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1,521
Valid inequalities based on the interpolation procedure
 Mathematical Programming
, 2006
"... We study the interpolation procedure of Gomory and Johnson (1972), which generates cutting planes for general integer programs from facets of cyclic group polyhedra. This idea has recently been reconsidered by Evans (2002) and Gomory, Johnson and Evans (2003). We compare inequalities generated by t ..."
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Cited by 9 (3 self)
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We study the interpolation procedure of Gomory and Johnson (1972), which generates cutting planes for general integer programs from facets of cyclic group polyhedra. This idea has recently been reconsidered by Evans (2002) and Gomory, Johnson and Evans (2003). We compare inequalities generated
A General Multipurpose Interpolation Procedure: The Magic Points
 Communications on Pure and Applied Analysis
"... Abstract. Lagrangian interpolation is a classical way to approximate general functions by finite sums of well chosen, predefined, linearly independent interpolating functions; it is much simpler to implement than determining the best fits with respect to some Banach (or even Hilbert) norms. In add ..."
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Cited by 45 (11 self)
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Abstract. Lagrangian interpolation is a classical way to approximate general functions by finite sums of well chosen, predefined, linearly independent interpolating functions; it is much simpler to implement than determining the best fits with respect to some Banach (or even Hilbert) norms
Optimization and Evaluation of Database Queries Including Embedded Interpolation Procedures
 In Proc. ACM SIGMOD Symp. on the Management of Data
, 1991
"... Within this paper the incorporation of interpolation procedures into a database management systcm is described. The interpolation functions are used to calculate intermediate values of sequences of measurements. The consequences of this class of embedded procedures for query evaluation and optimizat ..."
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Cited by 15 (0 self)
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Within this paper the incorporation of interpolation procedures into a database management systcm is described. The interpolation functions are used to calculate intermediate values of sequences of measurements. The consequences of this class of embedded procedures for query evaluation
Global analyses of sea surface temperature, sea ice, and night marine air temperature since the late Nineteenth Century
 J. GEOPHYSICAL RESEARCH
, 2003
"... ... data set, HadISST1, and the nighttime marine air temperature (NMAT) data set, HadMAT1. HadISST1 replaces the global sea ice and sea surface temperature (GISST) data sets and is a unique combination of monthly globally complete fields of SST and sea ice concentration on a 1 ° latitudelongitude g ..."
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Cited by 539 (4 self)
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interpolation procedure, followed by superposition of qualityimproved gridded observations onto the reconstructions to restore local detail. The sea ice fields are made more homogeneous by compensating satellite microwavebased sea ice concentrations for the impact of surface melt effects on retrievals
The Abalone Interpolation  A Visual Interpolation Procedure for the Calculation of Cloud Movement
, 2002
"... For the production of smooth animation of flow simulation out of only several data steps many interpolated intermediate data steps are needed. Especially for the meteorological visualization of moving clouds for TV broadcasting purposes such interpolations are of high importance. The traditional met ..."
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For the production of smooth animation of flow simulation out of only several data steps many interpolated intermediate data steps are needed. Especially for the meteorological visualization of moving clouds for TV broadcasting purposes such interpolations are of high importance. The traditional
On a nonlinear interpolation procedure and its associated multiresolution scheme
, 2007
"... This paper surveys several topics related to a nonlinear centered piecewise polynomial interpolation technique and the associated multiresolution schemes. This interpolation leads to a nonlinear reconstruction operator with several desirable features: the reconstruction is fourthorder accurate in s ..."
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This paper surveys several topics related to a nonlinear centered piecewise polynomial interpolation technique and the associated multiresolution schemes. This interpolation leads to a nonlinear reconstruction operator with several desirable features: the reconstruction is fourthorder accurate
ReTiling Polygonal Surfaces
 Computer Graphics
, 1992
"... This paper presents an automatic method of creating surface models at several levels of detail from an original polygonal description of a given object. Representing models at various levels of detail is important for achieving high frame rates in interactive graphics applications and also for speed ..."
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Cited by 445 (3 self)
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curvature and 3) a method of smoothly interpolating between models that represent the same object at different levels of detail. The key notion in the retiling procedure is the creation of an intermediate model called the mutual tessellation of a surface that contains both the vertices from the original
An Interpolation Procedure for List Decoding Reed–Solomon Codes Based on Generalized Key Equations
, 2011
"... The key step of syndromebased decoding of Reed–Solomon codes up to half the minimum distance is to solve the socalled Key Equation. List decoding algorithms, capable of decoding beyond half the minimum distance, are based on interpolation and factorization of multivariate polynomials. This articl ..."
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Cited by 7 (0 self)
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The key step of syndromebased decoding of Reed–Solomon codes up to half the minimum distance is to solve the socalled Key Equation. List decoding algorithms, capable of decoding beyond half the minimum distance, are based on interpolation and factorization of multivariate polynomials
Sampling—50 years after Shannon
 Proceedings of the IEEE
, 2000
"... This paper presents an account of the current state of sampling, 50 years after Shannon’s formulation of the sampling theorem. The emphasis is on regular sampling, where the grid is uniform. This topic has benefited from a strong research revival during the past few years, thanks in part to the math ..."
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Cited by 339 (27 self)
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to the mathematical connections that were made with wavelet theory. To introduce the reader to the modern, Hilbertspace formulation, we reinterpret Shannon’s sampling procedure as an orthogonal projection onto the subspace of bandlimited functions. We then extend the standard sampling paradigm for a representation
Essentially nonoscillatory and weighted essentially nonoscillatory schemes for hyperbolic conservation laws
, 1998
"... In these lecture notes we describe the construction, analysis, and application of ENO (Essentially NonOscillatory) and WENO (Weighted Essentially NonOscillatory) schemes for hyperbolic conservation laws and related HamiltonJacobi equations. ENO and WENO schemes are high order accurate nite di ere ..."
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Cited by 270 (26 self)
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erence schemes designed for problems with piecewise smooth solutions containing discontinuities. The key idea lies at the approximation level, where a nonlinear adaptive procedure is used to automatically choose the locally smoothest stencil, hence avoiding crossing discontinuities in the interpolation
Results 1  10
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