Comparison between the General Least Squares method and the Total Least Squares method through coordinate transformation

좌표변환을 통한 일반최소제곱법과 토탈최소제곱법 비교연구

  • 박영무 (인하대학교 환경토목공학부 지리정보공학) ;
  • 김병국 (인하대학교 환경토목공학부 지리정보공학)
  • Published : 2004.11.01

Abstract

Performing adjustments where the observation equations involve more than a single measurement are General Least Squares(GLS) and Total Least Squares(TLS). This paper introduces theory of the GLS and TLS and compared experimentally accuracy and efficiency of those through 2D conformal coordinate transformation and 2D affine coordinate transformation. In conclusion, in case of 2D coordinate transformation, GLS can produce a little more accurate and efficient than TLS. In survey fields, The GLS and TLS can be used cooperatively for adjusting the actual coordinate measurements.

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