in this text. PET imaging ..... The inverse problem of Eq. (1) is ill-posed, and its solution, (Eq. (3)), is 'unstable' in the sense.


Three-dimensional momentum imaging of dissociation in flight of

Oct 4, 2017 ... Keywords: coincidence 3D momentum imaging, metastable states, strong-field intense pulses, ultrafast laser, delayed molecular .... For the problem of dissociation in flight, however, this is not the case, astd leaves us with more unknowns than ... (d) Computed time of flight as a function of td for C2D 4. 2. +.


ICES Faculty Profiles

faculty of world leaders in computer modeling and simula- ..... Industrial and Applied Mathematics Journal on Imaging Sciences” and “American Computing Machinery Comput- ing Surveys”, as well as on the ... and differential equations, inverse problems, data assimilation, computational statistics, biological complex fluids,.


Metal Artifact Reduction in CT: Where Are We After Four Decades?

Oct 6, 2016 ... metal implant optimization, improvements to the data acquisition process, data correction based on physics models ... INDEX TERMS Biomedical imaging, computed tomography, radiation therapy, reconstruction algorithms, metal artifact .... insight into the future directions of the field for overcoming.


PDF Full-text

Dec 28, 2016 ... a limited number of observations are available, the number of free parameters of the mathematical ... When retrieving the soil moisture profile from P-band radar, a mathematical function describing ...... inverse models, the physics of the problem (i.e., penetration depth of the electromagnetic waves) also.


The adjoint method in seismology I. Theory

Physics of the Earth and Planetary Interiors 157 (2006) 86–104 ... solving a differential equation, the computation of the derivative only consists in solving the forward problem and its adjoint problem. .... (Tarantola, 1987) the solution of the inverse problem is defined as a marginal probability density in the model space.


Velocity model building by 3D frequency-domain full-waveform

Dec 20, 2007 ... equation for the forward problem and on inverse problem theory for the imaging problem. (Tarantola, 1987). .... computed with model m), the superscript † indicates the adjoint (transpose conjugate) and. Wd is a ... the case of the P-wave velocity, this radiation pattern is that of an explosion. In other words ...


Feature Extraction & Image Processing

visiting the Elsevier web site at http://elsevier.com/locate/permissions, and selecting. Obtaining ..... focus to feature extraction and image processing in computer vision, for this not only has been the focus of our ... neering and computer science, or in mathematics or physics, and this is the level of mathematical analysis here.


Total-variation regularization strategies in full-waveform inversion

Aug 22, 2016 ... 4Applied Mathematics, University of Washington;. Abstract ... Application of the forward operator typically involves solving a partial differential equation (PDE) with coefficients m and .... As in many other inverse problems, invoking prior knowledge in the form of certain rudimentary constraints can have a.


Interface-sensitive imaging by an image reconstruction aided X-ray

Apr 3, 2017 ... Recently, the authors have succeeded in realizing X-ray reflectivity imaging of heterogeneous ultrathin films at specific wavevector transfers by applying a wide parallel beam and an area detector. By combining in-plane angle and grazing- incidence angle scans, it is possible to reconstruct a series of ...


Retrieving the Aerosol Complex Refractive Index using PyMieScatt

Abstract. The complex refractive index m=n+ik of a particle is an intrinsic property which cannot be directly measured; it must be inferred from its extrinsic properties such as the scattering and absorption cross-sections. Bohren and Huffman called this approach “describing the dragon from its tracks”, since the inversion of ...


A parallel multigrid-based preconditioner for the 3D heterogeneous

Apr 18, 2007 ... In geophysics, numerical methods can be employed in acoustic imaging tech- niques to gain insight in geological structures and physical properties deep within the Earth's subsurface. [25,26]. The numerical solution of the wave equation has greatly helped both forward modeling and migration of seismic ...


Programma informatie

Electronics for Quantum Computing. 6. R-list Radiation Science and Technology 2013. AP3242. Particle Radiotherapy. 3. AP3322. Computational Neutron Transport for Nuclear Reactors. 3. AP3361TU. Clinical Physics of Medical Imaging. 6. AP3581TU. Medical Physics and Radiation Technology: Radiotherapy. 6. AP3631.



Insight into the spectral and angular dependence of surface reflection can be ... al , which is the albedo for monochromatic radiation at wavelength l, is given by ..... Figure 2 Bidirectional reflectance distribution function for visible wavelengths calculated for clover using eqn [7] and data from Rahman et al. (1993) as given in  ...


Solving inverse problems with the unfolding program TRUEE

Sep 7, 2012 ... The unfolding program TRUEE is a software package for the numerical solution of inverse problems. The ... In mathematics, this problem can be described by the Fred- ... Physics Research A. 0168-9002/$ - see front matter & 2012 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.nima.2012.08.105.


A New Strategy to Compare Inverted Rupture Models Exploiting the

Sep 16, 2015 ... the nonuniqueness or ill conditioning of the inverse problem. (Hartzell et al., 2007 ; Zahradnэk and ... the forward operator and its discrete counterpart, the singular value decomposition (SVD), provide a natural .... not those used to compute the disseminated benchmark wave- form data. Indeed, the variance ...