ZHANG Yongjun, WU Lei, LIN Liwen, ZHAO Jiaping. Condition Numbers for Evaluation of Ill-Posed Problems in Photogrammetry[J]. Geomatics and Information Science of Wuhan University, 2010, 35(3): 308-312.
Citation: ZHANG Yongjun, WU Lei, LIN Liwen, ZHAO Jiaping. Condition Numbers for Evaluation of Ill-Posed Problems in Photogrammetry[J]. Geomatics and Information Science of Wuhan University, 2010, 35(3): 308-312.

Condition Numbers for Evaluation of Ill-Posed Problems in Photogrammetry

Funds: 国家自然科学基金资助项目(40671157);国家863计划资助项目(2006AA12Z136);国家教育部新世纪优秀人才支持计划资助项目(NCET-07-0645)
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  • Received Date: January 07, 2009
  • Revised Date: January 07, 2009
  • Published Date: March 04, 2010
  • We discuss the principle of condition numbers that used for evaluating the extent of ill-posed problem of normal matrix.There is a contradiction between the stability of solution and the condition number of resection in photogrammetry.We find that it is not suitable in all cases to evaluate the extent of ill-posed problem by condition numbers.Three types of possible risks for evaluation of ill-condition extent with condition numbers were addressed in detail.Removing of outliers and re-parameterization are the prerequisites for evaluation of ill-condition extent with condition numbers.There are two effects of re-parameterization for ill-posed problems.One is improving the problem of ill-condition caused by numerical computation,and the other is avoiding the risk of using norm to evaluate the extent of ill-condition.Results of simulated experiments show that the proposed approach is validate for improving the problem of ill-condition.
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