Browsing Biomedical Imaging Lab (Minerva Research Group) by Title
Now showing items 158177 of 210

Segmentation of the Endocardial Wall of the Left Atrium using Local RegionBased Active Contours and Statistical Shape Learning
(Georgia Institute of TechnologyInternational Society for Optical Engineering, 20100214)Atrial fibrillation, a cardiac arrhythmia characterized by unsynchronized electrical activity in the atrial chambers of the heart, is a rapidly growing problem in modern societies. One treatment, referred to as catheter ... 
Segmenting Images Analytically in Shape Space
(Georgia Institute of TechnologySociety of PhotoOptical Instrumentation Engineers, 200802)This paper presents a novel analytic technique to perform shapedriven segmentation. In our approach, shapes are represented using binary maps, and linear PCA is utilized to provide shape priors for segmentation. Intensity ... 
Segmenting Images on the Tensor Manifold
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200706)In this note, we propose a method to perform segmentation on the tensor manifold, that is, the space of positive definite matrices of given dimension. In this work, we explicitly use the Riemannian structure of the tensor ... 
ShapeBased Approach to Robust Image Segmentation using Kernel PCA
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200606)Segmentation involves separating an object from the background. In this work, we propose a novel segmentation method combining image information with prior shape knowledge, within the levelset framework. Following the ... 
Single nucleotide RNA choreography
(Georgia Institute of TechnologyOxford University Press, 20060310)New structural analysis methods, and a tree formalism redefine and expand the RNA motif concept, unifying what previously appeared to be disparate groups of structures. We find RNA tetraloops at high frequencies, in new ... 
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 ... 
Skew Toeplitz theory and pseudorational transfer functions
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199412)A state space version of the skew Toeplitz theory for (distributed) H∞ optimization theory is presented. The approach combines this theory with the realization theory for pseudorational transfer functions. 
Soft Architecture: Ambient Responsive Media for Collective and Parallel Play
(Georgia Institute of Technology, 200310)We describe a prototype testbed for responsive environments built for free, improvisatory play. The demonstration installations are built using elements of the next generation of the media choreography system built for ... 
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 ... 
A solution to the standard H∞ problem for multivariable distributed systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198912)The authors summarize the results of previous work in which they studied the problem of the H∞ optimal control of multivariable distributed systems in the fourblock setting. The skew Toeplitz framework is employed. 
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 ... 
A Spectral Commutant Lifting Theorem
(Georgia Institute of TechnologyAmerican Mathematical Society, 199106) 
Spectral NevanlinnaPick interpolation theory and robust stabilization
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198712)In this note we will discuss a new kind of interpolation theory in which one bounds the spectral radius of the matrixvalued interpolating functions instead of the norm as is the case with ordinary NevanlinnaPick ... 
Spectral radius interpolation and robust control
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198912)In a previous paper (1987) Tannenbaum discussed an interpolation problem closely related to the multivariate gain margins of J.C. Doyle (1984) and M.G. Safonov (1980). For this interpolation problem, it is necessary to ... 
Spectral Tangential Interpolation and Gain Margin Problems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199005)In this note we will discuss a new kind of interpolation theory in which one bounds the spectral radius of the matrixvalued interpolating functions instead of the norm as is the case with ordinary NevanlinnaPick ... 
Stability Margin Optimization via Interpolation and Conformal Mappings
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199506)Many interesting problems of robust stabilization can be solved using the complex function theoretic approach of Khargonekar and Tannenbaum (1985). This method is based on the construction of a conformal mapping which ... 
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 ... 
State Space Formulae for the Gap Computation
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199612)It is widely recognized that the computation of the gap metric is equivalent to a two block Hx problem or the norm computation of a two block “Hankel+Toeplitz” operator. However, it can also be characterized as the smallest ... 
Statistical Shape Analysis using Kernel PCA
(Georgia Institute of TechnologySociety of PhotoOptical Instrumentation Engineers, 200601)Mercer kernels are used for a wide range of image and signal processing tasks like denoising, clustering, discriminant analysis etc. These algorithms construct their solutions in terms of the expansions in a highdimensional ... 
Statistical Shape Learning for 3D Tracking
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200912)In this note, we consider the use of 3D models for visual tracking in controlled active vision. The models are used for a joint 2D segmentation/3D pose estimation procedure in which we automatically couple the two processes ...