Linear interpolation for spatial data grid by newton polynomials


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.


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