Biomedical Imaging Lab (Minerva Research Group)
The Minerva Research Group is interested in the biomedical engineering areas of computer vision, biomedical imaging, control theory, and image processing. They are broadly interested in a range of mathematical image analysis algorithms for segmentation, registration, diffusionweighted MRI analysis, and statistical analysis.
Research is led by professor Allen Tannenbaum, Julian Hightower Professor, School of Electrical and Computer Engineering and GT/Emory Department of Biomedical Engineering.
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Recent Submissions

Affine Registration of label maps in Label Space
(Georgia Institute of TechnologyJournal of Computing, 201004)Two key aspects of coupled multiobject shape analysis and atlas generation are the choice of representation and subsequent registration methods used to align the sample set. For example, a typical brain image can be labeled ... 
Characteristics of second harmonic generation of Lamb waves in nonlinear elastic plates
(Georgia Institute of TechnologyAcoustical Society of America, 201004)This paper investigates the characteristics of the second harmonic generation of Lamb waves in a plate with quadratic nonlinearity. Analytical asymptotic solutions to Lamb waves are first obtained through the use of a ... 
A Coupled Global Registration and Segmentation Framework With Application to Magnetic Resonance Prostate Imagery
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 201010)Extracting the prostate from magnetic resonance (MR) imagery is a challenging and important task for medical image analysis and surgical planning. We present in this work a unified shapebased framework to extract the ... 
Filtered Multitensor Tractography
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 201009)We describe a technique that uses tractography to drive the local fiber model estimation. Existing techniques use independent estimation at each voxel so there is no running knowledge of confidence in the estimated model ... 
On the excitability of second harmonic lamb waves in isotropic plates
(Georgia Institute of TechnologyAmerican Institute of Physics, 20100222)Recent research uses second harmonic waves caused by material nonlinearity to characterize fatigue damage in its early stages. This research investigates this second harmonic Lamb wave generation analytically, using a ... 
Deform PFMT: Particle Filter With Mode Tracker for Tracking Nonaffine Contour Deformations
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 201004)We propose algorithms for tracking the boundary contour of a deforming object from an image sequence, when the nonaffine (local) deformation over consecutive frames is large and there is overlapping clutter, occlusions, ... 
Weighted Optimization Theory for Nonlinear Systems
(Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 198907)In this paper, the solution of a nonlinear version of the weighted sensitivity H∞optimization problem is discussed. It is shown that the natural object to be considered in this context is a certain "sensitivity operator," ... 
Nonlinear H∞ Optimization: A Causal Power Series Approach
(Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 199501)In this paper, using a power series methodology a design procedure applicable to analytic nonlinear plants is described. The technique used is a generalization of the linear H∞ theory. In contrast to previous work on this ... 
Soft Plaque Detection and Automatic Vessel Segmentation
(Georgia Institute of Technology, 20090920)The ability to detect and measure noncalcified plaques (also known as soft plaques) may improve physicians’ ability to predict cardiac events. This is a particularly challenging problem in computed tomography angiography ... 
Degenerations of curves in P³
(Georgia Institute of TechnologyAmerican Mathematical Society, 197801)In this paper we prove every connected, reduced curve in P³ of arithmetic genus 0, may be flatly smoothed. Moreover, we give a new example of a reduced singular curve in P³ which cannot be flatly smoothed. 
A note on linear systems on K3 surfaces
(Georgia Institute of TechnologyAmerican Mathematical Society, 198209)A simple necessary and sufficient condition is given for a general member of the complete linear system Y to be irreducible and nonsingular where Y is a reduced, connected curve on a K3 surface. 
A Skew Toeplitz Approach to the H∞ Optimal Control of Multivariable Distributed Systems
(Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 199003)In this paper the problem of the H∞ optimization of multivariable distributed systems in the four block setting is studied. This work is based on several previous papers and employs the skew Toeplitz framework developed ... 
Texture Mapping via Optimal Mass Transport
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 201005)In this paper, we present a novel method for texture mapping of closed surfaces. Our method is based on the technique of optimal mass transport (also known as the "earthmover’s metric"). This is a classical problem that ... 
A Geometric Approach to Joint 2D RegionBased Segmentation and 3D Pose Estimation Using a 3D Shape Prior
(Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 20100303)In this work, we present an approach to jointly segment a rigid object in a twodimensional (2D) image and estimate its threedimensional (3D) pose, using the knowledge of a 3D model. We naturally couple the two processes ... 
On the H∞ Optimal Sensitivity Problem for Systems with Delays
(Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 19870501)In this paper we extend some of the results of [IEEE Trans. Automat. Control, AC31 (1986), pp. 763–766] to more general delay systems. In particular, we analyze the effect of the interaction of delays and nonminimum phase ... 
Some explicit formulae for the singular values of certain hankel operators with factorizable symbol
(Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 198809)In this paper a determinantal formula is written that allows one to compute the singular values of Hankel operators, the L∞ symbols of which are of the form mw for WE H∞ rational and mE H∞ inner. (All of the Hardy spaces ... 
H∞Optimization Theory for Distributed Systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198612)In this note we write down an explicit formula for the computation of the optimal sensitivity of an arbitrary single input/output, linear timeinvariant distributed plant. We moreover discuss the uniqueness of the optimal ... 
Robust Control of Linear TimeInvariant Plants Using Periodic Compensation
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198511)This paper considers the use and design of linear periodic timevarying controllers for the feedback control of linear timeinvariant discretetime plants. We will show that for a large class of robustness problems, periodic ... 
Stabilization of TimeDelay Systems Using FiniteDimensional Compensators
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198501)For linear timeinvariant systems with one or more noncommensurate time delays, necessary and sufficient conditions are given for the existence of a finitedimensional stabilizing feedback compensator. In particular, it ... 
NonEuclidian metrics and the robust stabilization of systems with parameter uncertainty
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198510)This paper considers, from a complex function theoretic point of view, certain kinds of robust synthesis problems. In particular, we use a certain kind of metric on the disk (the "hyperbolic" metric) which allows us to ...