Browse > Article

NETWORK DESIGN AND PREPROCESSING FOR MULTI-SCALE SPHERICAL BASIS FUNCTION REPRESENTATION  

Oh, Hee-Seok (Department of Statistics, Seoul National University)
Kim, Dong-Hoh (Department of International Management, Hongik University)
Publication Information
Journal of the Korean Statistical Society / v.36, no.2, 2007 , pp. 209-228 More about this Journal
Abstract
Given scattered surface air temperatures observed by a network of weather stations, it is an important problem to estimate the entire temperature field for every location on the globe. Recently, a multi-scale spherical basis function (SBF) representation was proposed by Li (1999) for representing scattered data on the sphere. However, for a successful application of Li (1999)'s method, some practical issues such as network design, bandwidth selection of SBFs and initial coefficients are to be resolved. This paper proposes automatic procedures to design network and to select bandwidths. This paper also considers a preprocessing problem to obtain a stable initial coefficients from scattered data. Experiments with real temperature data demonstrate the promising empirical properties of the proposed approaches.
Keywords
Bandwidth; multi-resolution; network design; preprocessing; spherical basis function;
Citations & Related Records

Times Cited By Web Of Science : 0  (Related Records In Web of Science)
연도 인용수 순위
  • Reference
1 JONES, P. D., RAPER, S. C. B., CHERRY, B. S. G., GOODESS, C. M., WIGLEY, T. M. L, SANTER, B., KELLY, P. M., BRADLEY, R. S. AND DIAZ, H. F. (1991). An updated global grid point surface air temperature anomaly data set: 1851-1988. Environmental Sciences Division Publication No. 3520, U.S. Department of Energy
2 NARCOWICH, F. J. AND WARD, J. D. (1996). 'Nonstationary wavelets on the m-sphere for scattered data', Applied and Computational Harmonic Analysis, 3, 324-336   DOI   ScienceOn
3 Luo, Z.,WAHBA, G. AND JOHNSON, D. R. (1998). 'Spatial-temporal analysis of temperature using smoothing spline anova', Journal of Climate, 11, 18-28   DOI   ScienceOn
4 GOTTELMANN, J. (1996). 'Locally supported wavelets on the sphere', Preprint, Johannes Gutenberg University, Mainz
5 OH, H-S. AND LI, T-H. (2004). 'Estimation of global temperature fields from scattered observations by a spherical-wavelet-based spatially adaptive method', Journal of the Royal Statistical Society, Ser. B, 66, 221-238   DOI   ScienceOn
6 LI, T-H. (1999). 'Multiscale representation and analysis of spherical data by spherical wavelets', SIAM Journal on Scientific Computing, 21, 924-953   DOI   ScienceOn