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Generalization and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals

January 15, 2014

Author(s)

Howard S. Cohl, Connor M. MacKenzie

In this paper we generalize and specialize generating functions for classical orthogonal polynomials, namely Jacobi, Gegenbauer, Chebyshev and Legendre polynomials. We derive a generalization of the generating function for Gegenbauer polynomials through

Feature Measures for the Segmentation of Neuronal Membrane using Machine Learning Algorithm

January 6, 2014

Author(s)

Afzal A. Godil, Saadia S. Iftikhar

In this paper, we present a Support Vector Machine (SVM) based pixel classifier for a semi-automated segmentation algorithm to detect neuronal membrane structures in stacks of electron microscopy images of brain tissue samples. This algorithm uses high-

Connection of Kinetic Monte Carlo Model for Surfaces to Step-Continuum Theory in 1+1 Dimensions

January 1, 2014

Author(s)

Paul N. Patrone, Dionisios Margetis

The Detection of Neuronal Structures using a Patch-based Multi-features and Support Vector Machines Learning Algorithm

December 24, 2013

Author(s)

Saadia S. Iftikhar, Afzal A. Godil

In this research, we present an (semi-) automated segmentation algo-rithm using a Support Vector Machine classifier. This algorithm uses a high-dimensional feature space generated from patch-based multiple-features and a training dataset in order to detect

A comparison of methods for sketch-based 3D shape retrieval

December 13, 2013

Author(s)

Afzal A. Godil

Sketch-based 3D shape retrieval has become an important research topic in content-based 3D object retrieval. To foster this research area, two Shape Retrieval Contest (SHREC) tracks on this topic have been organized by us in 2012 and 2013 based on a small

PROCESS DESCRIPTION AND ANALYTICS FORMALISM FOR DECISION GUIDANCE IN SUSTAINABLE MANUFACTURING

November 20, 2013

Author(s)

Alexander Brodsky, Guodong Shao, Frank H. Riddick

This paper introduces NIST's Sustainable Process Analytics Formalism (SPAF) to facilitate the use of simulation and optimization technologies for decision support in sustainable manufacturing. SPAF allows formal modeling of modular, extensible, and

Successive Frequency Domain Minimization for Time Delay Estimation

November 12, 2013

Author(s)

Ismet Sahin, Marwan A. Simaan, Anthony J. Kearsley

Estimating time delays for signal alignment is important for many applications. This paper extends a successful frequency domain cost function minimization algorithm capable of estimating time delays to within a fraction of sampling periods. Since a narrow

Combining Genetic Algorithms & Simulation to Search for Failure Scenarios in System Models

October 28, 2013

Author(s)

Kevin L. Mills, Christopher E. Dabrowski, James J. Filliben, Sanford P. Ressler

Large infrastructures, such as clouds, can exhibit substantial outages, sometimes due to failure scenarios that were not considered during system design. We define a method that uses a genetic algorithm (GA) to search system simulations for parameter

Single Diode Equivalent Circuit Models

September 12, 2013

Author(s)

Matthew T. Boyd, Clifford Hansen

Theoretical Failure Envelopes of Open Hole Composite Laminates with A- and B-Basis Allowables Estimated from Smooth Specimen Properties

July 29, 2013

Author(s)

Jeffrey Fong, Carlos A. Cimini, Jose D. Melo, N. Alan Heckert, James J. Filliben

Composite material property databases are important information to guide designers. Aeronautical companies spend a great deal of effort in terms of money and labor to build such databases, which are considered confidential. The development of a single

Hybrid shape descriptor and meta similarity generation for non-rigid and partial 3D model retrieval

July 26, 2013

Author(s)

Afzal A. Godil

Non-rigid and partial 3D model retrieval are two significant and challenging research directions in the field of 3D model retrieval. Little work has been done in proposing a hybrid shape descriptor that works for both retrieval scenarios, let alone the

Shape Calculus for Shape Energies in Image Processing

July 22, 2013

Author(s)

Gunay Dogan, Ricardo H. Nochetto

Many image processing problems are naturally expressed as energy minimization or shape optimization problems, in which the free variable is a shape, such as a curve in 2d or a surface in 3d. Examples are image segmentation, multiview stereo reconstruction

On the Delay and Data Rate Performance of Throughput-Efficient Multi-Channel Access Algorithms in Cognitive Radio Networks

July 8, 2013

Author(s)

Kamran Sayrafian, Luca Zappaterra, Hyeong-Ah Choi, Jari Iinatti

Cognitive Radio Networks (CRNs) are designed to increase spectrum utilization by allowing unlicensed secondary users (SUs) to operate over existing wireless channels where primary users (PUs) have license to transmit. An SU searches for channels not

Separation of variables in an asymmetric cyclidic coordinate system

June 27, 2013

Author(s)

Howard S. Cohl, Hans Volkmer

A global analysis is presented of solutions for Laplace's equation on three-dimensional Euclidean space in one of the most general orthogonal asymmetric confocal cyclidic coordinate system which admits solutions through separation of variables. We refer to

Quantifying Network Topology Robustness Under Budget Constraints

June 24, 2013

Author(s)

Assane Gueye, Aron Lazska

To design robust network topologies that resist strategic attacks, one must first be able to quantify robustness. In a recent line of research, the theory of network blocking games has been used to derive robustness metrics for topologies. A network

Registration of Six Degrees of Freedom Data with Proper Handling of Positional and Rotational Noise

June 6, 2013

Author(s)

Marek Franaszek

When two six degrees of freedom (6DOF) data are registered (e.g., robot-world/hand-eye calibration), a transformation is sought which minimizes the misalignment between the two datasets. Often, the measure of misalignment is the sum of the positional and

SHREC13 Track: Large Scale Sketch-Based 3D Shape Retrieval

June 6, 2013

Author(s)

Afzal A. Godil, Bo Li , Yijuan Lu, Tobias Schreck

Sketch-based 3D shape retrieval has become an important research topic in content-based 3D object retrieval. The aim of this track is to measure and compare the performance of sketch-based 3D shape retrieval methods based on a large scale hand-drawn sketch

Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems

June 5, 2013

Author(s)

Howard S. Cohl

We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series representations we derive Fourier

Continuum-based free vibration of circular trigonal and isotropic plates

May 28, 2013

Author(s)

Ward L. Johnson, Paul R. Heyliger

The free vibration behavior of completely unrestrained elastic circular plates with trig- onal and isotropic material symmetry is studied using approximate solutions to the three- dimensional theory of linear elasticity. Of primary interest are 1) the

Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals

April 30, 2013

Author(s)

Howard S. Cohl, Connor M. MacKenzie

We generalize generating functions for hypergeometric orthogonal polynomials, namely Jacobi, Gegenbauer, Laguerre, and Wilson polynomials. These generalizations of generating functions are accomplished through series rearrangement using connection

Limits in Modeling Power Grid Topology

April 29, 2013

Author(s)

Brian D. Cloteaux

Because of their importance to infrastructure, a number of studies have examined the structural properties of power grids and have proposed random topological models of them. We examine the ability to create generalized models of power grid structure by

Modeling Scanning Electron Microscope Measurements with Charging

April 3, 2013

Author(s)

John S. Villarrubia

Contact function, uniform-thickness shell volume, and convexity measure for 3D star-shaped random particles

March 15, 2013

Author(s)

Edward J. Garboczi, Jeffrey W. Bullard

Using a spherical harmonic series, the three-dimensional shape of star-shaped particles can be represented mathematically as readily as can a sphere, cube, or ellipsoid. In principle, any particle parameter, such as volume, surface area, moment of inertia

On a generalization of the generating function for Gegenbauer polynomials

January 28, 2013

Author(s)

Howard S. Cohl

We derive a Gegenbauer polynomial expansion for complex powers of the distance between two points in $d$-dimensional Euclidean space. The argument of the Gegenbauer polynomial in the expansion is given by the cosine of the separation angle between the two

Bubble motion and size variation during thermal migration with phase change

January 1, 2013

Author(s)

Asha K. Nurse, Geoffrey B. McFadden, Sam R. Coriell

An analysis of the motion of a spherical bubble in a two-phase, single component system with a vertical linear temperature gradient is presented. The model for the migration of an immiscible bubble under the effects of buoyancy and thermocapillarity