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Based on variation function theory and its structural analysis, the author realizes the unbiased optimal estimation on regional variations in finite regions through spatial local difference algorithm. ... orientation of sample points, spatial position relation with unknown sample points and structural information provided by variation functions. ... Three-dimensional interpolation data model calculation based on Kriging interpolation Specific steps of the three-dimensional interpolation data model calculation based on Kriging interpolation are as ...doi:10.12783/dtetr/emme2016/9782 fatcat:krvifxlhgjey5dbwo7sg2vjuuy
Moreover, an interpolated function which is capable of predicting the directional changes of this axis is proposed. ... In this study, effects of some of the foot modelling assumptions on the ankle kinematics and dynamics are investigated based on the experimental data. ... The moment of inertias are expressed in the local axes. ...doi:10.1016/j.mechmachtheory.2015.07.003 fatcat:nk36oghlvjbghe2qooygmzvnsy
The use of interpolation schemes that preserve discontinuities in velocity at material contacts can result in a random-walk model that does not locally conserve mass unless a correction is applied at these ... The random-walk method for simulating solute transport in porous media is typically based on the assumption that the velocity and velocity-dependent dispersion tensor vary smoothly in space. ... EPA (R819658) Center for Ecological Health Research at U.C. Davis, and NIEHS Superfund Grant (ES-04699). Although the information in this document has been funded in part by the U.S. ...doi:10.1029/95wr03528 fatcat:u64fvrpjtngmpaknsd6ij2mbe4
2003 IEEE International Symposium on Electromagnetic Compatibility, 2003. EMC '03.
DIRECT yields a deterministic answer with a fast convergence bound and inherits both local and global optimization properties. ... This proposed hybrid optimization routine is applied here to two examples dealing with electromagnetic coupling reduction. ... At the first iteration, DIRECT samples the center of the design space, subdivides the domain into two and samples at the center of the sub-domains during the next iteration. ...doi:10.1109/icsmc2.2003.1429098 fatcat:dm45a4cbtvbwrdrpgzvoud6oni
Lecture Notes in Computer Science
The algorithm is associated with the problem of force calculation in many-body calculations. ... This paper discusses the scalability properties of a novel algorithm for the rapid evaluation of radial basis function interpolants. ... This is in contrast to the fmm where significant differences exist between the two and the three dimensional cases. ...doi:10.1007/3-540-45417-9_40 fatcat:krncgylnp5g5nliyxdpbnbrjga
The behavior of these approaches was furthermore analyzed in two-dimensional heterogeneous hydraulic conductivity fields, which are characterized by different random function models. ... Three different numerical approaches to overcome the local mass conservation problem of the random walk methodology are examined: (i) the interpolation method, (ii) the reflection principle, and (iii) ... The authors would also like to thank Eduardo Cassiraga for his support with the illustrations. ...doi:10.1016/j.jconhyd.2006.05.005 pmid:16839642 fatcat:mq5tyxnfezgcvaczvsc5orm6ua
The plumes were created with one of two methods, a two-dimensional flux application and an initial resident distribution. ... This paper explains the experimental methodology, summarizes the relevant site characteristics, and describes the observed transport based on the zeroth and first order spatial moments. ... The procedure chosen for computation of the moments was a three-dimensional interpolation of the data using an inverse distance weighting scheme. ...doi:10.1029/91wr00183 fatcat:dhg7h42mmvae3bjirmktqni4wm
When applied to low aspect ratio (≤ 100) triangles and expansions with degree up to 32, it is accurate and efficient compared to simple two-dimensional Gauss-Legendre quadrature. ... This method has been implemented and found use in conjunction with a simple piecewise constant collocation scheme, but is generalizable to non-uniform charge densities. ... It is clear from inspection of Equations (B3) and (B4) that multiplication (·) over the polynomials in R [u, v] corresponds with the two dimensional convolution ( * ) of the two matrices formed from ...doi:10.2528/pierb15061904 fatcat:gkw6i4zg75hizi6tugaqihsrau
Conservation forms are generated on coarse scales by additional defect correction terms which counter the local excess fluxes at the boundaries. ... [6, 8, 9] A two dimensional schematic of the composite mesh examined here is presented in Figure 1 , with two nested patches within a full domain. ... First, average over the direction normal to the boundary surface, compute the two gradient terms on the rhs of Eqn. 18, and then average over the other two directions. ...arXiv:physics/9805025v2 fatcat:lky3gqhbxfgsbjjeaycd5zpqte
In this paper we describe a new technique for 1-D and 2-D edge feature extraction to subpixel accuracy using edge models and the local energy approach. ... The predicate-based algorithm is applied to the edge pixels in the new coordinate frame (in the direction H) and each edge pixel labeled with its edge type. ... The extension to two-dimensional signals is described in Section V, followed by the results in Section VI. FEATURE DETECTION USING LOCAL ENERGY Analyzing visual features, Morrone et ul. ...doi:10.1109/34.277593 fatcat:mnjmvrrrkfeh3kdutpvwu5ssum
The first example investigated two-dimensional steady-state Poiseuille flow between two parallel walls. ... The discrete velocity vector is given below in (2) and shown in Fig. 1 for the D2Q9-a two-dimensional square lattice model with nine discrete velocity vectors. where c is the lattice speed. ...doi:10.5516/net.2009.41.5.649 fatcat:qgxwolbfq5cd5gk76o5za4pc7a
solutions associated with the aerodynamic coefficients of lift, drag and pitching moment. ... This research work aims at benchmarking two different approaches: an approximation by radial basis functions and a piecewise linear multivariable interpolation in terms of their effectiveness and efficiency ... Like the two-dimensional situation, multivariable interpolation offers a faster calculation time even when compared to multiquadric functions with only 225 of the 6375 possible centers (MQ C(3,3,5,5)). ...doi:10.1155/2021/6615601 doaj:398040d54eb446fa8a82fe4210d4adbf fatcat:56ax7x4jd5hrtibuizu2oezru4
In other words, the initially sought e n tities cross moments of the gradient components as required by eq.2 are directly and linearly related to the estimate of the two dimensional autocorrelation function ... ORIENTATION IN THE 2D CASE Without loss of generality, w e consider two dimensional signals in the following. ...doi:10.5281/zenodo.37578 fatcat:f6an734pzzch3kghfq5tapwfnq
The problem addressed here is the detection of a discontinuity of a two-dimensional function f in the presence of noise. The tech- nique proposed is the use of a two-dimensional wavelet transform. ... In general, the computation of the coefficients of the three-term recurrence relation is based on the moments of the underlying measure. ...
The cell-wise local interpolation reconstruction is built based on both the VIA and the PV moments, which results in a scheme of almost third order accuracy. ... In Section 2, we describe at first the multi-moment finite volume formulation with local approximate Riemann solver to update the PVs for one dimensional hyperbolic equation. ... Two dimensional perturbation with bottom topographic effect This numerical test is widely used to evaluate numerical schemes for shallow water equations with source terms of bottom topography in 2D [22 ...doi:10.1016/j.jcp.2010.02.023 fatcat:bv3gudk2wbbtzhlyvzvdt6kxja
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