# Publications Portal

You searched on:
Topic Area: Modeling
Sorted by: title

Displaying records 61 to 70 of 138 records.
Resort by: Date / Title

61. Fourier Expansions for a Logarithmic Fundamental Solution of the Polyharmonic Equation
Topic: Modeling
Published: 9/28/2012
Author: Howard S Cohl
Abstract: In even-dimensional Euclidean space for integer powers of the Laplacian greater than or equal to the dimension divided by two, a fundamental solution for the polyharmonic equation has logarithmic behavior. We give two approaches for developing a Fou ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=910119

62. Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry
Topic: Modeling
Published: 3/23/2012
Authors: Howard S Cohl, Ernie G. Kalnins
Abstract: Due to the isotropy of d-dimensional hyperbolic space, there exists a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator. The R-radius hyperboloid model of hyperbolic geometry with R > 0 represents a Riemannian ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=908852

63. 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

64. From atoms to steps: the microscopic origins of crystal growth.
Topic: Modeling
Published: 7/1/2014
Authors: Paul N. Patrone, T L Einstein, Dionisios Margetis
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=914829

65. Front Matter for Special Issue of NIST Journal of Research in honor of Christoph Witzgall
Series: Journal of Research (NIST JRES)
Topic: Modeling
Published: 3/31/2006
Authors: David E. Gilsinn, Ronald F Boisvert
Abstract: This front matter for a special issue of the NIST Journal of Research contains a photograph and biography of Christoph Witzgall. It also contains a thank you paragraph by Christoph Witzgall for a symposium held in his honor. Many of the papers in thi ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150660

66. Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Topic: Modeling
Published: 11/29/2011
Author: Howard S Cohl
Abstract: Due to the isotropy of $d$-dimensional hyperspherical space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator. The $R$-radius hypersphere ${\mathbf S}_R^d$ with $R>0$, represents ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=909273

67. Gauging the Repeatability of 3D Imaging Systems by Sphere Fitting
Topic: Modeling
Published: 9/30/2009
Authors: Marek Franaszek, Geraldine S Cheok, Kamel Shawki Saidi
Abstract: Multiple scans of the same object acquired with 3D imaging system (e.g., laser scanner) in the same experimental conditions could provide valuable information about the instrument s performance (e.g., stability, existence of bias, measurement error). ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=903444

68. Generalization and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals
Topic: Modeling
Published: 1/15/2014
Authors: Howard S Cohl, Connor M. MacKenzie
Abstract: 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 thro ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=911943

69. 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

70. Hybrid shape descriptor and meta similarity generation for non-rigid and partial 3D model retrieval
Topic: Modeling
Published: 7/26/2013
Author: Afzal A Godil
Abstract: 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 ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913720

## Search NIST-wide:

(Search abstract and keywords)

Last Name:
First Name:

Special Publications:

Looking for a NIST Special Publication (NIST SP Series)? Place the series number and dash in the report number field (Example: 800-) and begin your search.

• SP 250-XX: Calibration Services
• SP 260-XX: Standard Reference Materials
• SP 300-XX: Precision Measurement and Calibration
• SP 400-XX: Semiconductor Measurement Technology
• SP 480-XX: Law Enforcement Technology
• SP 500-XX: Computer Systems Technology
• SP 700-XX: Industrial Measurement Series
• SP 800-XX: Computer Security Series
• SP 823-XX: Integrated Services Digital Network Series