Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference (한국측량학회:학술대회논문집)

Korean Society of Surveying, Geodesy, Photogrammetry and Cartography (한국측량학회)
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A Comparison Study on Total Least Squares and Least Squares

토털최소제곱법과 최소제곱법의 비교연구

  • 이임평 (서울시립대학교 도시과학대학 지적정보공학과) ;
  • 최윤수 (서울시립대학교 도시과학대학 지적정보공학과) ;
  • 권재현 (세종대학교 공과대학 지구정보공학과)
  • Published : 2003.10.01
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Abstract

The Total Least Squares (TLS) method is introduced in comparison with the conventional Least Squares (LS) method. The principles and mathematical models for both methods are summarized and the comparison results from their applications to a simple geometric example, fitting a straight line to a set of 2D points are presented. As conceptually reasoned, the results clearly indicate that LS is more susceptible of producing wrong parameters with worse precision rather than TLS. For many applications in surveying, can adjustment computation and parameter estimation based on TLS provide better results.

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