RETRACTED CHAPTER: Sparse Frame-Polynomial Coupling Representation

Frame representation is widely used in data acquisition, processing, and transmission systems. Due to abrupt discontinuity, the corresponding frame coefficients living near data boundary always have large magnitudes which have nothing to do with the data itself. In order to mitigate such artificial boundary effects, the coupling of frames and polynomials in this chapter is to represent gridded data into the combination of low-dimensional interpolation/projection polynomials and periodic smooth data which are expanded further into periodic frame series. The frame-polynomial coupling technique provides a sparse representation of databases from digital Earth platforms.