NSTL国家科技图书文献中心

1. Improved landslide prediction by considering continuous and discrete spatial dependency NSTL国家科技图书文献中心

Fang, Zhice | Wang, Jingjing ... - 《Landslides》 - 2025,22(4) - 1107～1122 - 共16页

摘要： models (GAMs) that incorporate Duchon* spline (DS) and* | Landslide spatial prediction studies | predominantly focus on estimating the likelihood of landslide | occurrence by considering a set of geo-environmental | factors. Nevertheless, most of these studies fail to

关键词： Landslide susceptibility | Spatial dependency | Duchon spline | Markov random fields | Generalized additive model

2. Data-based adaptive refinement of finite element thin plate spline NSTL国家科技图书文献中心

Fang L. | Stals L. - 《Journal of Computational and Applied Mathematics》 - 2024,451 - 共5页

摘要：© 2024 Elsevier B.V.The thin plate spline, as | introduced by Duchon, interpolates a smooth surface through | spline (TPSFEM) possesses similar smoothing properties | scattered data. It is computationally expensive when there | are many data points. The finite element thin plate

关键词： Adaptive refinement | Error indicator | Mixed finite element | Thin plate spline

3. Finite area smoothing with generalized distance splines SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Miller, David L. | Wood, Simon N. - 《Environmental and ecological statistics》 - 2014,21(4) - 715～731 - 共17页 - 被引量：20

摘要： thin plate spline smoothers proposed by Duchon | Most conventional spatial smoothers smooth | with respect to the Euclidean distance between | observations, even though this distance may not be a | meaningful measure of spatial proximity, especially when

关键词： Finite area smoothing | Generalized additive model | Multidimensional scaling | Spatial modelling | Splines

4. On local RBF approximation SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Hangelbroek, T. - 《Advances in computational mathematics》 - 2012,37(2) - 285～299 - 共15页

摘要： spline approximation. We give an equivalent | of Duchon. | The purpose of this paper is to investigate | RBF approximation with highly nonuniform centers | . Recently, DeVore and Ron have developed a notion of the

关键词： Approximation order | Error estimates | Nonlinear approximation | Optimal approximation | Radial basis functions | Scattered data | Surface splines | Thin-plate splines

5. Transfinite Thin Plate Spline Interpolation SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Bejancu, A. - 《Constructive approximation: An international journal for approximations and expansions》 - 2011,34(2) - 237～256 - 共20页 - 被引量：3

摘要： conditions is in fact a thin plate spline, i. e., it | minimizes a Duchon* type functional. The construction and* | Duchon's method of thin plate splines defines | a polyharmonic interpolant to scattered data | values as the minimizer of a certain integral

关键词： Adjoint natural conditions | Exponential L-splines | Polysplines | Radial basis functions | Transfinite interpolation

6. Polyharmonic Smoothing Splines and the Multidimensional Wiener Filtering of Fractal-Like Signals SCIE Web of Science核心 NSTL国家科技图书文献中心

Tirosh S. | Van De Ville D.... - 《IEEE Transactions on Image Processing》 - 2006,15(9) - 2616～2630 - 共15页

摘要： functional was initially introduced by Duchon* for the* | spline that is represented by a linear combination of | Duchon's solution in a fractional polyharmonic B-spline | prove that the above smoothing spline* can be optimally* | parameters (order of the spline* and smoothing strength*

关键词： Fractal image model | multidimensional Wiener filter | optimal multidimensional linear filtering | polyharmonic smoothing splines

7. A Duchon framework for the sphere SCIE Web of Science核心 NSTL国家科技图书文献中心

Hubbert S | Morton TM - 《Journal of Approximation Theory》 - 2004,129(1) - 28～57 - 共30页

摘要：. 12 (1978) 325) Duchon* presented a strategy for* | analysing the accuracy of surface spline* interpolants to* | In his fundamental paper (RAIRO Anal. Numer | sufficiently smooth target functions. In the mid-1990s | Duchon's strategy was revisited by Light and Wayne (J

关键词： approximation theory | spherical Fourier theory | radial basis functions

8. Implementing a Duchon Spline Based on Gauss-Newton DistributedOptimizer for Coupled Flow and Geomechanics NSTL国家科技图书文献中心

Horacio Florez | Michel Cancelliere - 《SPE Reservoir Simulation Conference (25RSC)》 - SPE Reservoir Simulation Conference - 2025, - 1～25 - 共25页

摘要： interpolating the resulting predictions with Duchon* splines* | Field-level reservoir compaction and | subsidence applications, CO2 or hydrogen storage | , hydraulicfracturing, etc., require computing an initial stress field | that must equilibrate itself, i.e., inputs such as

9. On Thin Plate Spline Interpolation NSTL国家科技图书文献中心

M. L?hndorf | J.M. Melenk - 《Spectral and high order methods for partial differential equations: Eleventh International conference on spectral and high order methods (ICOSAHOM 16), June 27 - July 1 2016, Rio de Janeiro, RJ, Brazil》 - International conference on spectral and high order methods - 2017, - 451～466 - 共16页

摘要： that the error estimates of Duchon* (RAIRO Anal Numér* | 12(4):325-334, 1978) for thin plate spline | very large thin plate spline* interpolation problems.* | We present a simple, PDE-based proof of the | result (Math Comput 70(234):719-737, 2001) by Johnson

NSTL主题词： THIN PLATES | splines (mathematics) | SPLINE INTERPOLATION | Interpolation

10. Research on stem taper equation of Scots pine based on generalized additive model

He P. | Xin S.... - 《Journal of Beijing forestry University》 - 2020,42(12) - 1～8

摘要： spline function (CR), Duchon spline function (DS | process, i.e. B-spline* function (BS), cubic regression* | ), Gaussian process smooth spline function (GP), P-spline | function (PS) and thin plate regression spline* function* | equation based on BS spline* has the highest prediction*

摘要： models (GAMs) that incorporate Duchon* spline (DS) and* | Landslide spatial prediction studies | predominantly focus on estimating the likelihood of landslide | occurrence by considering a set of geo-environmental | factors. Nevertheless, most of these studies fail to

关键词： Landslide susceptibility | Spatial dependency | Duchon spline | Markov random fields | Generalized additive model

摘要：© 2024 Elsevier B.V.The thin plate spline, as | introduced by Duchon, interpolates a smooth surface through | spline (TPSFEM) possesses similar smoothing properties | scattered data. It is computationally expensive when there | are many data points. The finite element thin plate

关键词： Adaptive refinement | Error indicator | Mixed finite element | Thin plate spline

摘要： thin plate spline smoothers proposed by Duchon | Most conventional spatial smoothers smooth | with respect to the Euclidean distance between | observations, even though this distance may not be a | meaningful measure of spatial proximity, especially when

关键词： Finite area smoothing | Generalized additive model | Multidimensional scaling | Spatial modelling | Splines

摘要： spline approximation. We give an equivalent | of Duchon. | The purpose of this paper is to investigate | RBF approximation with highly nonuniform centers | . Recently, DeVore and Ron have developed a notion of the

关键词： Approximation order | Error estimates | Nonlinear approximation | Optimal approximation | Radial basis functions | Scattered data | Surface splines | Thin-plate splines

摘要： conditions is in fact a thin plate spline, i. e., it | minimizes a Duchon* type functional. The construction and* | Duchon's method of thin plate splines defines | a polyharmonic interpolant to scattered data | values as the minimizer of a certain integral

关键词： Adjoint natural conditions | Exponential L-splines | Polysplines | Radial basis functions | Transfinite interpolation

摘要： functional was initially introduced by Duchon* for the* | spline that is represented by a linear combination of | Duchon's solution in a fractional polyharmonic B-spline | prove that the above smoothing spline* can be optimally* | parameters (order of the spline* and smoothing strength*

关键词： Fractal image model | multidimensional Wiener filter | optimal multidimensional linear filtering | polyharmonic smoothing splines

摘要：. 12 (1978) 325) Duchon* presented a strategy for* | analysing the accuracy of surface spline* interpolants to* | In his fundamental paper (RAIRO Anal. Numer | sufficiently smooth target functions. In the mid-1990s | Duchon's strategy was revisited by Light and Wayne (J

关键词： approximation theory | spherical Fourier theory | radial basis functions

摘要： interpolating the resulting predictions with Duchon* splines* | Field-level reservoir compaction and | subsidence applications, CO2 or hydrogen storage | , hydraulicfracturing, etc., require computing an initial stress field | that must equilibrate itself, i.e., inputs such as

摘要： that the error estimates of Duchon* (RAIRO Anal Numér* | 12(4):325-334, 1978) for thin plate spline | very large thin plate spline* interpolation problems.* | We present a simple, PDE-based proof of the | result (Math Comput 70(234):719-737, 2001) by Johnson

NSTL主题词： THIN PLATES | splines (mathematics) | SPLINE INTERPOLATION | Interpolation

摘要： spline function (CR), Duchon spline function (DS | process, i.e. B-spline* function (BS), cubic regression* | ), Gaussian process smooth spline function (GP), P-spline | function (PS) and thin plate regression spline* function* | equation based on BS spline* has the highest prediction*

关键词： Generalized additive model | Scots pine | Spline function | Taper equation

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： models (GAMs) that incorporate Duchon spline (DS) and | Landslide spatial prediction studies | predominantly focus on estimating the likelihood of landslide | occurrence by considering a set of geo-environmental | factors. Nevertheless, most of these studies fail to

关键词： Landslide susceptibility | Spatial dependency | Duchon spline | Markov random fields | Generalized additive model

摘要：© 2024 Elsevier B.V.The thin plate spline, as | introduced by Duchon, interpolates a smooth surface through | spline (TPSFEM) possesses similar smoothing properties | scattered data. It is computationally expensive when there | are many data points. The finite element thin plate

关键词： Adaptive refinement | Error indicator | Mixed finite element | Thin plate spline

摘要： thin plate spline smoothers proposed by Duchon | Most conventional spatial smoothers smooth | with respect to the Euclidean distance between | observations, even though this distance may not be a | meaningful measure of spatial proximity, especially when

关键词： Finite area smoothing | Generalized additive model | Multidimensional scaling | Spatial modelling | Splines

摘要： spline approximation. We give an equivalent | of Duchon. | The purpose of this paper is to investigate | RBF approximation with highly nonuniform centers | . Recently, DeVore and Ron have developed a notion of the

关键词： Approximation order | Error estimates | Nonlinear approximation | Optimal approximation | Radial basis functions | Scattered data | Surface splines | Thin-plate splines

摘要： conditions is in fact a thin plate spline, i. e., it | minimizes a Duchon type functional. The construction and | Duchon's method of thin plate splines defines | a polyharmonic interpolant to scattered data | values as the minimizer of a certain integral

关键词： Adjoint natural conditions | Exponential L-splines | Polysplines | Radial basis functions | Transfinite interpolation

摘要： functional was initially introduced by Duchon for the | spline that is represented by a linear combination of | Duchon's solution in a fractional polyharmonic B-spline | prove that the above smoothing spline can be optimally | parameters (order of the spline and smoothing strength

关键词： Fractal image model | multidimensional Wiener filter | optimal multidimensional linear filtering | polyharmonic smoothing splines

摘要：. 12 (1978) 325) Duchon presented a strategy for | analysing the accuracy of surface spline interpolants to | In his fundamental paper (RAIRO Anal. Numer | sufficiently smooth target functions. In the mid-1990s | Duchon's strategy was revisited by Light and Wayne (J

关键词： approximation theory | spherical Fourier theory | radial basis functions

摘要： interpolating the resulting predictions with Duchon splines | Field-level reservoir compaction and | subsidence applications, CO2 or hydrogen storage | , hydraulicfracturing, etc., require computing an initial stress field | that must equilibrate itself, i.e., inputs such as

摘要： that the error estimates of Duchon (RAIRO Anal Numér | 12(4):325-334, 1978) for thin plate spline | very large thin plate spline interpolation problems. | We present a simple, PDE-based proof of the | result (Math Comput 70(234):719-737, 2001) by Johnson

NSTL主题词： THIN PLATES | splines (mathematics) | SPLINE INTERPOLATION | Interpolation

摘要： spline function (CR), Duchon spline function (DS | process, i.e. B-spline function (BS), cubic regression | ), Gaussian process smooth spline function (GP), P-spline | function (PS) and thin plate regression spline function | equation based on BS spline has the highest prediction

关键词： Generalized additive model | Scots pine | Spline function | Taper equation

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： models (GAMs) that incorporate Duchon* spline (DS) and* | Landslide spatial prediction studies | predominantly focus on estimating the likelihood of landslide | occurrence by considering a set of geo-environmental | factors. Nevertheless, most of these studies fail to

摘要： conditions is in fact a thin plate spline, i. e., it | minimizes a Duchon* type functional. The construction and* | Duchon's method of thin plate splines defines | a polyharmonic interpolant to scattered data | values as the minimizer of a certain integral

摘要： functional was initially introduced by Duchon* for the* | spline that is represented by a linear combination of | Duchon's solution in a fractional polyharmonic B-spline | prove that the above smoothing spline* can be optimally* | parameters (order of the spline* and smoothing strength*

摘要：. 12 (1978) 325) Duchon* presented a strategy for* | analysing the accuracy of surface spline* interpolants to* | In his fundamental paper (RAIRO Anal. Numer | sufficiently smooth target functions. In the mid-1990s | Duchon's strategy was revisited by Light and Wayne (J

摘要： interpolating the resulting predictions with Duchon* splines* | Field-level reservoir compaction and | subsidence applications, CO2 or hydrogen storage | , hydraulicfracturing, etc., require computing an initial stress field | that must equilibrate itself, i.e., inputs such as

摘要： that the error estimates of Duchon* (RAIRO Anal Numér* | 12(4):325-334, 1978) for thin plate spline | very large thin plate spline* interpolation problems.* | We present a simple, PDE-based proof of the | result (Math Comput 70(234):719-737, 2001) by Johnson

摘要： spline function (CR), Duchon spline function (DS | process, i.e. B-spline* function (BS), cubic regression* | ), Gaussian process smooth spline function (GP), P-spline | function (PS) and thin plate regression spline* function* | equation based on BS spline* has the highest prediction*