Linear interpolation for spatial data grid by newton polynomials
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Authors
Yiming Jiang
- School of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China.
Xiaodong Hu
- School of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China.
Sen Wu
- School of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China.
Ancai Zhang
- School of Automation and Electrical Engineering , Linyi University, Linyi Shandong 276000, China.
Fei Yuan
- China Electric Power Equipment and Technology co., Ltd. Beijing 100052, China.
Lu Liu
- School of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China.
Ridong Zha
- School of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China.
Abstract
This article concerns with an improved interpolation method based on Newton scheme with high
dimensional data. It obtains the interpolation function when the nodes are arranged in a spatial
grid. The spatial interpolation method is systematic and very useful in engineering field. As an
example of application, we use the method to simulate the 3-D temperature field nearby a motor by
27 nodal temperature values. The results show that the interpolation function is quickly obtained
within a limited cube space which realized data visualization. This demonstrates the effectiveness of
the proposed method.
Share and Cite
ISRP Style
Yiming Jiang, Xiaodong Hu, Sen Wu, Ancai Zhang, Fei Yuan, Lu Liu, Ridong Zha, Linear interpolation for spatial data grid by newton polynomials, Journal of Mathematics and Computer Science, 16 (2016), no. 3, 419-434
AMA Style
Jiang Yiming, Hu Xiaodong, Wu Sen, Zhang Ancai, Yuan Fei, Liu Lu, Zha Ridong, Linear interpolation for spatial data grid by newton polynomials. J Math Comput SCI-JM. (2016); 16(3):419-434
Chicago/Turabian Style
Jiang, Yiming, Hu, Xiaodong, Wu, Sen, Zhang, Ancai, Yuan, Fei, Liu, Lu, Zha, Ridong. "Linear interpolation for spatial data grid by newton polynomials." Journal of Mathematics and Computer Science, 16, no. 3 (2016): 419-434
Keywords
- Newton polynomials
- spatial interpolation
- numerical estimation
- data visualization
- simulation
- temperature field.
MSC
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