病态问题中奇异值修正法初探

摘要

Based on producing island topographical map, DEM and orthograph for scales of 1: l0000,following the processing of photo controls surveying, field annotating, aerotriangulating, stereomapping, this paper summarizes the technology and the process of photogrammetry used in littoral and island topographic survey. Comparing the results with old method of littoral topographic survey, this technology contents the “Specification for hydrographic survey”, and can be used in the area of littoral topographic survey.%在法矩阵的条件数相对较小时,基于奇异值分解理论、截断奇异值分解方法和一种全部修正奇异值分解方法,提出了一种部分修正的奇异值分解方案和一种截断奇异值修正方案,以改善设计阵的病态性,提高参数估值的稳定性和准确性.经过算例验证,当法矩阵的条件数小于106,截断奇异值修正方案比较有效,与其他方法相比,得到的结果精度更高.