22. General Least Squares Method and Its Application to Curve Fitting and Coordinate Transformations

  1. Charles D. Ghilani Ph.D. Professor

Published Online: 9 MAR 2010

DOI: 10.1002/9780470586266.ch22

Adjustment Computations: Spatial Data Analysis, Fifth Edition

Adjustment Computations: Spatial Data Analysis, Fifth Edition

How to Cite

Ghilani, C. D. (2010) General Least Squares Method and Its Application to Curve Fitting and Coordinate Transformations, in Adjustment Computations: Spatial Data Analysis, Fifth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470586266.ch22

Author Information

  1. The Pennsylvania State University, USA

Publication History

  1. Published Online: 9 MAR 2010
  2. Published Print: 3 MAR 2010

ISBN Information

Print ISBN: 9780470464915

Online ISBN: 9780470586266

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Keywords:

  • general least squares method and its application - in curve fitting and coordinate transformations;
  • general least squares problem and equivalent solution;
  • numerical solution of straight-line-fit problem;
  • two-dimensional coordinate transformation by general least squares;
  • two-dimensional projective coordinate transformation

Summary

This chapter contains sections titled:

  • Introduction to General Least Squares

  • General Least Squares Equations for Fitting a Straight Line

  • General Least Squares Solution

  • Two-Dimensional Coordinate Transformation by General Least Squares

  • Three-Dimensional Conformal Coordinate Transformation by General Least Squares

  • Problems

  • Programming Problems