关键词: B样条, 离散数据插值, 地球物理勘探, 磁异常

Abstract: Due to terrain condition, plenty of observation and sampling are carried on by means of anomalistic and discrete measuring grid during geophysics exploration. For the sake of getting the more rational and correct geophysics anomaly interpretation, keeping the intrinsic field character, it is necessary to interpolate in the even and dense grid. a scattered interpolation with multilevel Bsplines which interpolates in the even and dense grid with scattered and sparse data is introduced in the article. This method establishes a set of grid layers of halfreducing reference point space, and optimizes multilevel scattered interpolation by estimating all scattered datum by means of Bsplines rectifying reference point grid layer. Threelevel Bsplines interpolation can guarantee both the high accuracy and the computing efficiency, which estimates well the even grid point value of two dimension or three dimension on account of the known discrete sparse value. This method is proceeded in academic model tests and the very ideal results obtained firstly. Then it is applied to two actual data processing about geophysical magnetic measure anomaly, good results obtained and the superiority verified. This method can be generalized in the whole geophysical data processing and interpretation.

Key words: B-splines, discrete data, interpolation geophysics exploration, magnetic anomaly