Browsing Biomedical Imaging Lab (Minerva Research Group) by Title
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On the sensitivity minimization problem for linear timevarying periodic systems
(Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 198609)An optimal control problem is formulated in the context of linear, discretetime, periodic systems. The cost is the supremum over all exogenous inputs in a weighted hall of plant inputs. The controller is required to be ... 
On the spectra and invertibility of certain operators in systems theory
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198712)In this paper we study the following kind of problem. Let T be an arbitrary contraction. We will define a certain function which will lead to an explicit procedure for the computation of the isolated spectrum of w(T)w(T)', ... 
On the two block problem for unstable distributed systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199012)The H∞ mixed sensitivity minimization problem is solved for a class of unstable distributed systems. The solution is based on an extension of the skew Toeplitz methodology. The key mathematical fact used is that the skew ... 
On the Uniqueness of a Minimal Norm Representative of an Operator in the Commutant of the Compressed Shift
(Georgia Institute of TechnologyAmerican Mathematical Society, 198712)In this note we give a new criterion guaranteeing the uniqueness of a minimal norm representative of a bounded linear operator which commutes with a finite multiplicity shift. We moreover give examples which show that ... 
Optical flow: a curve evolution approach
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199510)A novel approach for the computation of optical flow based on an L 1 type minimization is presented. It is shown that the approach has inherent advantages since it does not smooth the flowvelocity across the edges and ... 
Optimal Mass Transport and Image Registration
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 20010713)Image registration is the process of establishing a common geometric reference frame between two or more data sets from the same or different imaging modalities possibly taken at different times. In the context of medical ... 
Particle Filtering for Geometric Active Contours with Application to Tracking Moving and Deforming Objects
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200506)Geometric active contours are formulated in a manner which is parametrization independent. As such, they are amenable to representation as the zero level set of the graph of a higher dimensional function. This representation ... 
Particle Filtering for Registration of 2D and 3D Point Sets with Stochastic Dynamics
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200806)In this paper, we propose a particle filtering approach for the problem of registering two point sets that differ by a rigid body transformation. Typically, registration algorithms compute the transformation parameters by ... 
Particle Filtering with Dynamic Shape Priors
(Georgia Institute of TechnologySpringer Verlag, 200609)Tracking deforming objects involves estimating the global motion of the object and its local deformations as functions of time. Tracking algorithms using Kalman filters or particle filters have been proposed for tracking ... 
Particle Filters for Infinite (or Large) Dimensional State Spaces Part 1
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200605)We propose particle filtering algorithms for tracking on infinite (or large) dimensional state spaces. We consider the general case where state space may not be a vector space, we assume it to be a separable metric space ... 
Phase transitions, curve evolution, and the control of semiconductor manufacturing processes
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199612)This paper presents a strategy for the estimation and control of certain semiconductor manufacturing processes, employing models developed to describe the dynamics of material interfaces in phase transition problems. ... 
Point Set Registration via Particle Filtering and Stochastic Dynamics
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 20090716)In this paper, we propose a particle filtering approach for the problem of registering two point sets that differ by a rigid body transformation. Typically, registration algorithms compute the transformation parameters by ... 
Population Analysis of the Cingulum Bundle using the Tubular Surface Model for Schizophrenia Detection
(Georgia Institute of TechnologyInternational Society for Optical Engineering, 20100216)We propose a novel framework for population analysis of DWMRI data using the Tubular Surface Model. We focus on the Cingulum Bundle (CB)  a major tract for the Limbic System and the main connection of the Cingulate Gyrus, ... 
Preliminary musynthesis design for the ATB1000
(Georgia Institute of TechnologyU.S. Army Research Office, 199209)A preliminary µsynthesis controller for the Army's ATB1000 test fixture is designed and analyzed. For comparison, two SISO controller designs are also described. The test fixture is pattered after the Apache helicopter's ... 
Pseudorational functions and H∞ theory
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199406)The H∞ optimization problem for a class of distributed parameter systems is studied. This class is called pseudorational, and is particularly in close relationship with Sarason's interpolation theorem (1967). A general ... 
RealTime Control of Etching Processes: Experimental Results
(Georgia Institute of TechnologyInternational Society for Optical Engineering, 19971001)A unified approach to the modelling, simulation, and control of thin film processing is presented. The focus of this approach is to combine insitu sensing with a model that deals directly with evolving surfaces. Using ... 
Relevance Vector Machine Learning for Neonate Pain Intensity Assessment Using Digital Imaging
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 201006)Pain assessment in patients who are unable to verbally communicate is a challenging problem. The fundamental limitations in pain assessment in neonates stem from subjective assessment criteria, rather than quantifiable ... 
Remarks on H∞ optimization multivariate distributed systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198812)The results of a study of H∞optimization for multivariable distributed systems are summarized. A skew Toeplitz framework has been used. The problem has been reduced to finding the singular values of a certain operator ... 
Robotic Manipulators and the Geometry of Real Semialgebraic Sets
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 19870801)Some modern techniques are applied from real semialgebraic geometry to the robotic manipulator problem. In particular, using the notion of "metric entropy," the complexity of maneuvering the manipulator from state to state ... 
Robust Control and Tracking
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200012)Considers some problems in active vision for which techniques in robust control may be very relevant. In particular, we discuss eye tracking problems. We also survey some key ideas from active vision including optical flow ...