Method to interpolate scattered rainfall data using the thin plate spline, B-spline and energy fairing

Authors:
Benchi Li;Jinjin Zheng;Hongjun Zhou;Lianguan Shen
Affiliations:
Department of Precise Machinery and Precise Instrumentation, University of Science and Technology of China, Hefei, Anhui, P R China;Department of Precise Machinery and Precise Instrumentation, University of Science and Technology of China, Hefei, Anhui, P R China;National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei, Anhui, P R China;Department of Precise Machinery and Precise Instrumentation, University of Science and Technology of China, Hefei, Anhui, P R China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 5
Year:
2009

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Abstract

This paper aims at constructing a smooth surface using scattered rainfall data to gives us a visual distribution of rainfall. A grid is superimposed on the map within the data boundary, and thin plate spline (TPS) method is used to interpolate rainfall data to obtain the values of the grid points. Due to the irregularity of the data boundary, the grid has to be divided into several small regular grids then B-Spline is used to interpolate these grid points to construct surfaces. Finally an energy method is used to join these surfaces together, and it gives us the smoothest joined surfaces in vision.