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《Science of Surveying and Mapping》 2003-03
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Error estimate of the least squares binary polynomial fitting for map projection

ZHANG Xiao pan, QI Huan(The System Engineering Institute, HUST, Wuhan 430074, China)  
This paper discusses the impact that the distribution of reference points has on the error of least squares binary polynomial fitting for map projection, and puts forward a method based on the rank of some matrix to judge whether these reference points lay on the algebra curve in the space spanned by the binary polynomial with certain order. Then derive the expressions of the error estimate under the condition of the minimal norm and the least squares binary polynomial fitting. The expressions indicate that the error of the least squares on these reference points isn't related to the fitting error.
【CateGory Index】: P208
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