A New Shape Function Based Spatiotemporal Interpolation Method

Lixin Li; Youming Li; Reinhard E. Piltner

doi:10.1007/978-3-540-25954-1_2

A New Shape Function Based Spatiotemporal Interpolation Method

Lixin Li
, Youming Li
, Reinhard E. Piltner

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper we propose a new spatiotemporal interpolation method for 3-D space and 1-D time geographic data. Similarly to the existing ST (space-time) product and the tetrahedral spatiotemporal interpolation methods, this new method is also based on shape functions. However, instead of only manipulating the time dimension as in the ST product and the tetrahedral methods, our new method combines 2-D shape functions in the (x,y) domain with the (z,t) domain shape functions. This method yields data that can be represented and queried in constraint databases and we discuss how to represent this new method in constraint databases. We also show certain unique properties of the new shape function based spatiotemporal interpolation method.

Original language	American English
Journal	Constraint Databases: Proceedings of the International Symposium on Constraint Databases and Applications
Volume	3074
DOIs	https://doi.org/10.1007/978-3-540-25954-1_2
State	Published - Jun 12 2004

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Mathematics

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Spatiotemporal Interpolation Method

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title = "A New Shape Function Based Spatiotemporal Interpolation Method",

abstract = " In this paper we propose a new spatiotemporal interpolation method for 3-D space and 1-D time geographic data. Similarly to the existing ST (space-time) product and the tetrahedral spatiotemporal interpolation methods, this new method is also based on shape functions. However, instead of only manipulating the time dimension as in the ST product and the tetrahedral methods, our new method combines 2-D shape functions in the (x,y) domain with the (z,t) domain shape functions. This method yields data that can be represented and queried in constraint databases and we discuss how to represent this new method in constraint databases. We also show certain unique properties of the new shape function based spatiotemporal interpolation method.",

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T1 - A New Shape Function Based Spatiotemporal Interpolation Method

AU - Li, Lixin

AU - Li, Youming

AU - Piltner, Reinhard E.

PY - 2004/6/12

Y1 - 2004/6/12

N2 - In this paper we propose a new spatiotemporal interpolation method for 3-D space and 1-D time geographic data. Similarly to the existing ST (space-time) product and the tetrahedral spatiotemporal interpolation methods, this new method is also based on shape functions. However, instead of only manipulating the time dimension as in the ST product and the tetrahedral methods, our new method combines 2-D shape functions in the (x,y) domain with the (z,t) domain shape functions. This method yields data that can be represented and queried in constraint databases and we discuss how to represent this new method in constraint databases. We also show certain unique properties of the new shape function based spatiotemporal interpolation method.

AB - In this paper we propose a new spatiotemporal interpolation method for 3-D space and 1-D time geographic data. Similarly to the existing ST (space-time) product and the tetrahedral spatiotemporal interpolation methods, this new method is also based on shape functions. However, instead of only manipulating the time dimension as in the ST product and the tetrahedral methods, our new method combines 2-D shape functions in the (x,y) domain with the (z,t) domain shape functions. This method yields data that can be represented and queried in constraint databases and we discuss how to represent this new method in constraint databases. We also show certain unique properties of the new shape function based spatiotemporal interpolation method.

KW - Spatiotemporal Interpolation Method

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/655

UR - https://doi.org/10.1007/978-3-540-25954-1_2

U2 - 10.1007/978-3-540-25954-1_2

DO - 10.1007/978-3-540-25954-1_2

M3 - Article

VL - 3074

JO - Constraint Databases: Proceedings of the International Symposium on Constraint Databases and Applications

JF - Constraint Databases: Proceedings of the International Symposium on Constraint Databases and Applications

ER -

A New Shape Function Based Spatiotemporal Interpolation Method

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