Two-dimensional double successive projection method for high accuracy surface modeling
Yan Changqing · National Remote Sensing Bulletin · 2013
High Accuracy Surface Modeling ( HASM) method,based on the fundamental theorem of surfaces,provides a solution to the error problem that long troubled geographic information science. Although HASM has a sound theoretical foundation,the low computing efficiency arising from solving large scale linear systems,poses a severe limitation on its wide-spread applications in construction of large scale and high resolution surfaces. In order to achieve a high speed,we developed an algorithm based on two dimensional Double Successive Projection Method ( HASM-DSPM) ,which significantly improves the performance by adopting strategies of project space adjustment and two-step correction. HASM-DSPM is examined by both numerical experiment and real world experiment,the results of which both illustrate that HASM can surpass Gauss-Seidel ( GS ) and Modified GS ( MGS ) in convergence pace and computational speed. Furthermore,compared with other classical surface modeling methods,our method has obviously higher accuracy.