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Topic Area: Math

Displaying records 191 to 200 of 231 records.
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191. Shape-Preserving, Multi-Scale Fitting of Bivariate Data by Cubic L^d1^ Smoothing Splines
Topic: Math
Published: 5/10/2002
Authors: David E. Gilsinn, J E Lavery
Abstract: Bivariate cubic L1 smoothing splines are introduced. The coefficients of a cubic L1 smoothing spline are calculated by minimizing the weighted sum of the L1 norms ofsecond derivatives of the spline and the l1 norm of the residuals of the data-fitting ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150830

192. Estimating Critical Hopf Bifurcation Parameters for a Second Order DelayDifferential Equation with Application to Machine Tool Chatter
Topic: Math
Published: 5/1/2002
Author: David E. Gilsinn
Abstract: Nonlinear time delay differential equations are well known to have arisen in models in physiology, biology and population dynamics. They have also arisen in models of metal cutting processes. Machine tool chatter, from a process called regenerative c ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150815

193. The Role of Rendering in the Competence Project in Measurement Science for Optical Reflection and Scattering
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 5/1/2002
Authors: H B Westlund, G W Meyer, Fern Y Hunt
Abstract: Rendering is the process of producing a synthetic image using a computer. The best known application is animation and simulation of scenes for the entertainment industry but recognition of its value as a tool for product design in other areas is incr ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150836

194. Lattice Symmetry and Identification--The Fundamental Role of Reduced Cells in Materials Characterization
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 2/1/2002
Author: Alan D. Mighell
Abstract: In theory, physical crystals can be represented by idealized mathematical lattices. Under appropriate conditions, these representations can be used for a variety of purposes such as identifying, classifying, and understanding the physical properties ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=850554

195. The Relegation Algorithm
Topic: Math
Published: 3/3/2001
Authors: A Deprit, E Deprit, Jesúus Palacián
Abstract: Given a perturbed Hamiltonian system, normalization yields a Lie transformation which converts the main part of the Hamiltonian into an integral of the transformed system. An extension of the normalization method--the relegation algorithm--does the s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150686

196. Constructing Sibson Elements for a Rectangular Mesh
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 6718
Topic: Math
Published: 2/1/2001
Author: David E. Gilsinn
Abstract: This paper documents the construction of a finite element, called the Sibson element. The shape function of this element is formed on rectangular grids by C^u1^ splines defined on a triangulation of each subrectangle by dividing it into four subtri ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150813

197. Analytic Continuation, Singular Value Expansions, and Kramers-Kronig Analysis
Topic: Math
Published: 1/17/2001
Authors: Andrew M Dienstfrey, L Greengard
Abstract: We describe a systematic approach to the recovery of a function analytic in the upper half plane, ${\bfC:^+$, from measurements over a finite interval on the real axis, $D\subset {\bfR}$. Analytic continuation problems of this type are well-known to ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150820

198. Lattice Sums and the Two-dimensional, Periodic Green s Function for the Helmholtz Equation
Topic: Math
Published: 1/16/2001
Authors: Andrew M Dienstfrey, Fengbo Hang, Jingfang Huang
Abstract: Many algorithms that are currently used for the solution of the Helmholtz equation in periodic domains require the evaluation of the Green s function, G(x, x0). The fact that the natural representation of G via the method of images gives rise to a co ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=901516

199. Multiresolution Representation of Urban Terrain By L^1^ Splines, L^2^ Splines, and Piecewise Planar Surfaces
Topic: Math
Published: 12/11/2000
Authors: J E Lavery, David E. Gilsinn
Abstract: Cubic L^d1^ and L^d2^ interpolating splines based on C^u1^ smooth piecewise cubic Sibson elements on a tensor-product grid are investigated. Computational tests were carried out for a 102.4 km area of Fort Hood, Texas represented by a 1025 x 1025 set ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150797

200. Direct Blind Deconvolution II. Substitute Images and the Beak Method
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 6570
Topic: Math
Published: 11/1/2000
Author: Alfred S Carasso
Abstract: The BEAK method is an FFT-based direct blind deconvolution technique previously introduced by the author, and applied to a limited but significant class of blurs that can be expressed as convolutions of 2-D symmetric L vy probability density function ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150807



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