• 1025 Citations
  • 20 h-Index
1989 …2019
If you made any changes in Pure, your changes will be visible here soon.

Research Output 1989 2019

  • 1025 Citations
  • 20 h-Index
  • 67 Article
  • 10 Conference contribution
  • 1 Letter
Filter
Article
2019

IGUG: A MATLAB package for 3D inversion of gravity data using graph theory

Vatankhah, S., Ardestani, V. E., Niri, S. S., Renaut, R. & Kabirzadeh, H., Jul 1 2019, In : Computers and Geosciences. 128, p. 19-29 11 p.

Research output: Contribution to journalArticle

Graph theory
MATLAB
Gravitation
gravity
Spatial distribution
Tikhonov Regularization
Regularization Parameter
Singular value decomposition
Approximation
Term
2018

A fast algorithm for regularized focused 3D inversion of gravity data using randomized singular-value decomposition

Vatankhah, S., Renaut, R. & Ardestani, V. E., Jul 1 2018, In : Geophysics. 83, 4, p. G25-G34

Research output: Contribution to journalArticle

Three dimensional computer graphics
Approximation theory
Approximation algorithms
Singular value decomposition
Inverse problems
3 Citations (Scopus)

Total variation regularization of the 3-D gravity inverse problem using a randomized generalized singular value decomposition

Vatankhah, S., Renaut, R. & Ardestani, V. E., Apr 1 2018, In : Geophysical Journal International. 213, 1, p. 695-705 11 p.

Research output: Contribution to journalArticle

Singular value decomposition
inverse problem
Inverse problems
Gravitation
decomposition
2017
6 Citations (Scopus)

3-D Projected L1 inversion of gravity data using truncated unbiased predictive risk estimator for regularization parameter estimation

Vatankhah, S., Renaut, R. & Ardestani, V. E., Sep 1 2017, In : Geophysical Journal International. 210, 3, p. 1872-1887 16 p.

Research output: Contribution to journalArticle

estimators
Parameter estimation
Gravitation
inversions
gravity
1 Citation (Scopus)
weighting functions
Gravitation
inversions
gravity
gravitation
6 Citations (Scopus)

Hybrid and iteratively reweighted regularization by unbiased predictive risk and weighted gcv for projected systems

Renaut, R., Vatankhah, S. & Ardestani, V. E., 2017, In : SIAM Journal on Scientific Computing. 39, 2, p. B221-B243

Research output: Contribution to journalArticle

Image reconstruction
Regularization
Generalized Cross-validation
Stabilization
Subspace
2016
1 Citation (Scopus)

Efficient estimation of regularization parameters via downsampling and the singular value expansion: Downsampling regularization parameter estimation

Renaut, R., Horst, M., Wang, Y., Cochran, D. & Hansen, J., Nov 19 2016, (Accepted/In press) In : BIT Numerical Mathematics. p. 1-31 31 p.

Research output: Contribution to journalArticle

Efficient Estimation
Regularization Parameter
Singular Values
Parameter estimation
Parameter Estimation
2015
20 Citations (Scopus)
estimators
Gravitation
inversions
gravity
gravitation
1 Citation (Scopus)

Functional partial canonical correlation

Huang, Q. & Renaut, R., May 1 2015, In : Bernoulli. 21, 2, p. 1047-1066 20 p.

Research output: Contribution to journalArticle

Partial Correlation
Canonical Correlation
Direct Sum
Covariance Operator
Hilbert Function
6 Citations (Scopus)

Non-negatively constrained least squares and parameter choice by the residual periodogram for the inversion of electrochemical impedance spectroscopy data

Hansen, J. K., Hogue, J. D., Sander, G. K., Renaut, R. & Popat, S. C., Apr 15 2015, In : Journal of Computational and Applied Mathematics. 278, p. 52-74 23 p.

Research output: Contribution to journalArticle

Constrained Least Squares
Periodogram
Linear Least Squares
Change of Variables
Least Squares Problem
2014
18 Citations (Scopus)
Manganese mines
Iran
manganese
Gravitation
inversions
11 Citations (Scopus)

Regularization parameter estimation for underdetermined problems by the χ 2 principle with application to 2D focusing gravity inversion

Vatankhah, S., Renaut, R. & Ardestani, V. E., Aug 1 2014, In : Inverse Problems. 30, 8, 085002.

Research output: Contribution to journalArticle

Regularization Parameter
Singular value decomposition
Parameter estimation
Parameter Estimation
Inversion
2013
6 Citations (Scopus)

Stability and error analysis of the polarization estimation inverse problem for microbial fuel cells

Renaut, R., Baker, R., Horst, M., Johnson, C. & Nasir, D., Apr 2013, In : Inverse Problems. 29, 4, 045006.

Research output: Contribution to journalArticle

Microbial fuel cells
Fuel Cell
Convergence of numerical methods
Inverse problems
Error Analysis
2012
1 Citation (Scopus)

Multisplitting for regularized least squares with Krylov subspace recycling

Renaut, R., Lin, Y. & Guo, H., Aug 2012, In : Numerical Linear Algebra with Applications. 19, 4, p. 655-676 22 p.

Research output: Contribution to journalArticle

Multisplitting
Krylov Subspace
Recycling
Least Squares
Convergence Condition

Special Issue on Mathematical Methods in Medical Imaging - Guest Editors' Introduction

Gelb, A., Renaut, R., Roudenko, S. & Cochran, D., 2012, (Accepted/In press) In : Journal of Scientific Computing. p. 1-2 2 p.

Research output: Contribution to journalArticle

Medical Imaging
Medical imaging
2011
1 Citation (Scopus)

Revisiting stopping rules for iterative methods used in emission tomography

Guo, H. & Renaut, R., Jul 2011, In : Computerized Medical Imaging and Graphics. 35, 5, p. 398-406 9 p.

Research output: Contribution to journalArticle

Poisson Distribution
Positron emission tomography
Signal-To-Noise Ratio
Iterative methods
Positron-Emission Tomography
6 Citations (Scopus)

Sparsity Enforcing Edge Detection Method for Blurred and Noisy Fourier data

Stefan, W., Viswanathan, A., Gelb, A. & Renaut, R., 2011, (Accepted/In press) In : Journal of Scientific Computing. p. 1-21 21 p.

Research output: Contribution to journalArticle

Edge Detection
Edge detection
Sparsity
Compressed sensing
Piecewise Smooth Functions
12 Citations (Scopus)

Wavelet-Based De-noising of Positron Emission Tomography Scans

Stefan, W., Chen, K., Guo, H., Renaut, R. & Roudenko, S., 2011, (Accepted/In press) In : Journal of Scientific Computing. p. 1-13 13 p.

Research output: Contribution to journalArticle

Positron Emission Tomography
Positron emission tomography
Denoising
Wavelets
Wavelet decomposition
2010
40 Citations (Scopus)

Improved total variation-type regularization using higher order edge detectors

Stefan, W., Renaut, R. & Gelb, A., 2010, In : SIAM Journal on Imaging Sciences. 3, 2, p. 232-251 20 p.

Research output: Contribution to journalArticle

Total Variation
Restoration
Regularization
Detector
Higher Order
11 Citations (Scopus)

Least squares problems with inequality constraints as quadratic constraints

Mead, J. L. & Renaut, R., Apr 1 2010, In : Linear Algebra and Its Applications. 432, 8, p. 1936-1949 14 p.

Research output: Contribution to journalArticle

Box Constraints
Quadratic Constraint
Least Squares Problem
Inequality Constraints
Inverse problems
16 Citations (Scopus)

On reconstruction from non-uniform spectral data

Viswanathan, A., Gelb, A., Cochran, D. & Renaut, R., Oct 2010, In : Journal of Scientific Computing. 45, 1-3, p. 487-513 27 p.

Research output: Contribution to journalArticle

Sampling
Fourier transforms
Resampling
Projection Method
Fourier transform
1 Citation (Scopus)

Reducing modeling error of graphical methods for estimating volume of distribution measurements in PIB-PET study

Guo, H., Renaut, R., Chen, K. & Reiman, E. M., Aug 2010, In : Mathematical Biosciences. 226, 2, p. 134-146 13 p.

Research output: Contribution to journalArticle

Graphical Methods
Modeling Error
Positron emission tomography
Aniline
duration
21 Citations (Scopus)

Regularization parameter estimation for large-scale Tikhonov regularization using a priori information

Renaut, R., Hnětynková, I. & Mead, J., Dec 1 2010, In : Computational Statistics and Data Analysis. 54, 12, p. 3430-3445 16 p.

Research output: Contribution to journalArticle

Tikhonov Regularization
Regularization Parameter
Parameter estimation
Parameter Estimation
Generalized Singular Value Decomposition
2009
2 Citations (Scopus)

A family of preconditioned iteratively regularized methods for nonlinear minimization

Smirnova, A. & Renaut, R., Jun 2009, In : Journal of Inverse and Ill-Posed Problems. 17, 4, p. 405-418 14 p.

Research output: Contribution to journalArticle

Preconditioned Iterative Methods
Gauss-Newton
Tikhonov Regularization
Line Search
Iterative methods
28 Citations (Scopus)
Root-finding
Least Squares Problem
Regularization Parameter
Singular value decomposition
Parameter estimation
12 Citations (Scopus)

FDG-PET parametric imaging by total variation minimization

Guo, H., Renaut, R., Chen, K. & Reiman, E., Jun 2009, In : Computerized Medical Imaging and Graphics. 33, 4, p. 295-303 9 p.

Research output: Contribution to journalArticle

Brain
Imaging techniques
Median filters
Positron emission tomography
Deoxyglucose
6 Citations (Scopus)

Improved inter-modality image registration using normalized mutual information with coarse-binned histograms

Nam, H., Renaut, R., Chen, K., Guo, H. & Farin, G. E., 2009, In : Communications in Numerical Methods in Engineering. 25, 6, p. 583-595 13 p.

Research output: Contribution to journalArticle

Image registration
Bins
Image Registration
Mutual Information
Positron-Emission Tomography
2007
30 Citations (Scopus)

An input function estimation method for FDG-PET human brain studies

Guo, H., Renaut, R. & Chen, K., Jul 2007, In : Nuclear Medicine and Biology. 34, 5, p. 483-492 10 p.

Research output: Contribution to journalArticle

Positron-Emission Tomography
Glucose
Brain
Least-Squares Analysis
Carotid Arteries
37 Citations (Scopus)

Characterization of the image-derived carotid artery input function using independent component analysis for the quantitation of [18F] fluorodeoxyglucose positron emission tomography images

Chen, K., Chen, X., Renaut, R., Alexander, G. E., Bandy, D., Guo, H. & Reiman, E. M., Dec 7 2007, In : Physics in Medicine and Biology. 52, 23, p. 7055-7071 17 p.

Research output: Contribution to journalArticle

Positron emission tomography
Fluorodeoxyglucose F18
Independent component analysis
arteries
Carotid Arteries
14 Citations (Scopus)

Convergence and application of a modified iteratively regularized Gauss-Newton algorithm

Smirnova, A., Renaut, R. & Khan, T., Aug 1 2007, In : Inverse Problems. 23, 4, p. 1547-1563 17 p., 011.

Research output: Contribution to journalArticle

Gauss-Newton
Inverse problems
newton
Optical tomography
Tikhonov Regularization
2006
8 Citations (Scopus)

Signal restoration through deconvolution applied to deep mantle seismic probes

Stefan, W., Garnero, E. & Renaut, R., Dec 2006, In : Geophysical Journal International. 167, 3, p. 1353-1362 10 p.

Research output: Contribution to journalArticle

Deconvolution
deconvolution
restoration
Restoration
arrivals
2005
44 Citations (Scopus)

Efficient algorithms for solution of regularized total least squares

Renaut, R. & Guo, H., 2005, In : SIAM Journal on Matrix Analysis and Applications. 26, 2, p. 457-476 20 p.

Research output: Contribution to journalArticle

Total Least Squares
Efficient Algorithms
Eigenproblem
Quadratic Eigenvalue Problem
Augmented Lagrangians
1 Citation (Scopus)

On the convergence of the generalized linear least squares algorithm

Negoita, C. & Renaut, R., Mar 2005, In : BIT Numerical Mathematics. 45, 1, p. 137-158 22 p.

Research output: Contribution to journalArticle

Generalized Least Squares
Linear Algorithm
Linear Least Squares
Least Square Algorithm
Parameter estimation
1 Citation (Scopus)

Parallel variable distribution for total least squares

Guo, H. & Renaut, R., Nov 2005, In : Numerical Linear Algebra with Applications. 12, 9, p. 859-876 18 p.

Research output: Contribution to journalArticle

Total Least Squares
Least-squares Solution
Parallel Methods
Least Squares Problem
Domain Decomposition
2004
39 Citations (Scopus)

An automated algorithm for the computation of brain volume change from sequential MRIs using an iterative principal component analysis and its evaluation for the assessment of whole-brain atrophy rates in patients with probable Alzheimer's disease

Chen, K., Reiman, E. M., Alexander, G. E., Bandy, D., Renaut, R., Crum, W. R., Fox, N. C. & Rossor, M. N., May 2004, In : NeuroImage. 22, 1, p. 134-143 10 p.

Research output: Contribution to journalArticle

Principal Component Analysis
Atrophy
Alzheimer Disease
Magnetic Resonance Spectroscopy
Brain
6 Citations (Scopus)

Estimation of uT f(A )v for large-scale unsymmetric matrices

Guo, H. & Renaut, R., Feb 2004, In : Numerical Linear Algebra with Applications. 11, 1, p. 75-89 15 p.

Research output: Contribution to journalArticle

Arnoldi Process
Data storage equipment
Lanczos
Look-ahead
Fast Algorithm
2003
21 Citations (Scopus)

Accuracy, resolution, and stability properties of a modified Chebyshev method

Mead, J. L. & Renaut, R., 2003, In : SIAM Journal on Scientific Computing. 24, 1, p. 143-160 18 p.

Research output: Contribution to journalArticle

Chebyshev's Method
Wavelength
Wave equations
Partial differential equations
Derivatives
54 Citations (Scopus)

Clustering huge data sets for parametric PET imaging

Guo, H., Renaut, R., Chen, K. & Reiman, E., Sep 2003, In : BioSystems. 71, 1-2, p. 81-92 12 p.

Research output: Contribution to journalArticle

positron-emission tomography
Data Clustering
Cluster Analysis
cluster analysis
Kinetics
1 Citation (Scopus)

Future Generation Computer Systems: Editorial

Renaut, R. & Ruede, U., Nov 2003, In : Future Generation Computer Systems. 19, 8, p. 1265 1 p.

Research output: Contribution to journalArticle

Computer systems
34 Citations (Scopus)

HIRF penetration and PED coupling analysis for scaled fuselage models using a hybrid subgrid FDTD(2,2)/FDTD(2,4) method

Georgakopoulos, S. V., Birtcher, C. R., Balanis, C. & Renaut, R., May 2003, In : IEEE Transactions on Electromagnetic Compatibility. 45, 2, p. 293-305 13 p.

Research output: Contribution to journalArticle

fuselages
Fuselages
finite difference time domain method
penetration
Shielding
33 Citations (Scopus)

Improving tissue segmentation of human brain MRI through preprocessing by the Gegenbauer reconstruction method

Archibald, R., Chen, K., Gelb, A. & Renaut, R., Sep 1 2003, In : NeuroImage. 20, 1, p. 489-502 14 p.

Research output: Contribution to journalArticle

Brain
Magnetic Resonance Spectroscopy
Computer-Assisted Image Processing
2002
6 Citations (Scopus)

A note on stability of pseudospectral methods for wave propagation

Jackiewicz, Z. & Renaut, R., Jun 1 2002, In : Journal of Computational and Applied Mathematics. 143, 1, p. 127-139 13 p.

Research output: Contribution to journalArticle

Pseudospectral Method
Wave propagation
Wave Propagation
Absorbing Boundary Conditions
First-order System
19 Citations (Scopus)

Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, Part 2: Applications

Georgakopoulos, S. V., Birtcher, C. R., Balanis, C. & Renaut, R., Apr 2002, In : IEEE Antennas and Propagation Magazine. 44, 2, p. 92-101 10 p.

Research output: Contribution to journalArticle

Finite difference time domain method
Electromagnetic waves
Scattering
Shielding
Aircraft
79 Citations (Scopus)

Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, Part I: Theory

Georgakopoulos, S. V., Birtcher, C. R., Balanis, C. & Renaut, R., Feb 2002, In : IEEE Antennas and Propagation Magazine. 44, 1, p. 134-142 9 p.

Research output: Contribution to journalArticle

Finite difference time domain method
Electromagnetic waves
Scattering
Convergence of numerical methods
2001
27 Citations (Scopus)

A hybrid forth-order FDTD utilizing a second-order FDTD subgrid

Georgakopoulos, S. V., Renaut, R., Balanis, C. & Birtcher, C. R., Nov 2001, In : IEEE Microwave and Wireless Components Letters. 11, 11, p. 462-464 3 p.

Research output: Contribution to journalArticle

Scattering parameters
finite difference time domain method
Data storage equipment
monopoles
3 Citations (Scopus)

Stability of a pivoting strategy for parallel Gaussian elimination

Mead, J. L., Renaut, R. & Welfert, B., Sep 2001, In : BIT Numerical Mathematics. 41, 3, p. 633-639 7 p.

Research output: Contribution to journalArticle

Gaussian elimination
Pivoting
Partial
Growth Factors
Singular matrix
2000
4 Citations (Scopus)
Wave equations
Wave equation
Order Reduction
Runge Kutta methods
First-order System
1999
8 Citations (Scopus)

A unified approach to parallel space decomposition methods

Frommer, A. & Renaut, R., Oct 15 1999, In : Journal of Computational and Applied Mathematics. 110, 1, p. 205-223 19 p.

Research output: Contribution to journalArticle

Decomposition Method
Parallel Optimization
Decomposition
Schwarz Methods
Linear Least Squares
23 Citations (Scopus)

Optimal runge-kutta methods for first order pseudospectral operators

Mead, J. L. & Renaut, R., Jun 10 1999, In : Journal of Computational Physics. 152, 1, p. 404-419 16 p.

Research output: Contribution to journalArticle

Runge-Kutta method
Runge Kutta methods
Mathematical operators
dissipation
operators