Browsing Biomedical Imaging Lab (Minerva Research Group) by Title
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Behavioral analysis of anisotropic diffusion in image processing
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199611)In this paper, we analyze the behavior of the anisotropic diffusion model of Perona and Malik (1990). The main idea is to express the anisotropic diffusion equation as coming from a certain optimization problem, so its ... 
Blind deconvolution of medical ultrasound images: parametric inverse filtering approach
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200712)The problem of reconstruction of ultrasound images by means of blind deconvolution has long been recognized as one of the central problems in medical ultrasound imaging. In this paper, this problem is addressed via proposing ... 
Causal power series and the nonlinear standard H∞ problem
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199712)Using a power series approach, we describe a design procedure applicable to analytic nonlinear plants. Our technique is a generalization of the linear H∞ theory. We can now use this theory to solve the full standard problem ... 
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 ... 
Color histogram equalization through mesh deformation
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200309)In this paper we propose an extension of grayscale histogram equalization for color images. For aesthetic reasons, previously proposed color histogram equalization techniques do not generate uniform color histograms. Our ... 
Comparative Analysis of Kernel Methods for Statistical Shape Learning
(Georgia Institute of TechnologySpringer Verlag, 200605)Prior knowledge about shape may be quite important for image segmentation. In particular, a number of different methods have been proposed to compute the statistics on a set of training shapes, which are then used for a ... 
Computational Algebraic Geometry and Switching Surfaces in Optimal Control
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199912)A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. Recently, a powerful ... 
Computational methods for the H∞ control of distributed systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199112)Some explicit design examples using a frequencydomain (skew Toeplitz) approach in the H∞ optimization of distributed systems are discussed. The emphasis is on the computational aspects of this methodology, which allows ... 
Conformal Flattening ITK Filter
(Georgia Institute of TechnologyInsight Software Consortium, 20061001)This paper describes the Insight Toolkit (ITK) Conformal Flattening filter: itkConformalFlatteningFilter. This ITK filter is an implementation of a paper by Sigurd Angenent, et al., "On the LaplaceBeltrami Operator and ... 
Conformal flattening maps for the visualization of vessels
(Georgia Institute of TechnologySociety of PhotoOptical Instrumentation Engineers, 20020224)In this note, we employ a conformal mapping technique for flattening branching tubular structures for visualization of MRA and CT volumetric vessel imagery. This may be used for the study of possible vessel pathology ... 
Conformal Flattening of Brain Ventricles
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200610) 
Conformal Surface Parameterization for Texture Mapping
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200004)We give an explicit method for mapping any simply connected surface onto the sphere in a manner which preserves angles. This technique relies on certain conformal mappings from differential geometry. Our method provides a ... 
ConservationMinded Evolution of Shape
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199009)Most natural and artificial systems rely heavily on vision to recognize, manipulate, and navigate within a world of objects. Although shape is a key element in this process, its representation and analysis have proved to ... 
A Constructive Solution to the GainPhase Margin Problem
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199212)The authors present an algorithm for solving a certain class of robust stabilization problems where the uncertainty is independent of frequency. This amounts to solving a NevanlinnaPick interpolation problem together with ... 
Control of SlowlyVarying Linear Systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198912)State feedback control of slowly varying linear continuoustime and discretetime systems with bounded coefficient matrices is studied in terms of the frozentime approach. This study centers on pointwise stabilizable ... 
Controller Design for Unstable Distributed Plants
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199005)In this paper we solve the H∞ mixed sensitivity minimization problem for a class of unstable distributed systems. The solution is based on an extension of the skew Toeplits methodology developed in [1], [3], [4], [6], [10]. ... 
Controller Synthesis with Guaranteed ClosedLoop Phase Constraints
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200712)In this paper, we present an analysis and synthesis framework for guaranteeing that the phase of a singleinput, singleoutput closedloop transfer function is contained in the interval [alpha, alpha] for a given alpha>0 ... 
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 ... 
Cubical homology and the topological classification of 2D and 3D imagery
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200110)There are a number of tasks in low level vision and image processing that involve computing certain topological characteristics of objects in a given image including connectivity and the number of holes. We combine a new ... 
Curve Evolution Models for RealTime Identification with Application to Plasma Etching
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199901)It is desirable, in constructing an algorithm for realtime control or identification of free surfaces, to avoid representations of the surface requiring mesh refinement at corners or special logic for topological transitions. ...