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Topic Area: Modeling

Displaying records 11 to 20 of 131 records.
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11. Separation of variables in an asymmetric cyclidic coordinate system
Topic: Modeling
Published: 6/27/2013
Authors: Howard S Cohl, Hans Volkmer
Abstract: 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. ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=912737

12. Quantifying Network Topology Robustness Under Budget Constraints
Topic: Modeling
Published: 6/24/2013
Authors: Assane Gueye, Aron Lazska
Abstract: 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 netw ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=912970

13. Registration of Six Degrees of Freedom Data with Proper Handling of Positional and Rotational Noise
Series: Journal of Research (NIST JRES)
Report Number: 118.013
Topic: Modeling
Published: 6/6/2013
Author: Marek Franaszek
Abstract: 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 posit ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911131

14. SHREC‰13 Track: Large Scale Sketch-Based 3D Shape Retrieval
Topic: Modeling
Published: 6/6/2013
Authors: Afzal A Godil, Bo Li , Yijuan Lu, Tobias Schreck
Abstract: 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-draw ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913607

15. Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems
Topic: Modeling
Published: 6/5/2013
Author: Howard S Cohl
Abstract: 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 Fouri ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=912042

16. Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
Topic: Modeling
Published: 4/30/2013
Authors: Howard S Cohl, Connor M. MacKenzie
Abstract: 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 re ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=912037

17. Limits in Modeling Power Grid Topology
Topic: Modeling
Published: 4/29/2013
Author: Brian Dale Cloteaux
Abstract: 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913533

18. Modeling Scanning Electron Microscope Measurements with Charging
Topic: Modeling
Published: 4/3/2013
Author: John S Villarrubia
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=912857

19. On a generalization of the generating function for Gegenbauer polynomials
Topic: Modeling
Published: 1/28/2013
Author: Howard S Cohl
Abstract: 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 th ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908628

20. Bubble motion and size variation during thermal migration with phase change
Topic: Modeling
Published: 1/1/2013
Authors: Asha Kianga Nurse, Geoffrey B McFadden, Sam Ray Coriell
Abstract: 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 thermocapillari ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911852



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