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《Geomatics and Information Science of Wuhan University》 2007-05
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General Expression of Least Squares Collocation in Local Gravity Filed

ZHANG Chuanyin1 DING Jian1 CHAO Dingbo2 (1 Chinese Academy of Surveying and Mapping, 16 Beitaiping Road, Haidian Distract, Beijing 100039, China) (2 Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, 129 Luoyu Road, Wuhan 430079, China)  
On the basis of simply analyzing technical characters of least squares collocation, a general expression of experiential covariance function is put forward, which is identic for many gravity field variables of different types and above different heights. With the general expression, we can construct the same arithmetic for interpolation, extrapolation and continuation of local gravity field variables and estimation of different heights of theirs. Some arithmetic characters of least squares collocation are a a nalyzed and some problems are noted in arithmetic realization through testing. It is indicate that the resolution of inverse covariance matrix is not a key problem at all and the main mission is to study more efficient, more exact experiential covariance function for least squares collocation in local gravity field.
【Fund】: 国家自然科学基金资助项目(40274003)。
【CateGory Index】: P223
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