Lifting Wavelet-Based Two-Dimensional Scalar Field Simulation for Underwater Navigation Application

The lack of reference maps has been the constraint factor in underwater geophysical field of earth (GFE) aided navigation research, because the developed positioning algorithms can not be verified by accurate GFE-distribution patterns enough. After analysis of positioning modes in underwater navigation, two-dimensional scalar field can be concluded as the common mathematical fundamental. Combined with the requirements of references' diversity, this paper proposes lifting wavelet-based distribution-detail simulation algorithm, which combines with improved random-relation skeleton generation method. The efficient-generated two-dimensional scalar fields can help test matching algorithms' validity to references' diversity, and can also determine interpolation methods' applicability based on statistical analysis.